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Complete low pass report

master
Apostolos Fanakis 6 years ago
parent
commit
70aa45bbd6
  1. BIN
      Band Pass Chebyshev/Multisim/band_pass_chebyshev.ms14
  2. BIN
      Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev.ms14
  3. 0
      Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev_bode_plotter.csv
  4. 0
      Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev_bode_plotter.svg
  5. 378
      Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev_bode_plotter_with_values.svg
  6. 5550
      Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev_oscilloscope.csv
  7. 300
      Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev_oscilloscope_combined_input_output_sig.svg
  8. 299
      Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev_oscilloscope_input_sig.svg
  9. 299
      Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev_oscilloscope_output_sig.svg
  10. 347
      Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev_spectrum_analyzer_combined_input_output.svg
  11. 513
      Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev_spectrum_analyzer_input.csv
  12. 325
      Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev_spectrum_analyzer_input.svg
  13. 513
      Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev_spectrum_analyzer_output.csv
  14. 325
      Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev_spectrum_analyzer_output.svg
  15. 126
      Low Pass Inverse Chebyshev/Multisim/multisim_csv_plot.m
  16. 266
      Low Pass Inverse Chebyshev/low_pass_inversed_chebyshev_combined_input_output_sig.svg
  17. 446
      Low Pass Inverse Chebyshev/low_pass_inversed_chebyshev_input_spectrum.svg
  18. 241
      Low Pass Inverse Chebyshev/low_pass_inversed_chebyshev_input_spectrum_zoom.svg
  19. 439
      Low Pass Inverse Chebyshev/low_pass_inversed_chebyshev_output_spectrum.svg
  20. 241
      Low Pass Inverse Chebyshev/low_pass_inversed_chebyshev_output_spectrum_zoom.svg
  21. 9
      report/0_intro/0_intro.pug
  22. 2
      report/1_low_pass/1_low_pass.pug
  23. 20
      report/1_low_pass/1_low_pass_design.pug
  24. 37
      report/1_low_pass/1_low_pass_transfer_function_matlab.pug
  25. 172
      report/1_low_pass/1_low_pass_transfer_function_multisim.pug
  26. 552
      report/1_low_pass/assets/diagrams/matlab_combined_transfer_functions_bode.svg
  27. 227
      report/1_low_pass/assets/diagrams/matlab_low_pass_inversed_chebyshev_combined_input_output_sig.svg
  28. 668
      report/1_low_pass/assets/diagrams/matlab_low_pass_inversed_chebyshev_input_spectrum.svg
  29. 763
      report/1_low_pass/assets/diagrams/matlab_low_pass_inversed_chebyshev_input_spectrum_zoom.svg
  30. 652
      report/1_low_pass/assets/diagrams/matlab_low_pass_inversed_chebyshev_output_spectrum.svg
  31. 706
      report/1_low_pass/assets/diagrams/matlab_low_pass_inversed_chebyshev_output_spectrum_zoom.svg
  32. 378
      report/1_low_pass/assets/diagrams/multisim_low_pass_inversed_chebyshev_bode_plotter_with_values.svg
  33. 754
      report/1_low_pass/assets/diagrams/multisim_low_pass_inversed_chebyshev_oscilloscope_combined_input_output_sig.svg
  34. 407
      report/1_low_pass/assets/diagrams/multisim_low_pass_inversed_chebyshev_oscilloscope_input_sig.svg
  35. 575
      report/1_low_pass/assets/diagrams/multisim_low_pass_inversed_chebyshev_oscilloscope_output_sig.svg
  36. 281
      report/1_low_pass/assets/diagrams/multisim_low_pass_inversed_chebyshev_spectrum_analyzer_combined_input_output.svg
  37. 250
      report/1_low_pass/assets/diagrams/multisim_low_pass_inversed_chebyshev_spectrum_analyzer_input.svg
  38. 250
      report/1_low_pass/assets/diagrams/multisim_low_pass_inversed_chebyshev_spectrum_analyzer_output.svg
  39. 6
      report/diagrams/diagram.mermaid
  40. 7
      report/diagrams/diagram.svg
  41. 1
      report/diagrams/plot.svg
  42. 18
      report/diagrams/plot.vegalite.json

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Band Pass Chebyshev/Multisim/band_pass_chebyshev.ms14

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Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev.ms14

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0
Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev_bode_plot.csv → Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev_bode_plotter.csv

1 X--Trace 1::[Bode Result] Y--Trace 1::[Bode Result]
2 10 0.999332
3 10.0231 0.999332
4 10.0462 0.999332
5 10.0693 0.999332
6 10.0925 0.999332
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9 10.1625 0.999332
10 10.1859 0.999332
11 10.2094 0.999332
12 10.2329 0.999332
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14 10.2802 0.999332
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17 10.3514 0.999332
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20 10.4232 0.999332
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27 10.5925 0.999332
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29 10.6414 0.999332
30 10.666 0.999332
31 10.6905 0.999332
32 10.7152 0.999332
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34 10.7647 0.999332
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55 11.298 0.999332
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82 12.0226 0.999332
83 12.0504 0.999332
84 12.0781 0.999332
85 12.106 0.999332
86 12.1339 0.999332
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88 12.1899 0.999332
89 12.218 0.999332
90 12.2462 0.999332
91 12.2744 0.999332
92 12.3027 0.999332
93 12.331 0.999332
94 12.3595 0.999332
95 12.388 0.999332
96 12.4165 0.999332
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99 12.5026 0.999332
100 12.5314 0.999332
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103 12.6183 0.999332
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105 12.6765 0.999332
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215 16.3305 0.999332
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226 16.7494 0.999332
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229 16.8655 0.999332
230 16.9044 0.999332
231 16.9434 0.999332
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233 17.0216 0.999332
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240 17.2982 0.999332
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250 17.7011 0.999332
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260 18.1134 0.999332
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1917 822.243 0.999336
1918 824.138 0.999336
1919 826.038 0.999336
1920 827.942 0.999336
1921 829.851 0.999336
1922 831.764 0.999336
1923 833.681 0.999336
1924 835.603 0.999336
1925 837.529 0.999336
1926 839.46 0.999336
1927 841.395 0.999336
1928 843.335 0.999336
1929 845.279 0.999336
1930 847.227 0.999336
1931 849.18 0.999336
1932 851.138 0.999336
1933 853.1 0.999336
1934 855.067 0.999336
1935 857.038 0.999337
1936 859.014 0.999337
1937 860.994 0.999337
1938 862.979 0.999337
1939 864.968 0.999337
1940 866.962 0.999337
1941 868.96 0.999337
1942 870.964 0.999337
1943 872.971 0.999337
1944 874.984 0.999337
1945 877.001 0.999337
1946 879.023 0.999337
1947 881.049 0.999337
1948 883.08 0.999337
1949 885.116 0.999337
1950 887.156 0.999337
1951 889.201 0.999337
1952 891.251 0.999337
1953 893.305 0.999337
1954 895.365 0.999337
1955 897.429 0.999337
1956 899.498 0.999337
1957 901.571 0.999337
1958 903.649 0.999337
1959 905.733 0.999337
1960 907.821 0.999337
1961 909.913 0.999337
1962 912.011 0.999337
1963 914.113 0.999337
1964 916.22 0.999337
1965 918.333 0.999337
1966 920.45 0.999337
1967 922.571 0.999337
1968 924.698 0.999337
1969 926.83 0.999337
1970 928.966 0.999337
1971 931.108 0.999337
1972 933.254 0.999337
1973 935.406 0.999337
1974 937.562 0.999337
1975 939.723 0.999337
1976 941.89 0.999337
1977 944.061 0.999337
1978 946.237 0.999337
1979 948.418 0.999338
1980 950.605 0.999338
1981 952.796 0.999338
1982 954.993 0.999338
1983 957.194 0.999338
1984 959.401 0.999338
1985 961.612 0.999338
1986 963.829 0.999338
1987 966.051 0.999338
1988 968.278 0.999338
1989 970.51 0.999338
1990 972.747 0.999338
1991 974.99 0.999338
1992 977.237 0.999338
1993 979.49 0.999338
1994 981.748 0.999338
1995 984.011 0.999338
1996 986.279 0.999338
1997 988.553 0.999338
1998 990.832 0.999338
1999 993.116 0.999338
2000 995.405 0.999338
2001 997.7 0.999338
2002 1000 0.999338
2003 1002.31 0.999338
2004 1004.62 0.999338
2005 1006.93 0.999338
2006 1009.25 0.999338
2007 1011.58 0.999338
2008 1013.91 0.999338
2009 1016.25 0.999338
2010 1018.59 0.999338
2011 1020.94 0.999338
2012 1023.29 0.999338
2013 1025.65 0.999338
2014 1028.02 0.999338
2015 1030.39 0.999338
2016 1032.76 0.999338
2017 1035.14 0.999339
2018 1037.53 0.999339
2019 1039.92 0.999339
2020 1042.32 0.999339
2021 1044.72 0.999339
2022 1047.13 0.999339
2023 1049.54 0.999339
2024 1051.96 0.999339
2025 1054.39 0.999339
2026 1056.82 0.999339
2027 1059.25 0.999339
2028 1061.7 0.999339
2029 1064.14 0.999339
2030 1066.6 0.999339
2031 1069.05 0.999339
2032 1071.52 0.999339
2033 1073.99 0.999339
2034 1076.47 0.999339
2035 1078.95 0.999339
2036 1081.43 0.999339
2037 1083.93 0.999339
2038 1086.43 0.999339
2039 1088.93 0.999339
2040 1091.44 0.999339
2041 1093.96 0.999339
2042 1096.48 0.999339
2043 1099.01 0.999339
2044 1101.54 0.999339
2045 1104.08 0.999339
2046 1106.62 0.999339
2047 1109.17 0.999339
2048 1111.73 0.999339
2049 1114.29 0.99934
2050 1116.86 0.99934
2051 1119.44 0.99934
2052 1122.02 0.99934
2053 1124.6 0.99934
2054 1127.2 0.99934
2055 1129.8 0.99934
2056 1132.4 0.99934
2057 1135.01 0.99934
2058 1137.63 0.99934
2059 1140.25 0.99934
2060 1142.88 0.99934
2061 1145.51 0.99934
2062 1148.15 0.99934
2063 1150.8 0.99934
2064 1153.45 0.99934
2065 1156.11 0.99934
2066 1158.78 0.99934
2067 1161.45 0.99934
2068 1164.13 0.99934
2069 1166.81 0.99934
2070 1169.5 0.99934
2071 1172.2 0.99934
2072 1174.9 0.99934
2073 1177.61 0.99934
2074 1180.32 0.99934
2075 1183.04 0.99934
2076 1185.77 0.99934
2077 1188.5 0.999341
2078 1191.24 0.999341
2079 1193.99 0.999341
2080 1196.74 0.999341
2081 1199.5 0.999341
2082 1202.26 0.999341
2083 1205.04 0.999341
2084 1207.81 0.999341
2085 1210.6 0.999341
2086 1213.39 0.999341
2087 1216.19 0.999341
2088 1218.99 0.999341
2089 1221.8 0.999341
2090 1224.62 0.999341
2091 1227.44 0.999341
2092 1230.27 0.999341
2093 1233.1 0.999341
2094 1235.95 0.999341
2095 1238.8 0.999341
2096 1241.65 0.999341
2097 1244.51 0.999341
2098 1247.38 0.999341
2099 1250.26 0.999341
2100 1253.14 0.999341
2101 1256.03 0.999341
2102 1258.93 0.999342
2103 1261.83 0.999342
2104 1264.74 0.999342
2105 1267.65 0.999342
2106 1270.57 0.999342
2107 1273.5 0.999342
2108 1276.44 0.999342
2109 1279.38 0.999342
2110 1282.33 0.999342
2111 1285.29 0.999342
2112 1288.25 0.999342
2113 1291.22 0.999342
2114 1294.2 0.999342
2115 1297.18 0.999342
2116 1300.17 0.999342
2117 1303.17 0.999342
2118 1306.17 0.999342
2119 1309.18 0.999342
2120 1312.2 0.999342
2121 1315.22 0.999342
2122 1318.26 0.999342
2123 1321.3 0.999342
2124 1324.34 0.999342
2125 1327.39 0.999343
2126 1330.45 0.999343
2127 1333.52 0.999343
2128 1336.6 0.999343
2129 1339.68 0.999343
2130 1342.76 0.999343
2131 1345.86 0.999343
2132 1348.96 0.999343
2133 1352.07 0.999343
2134 1355.19 0.999343
2135 1358.31 0.999343
2136 1361.44 0.999343
2137 1364.58 0.999343
2138 1367.73 0.999343
2139 1370.88 0.999343
2140 1374.04 0.999343
2141 1377.21 0.999343
2142 1380.38 0.999343
2143 1383.57 0.999343
2144 1386.76 0.999343
2145 1389.95 0.999343
2146 1393.16 0.999344
2147 1396.37 0.999344
2148 1399.59 0.999344
2149 1402.81 0.999344
2150 1406.05 0.999344
2151 1409.29 0.999344
2152 1412.54 0.999344
2153 1415.79 0.999344
2154 1419.06 0.999344
2155 1422.33 0.999344
2156 1425.61 0.999344
2157 1428.89 0.999344
2158 1432.19 0.999344
2159 1435.49 0.999344
2160 1438.8 0.999344
2161 1442.12 0.999344
2162 1445.44 0.999344
2163 1448.77 0.999344
2164 1452.11 0.999344
2165 1455.46 0.999345
2166 1458.81 0.999345
2167 1462.18 0.999345
2168 1465.55 0.999345
2169 1468.93 0.999345
2170 1472.31 0.999345
2171 1475.71 0.999345
2172 1479.11 0.999345
2173 1482.52 0.999345
2174 1485.94 0.999345
2175 1489.36 0.999345
2176 1492.79 0.999345
2177 1496.24 0.999345
2178 1499.68 0.999345
2179 1503.14 0.999345
2180 1506.61 0.999345
2181 1510.08 0.999345
2182 1513.56 0.999345
2183 1517.05 0.999346
2184 1520.55 0.999346
2185 1524.05 0.999346
2186 1527.57 0.999346
2187 1531.09 0.999346
2188 1534.62 0.999346
2189 1538.15 0.999346
2190 1541.7 0.999346
2191 1545.25 0.999346
2192 1548.82 0.999346
2193 1552.39 0.999346
2194 1555.97 0.999346
2195 1559.55 0.999346
2196 1563.15 0.999346
2197 1566.75 0.999346
2198 1570.36 0.999346
2199 1573.98 0.999346
2200 1577.61 0.999347
2201 1581.25 0.999347
2202 1584.89 0.999347
2203 1588.55 0.999347
2204 1592.21 0.999347
2205 1595.88 0.999347
2206 1599.56 0.999347
2207 1603.25 0.999347
2208 1606.94 0.999347
2209 1610.65 0.999347
2210 1614.36 0.999347
2211 1618.08 0.999347
2212 1621.81 0.999347
2213 1625.55 0.999347
2214 1629.3 0.999347
2215 1633.05 0.999347
2216 1636.82 0.999347
2217 1640.59 0.999348
2218 1644.37 0.999348
2219 1648.16 0.999348
2220 1651.96 0.999348
2221 1655.77 0.999348
2222 1659.59 0.999348
2223 1663.41 0.999348
2224 1667.25 0.999348
2225 1671.09 0.999348
2226 1674.94 0.999348
2227 1678.8 0.999348
2228 1682.67 0.999348
2229 1686.55 0.999348
2230 1690.44 0.999348
2231 1694.34 0.999348
2232 1698.24 0.999349
2233 1702.16 0.999349
2234 1706.08 0.999349
2235 1710.02 0.999349
2236 1713.96 0.999349
2237 1717.91 0.999349
2238 1721.87 0.999349
2239 1725.84 0.999349
2240 1729.82 0.999349
2241 1733.8 0.999349
2242 1737.8 0.999349
2243 1741.81 0.999349
2244 1745.82 0.999349
2245 1749.85 0.999349
2246 1753.88 0.999349
2247 1757.92 0.99935
2248 1761.98 0.99935
2249 1766.04 0.99935
2250 1770.11 0.99935
2251 1774.19 0.99935
2252 1778.28 0.99935
2253 1782.38 0.99935
2254 1786.49 0.99935
2255 1790.61 0.99935
2256 1794.73 0.99935
2257 1798.87 0.99935
2258 1803.02 0.99935
2259 1807.17 0.99935
2260 1811.34 0.99935
2261 1815.52 0.999351
2262 1819.7 0.999351
2263 1823.9 0.999351
2264 1828.1 0.999351
2265 1832.31 0.999351
2266 1836.54 0.999351
2267 1840.77 0.999351
2268 1845.02 0.999351
2269 1849.27 0.999351
2270 1853.53 0.999351
2271 1857.8 0.999351
2272 1862.09 0.999351
2273 1866.38 0.999351
2274 1870.68 0.999351
2275 1874.99 0.999351
2276 1879.32 0.999352
2277 1883.65 0.999352
2278 1887.99 0.999352
2279 1892.34 0.999352
2280 1896.71 0.999352
2281 1901.08 0.999352
2282 1905.46 0.999352
2283 1909.85 0.999352
2284 1914.26 0.999352
2285 1918.67 0.999352
2286 1923.09 0.999352
2287 1927.52 0.999352
2288 1931.97 0.999352
2289 1936.42 0.999352
2290 1940.89 0.999353
2291 1945.36 0.999353
2292 1949.84 0.999353
2293 1954.34 0.999353
2294 1958.84 0.999353
2295 1963.36 0.999353
2296 1967.89 0.999353
2297 1972.42 0.999353
2298 1976.97 0.999353
2299 1981.53 0.999353
2300 1986.09 0.999353
2301 1990.67 0.999353
2302 1995.26 0.999353
2303 1999.86 0.999353
2304 2004.47 0.999354
2305 2009.09 0.999354
2306 2013.72 0.999354
2307 2018.37 0.999354
2308 2023.02 0.999354
2309 2027.68 0.999354
2310 2032.36 0.999354
2311 2037.04 0.999354
2312 2041.74 0.999354
2313 2046.44 0.999354
2314 2051.16 0.999354
2315 2055.89 0.999354
2316 2060.63 0.999354
2317 2065.38 0.999354
2318 2070.14 0.999354
2319 2074.91 0.999355
2320 2079.7 0.999355
2321 2084.49 0.999355
2322 2089.3 0.999355
2323 2094.11 0.999355
2324 2098.94 0.999355
2325 2103.78 0.999355
2326 2108.63 0.999355
2327 2113.49 0.999355
2328 2118.36 0.999355
2329 2123.24 0.999355
2330 2128.14 0.999355
2331 2133.04 0.999355
2332 2137.96 0.999355
2333 2142.89 0.999355
2334 2147.83 0.999355
2335 2152.78 0.999355
2336 2157.74 0.999356
2337 2162.72 0.999356
2338 2167.7 0.999356
2339 2172.7 0.999356
2340 2177.71 0.999356
2341 2182.73 0.999356
2342 2187.76 0.999356
2343 2192.8 0.999356
2344 2197.86 0.999356
2345 2202.93 0.999356
2346 2208 0.999356
2347 2213.09 0.999356
2348 2218.2 0.999356
2349 2223.31 0.999356
2350 2228.44 0.999356
2351 2233.57 0.999356
2352 2238.72 0.999356
2353 2243.88 0.999356
2354 2249.05 0.999356
2355 2254.24 0.999356
2356 2259.44 0.999357
2357 2264.64 0.999357
2358 2269.86 0.999357
2359 2275.1 0.999357
2360 2280.34 0.999357
2361 2285.6 0.999357
2362 2290.87 0.999357
2363 2296.15 0.999357
2364 2301.44 0.999357
2365 2306.75 0.999357
2366 2312.06 0.999357
2367 2317.39 0.999357
2368 2322.74 0.999357
2369 2328.09 0.999357
2370 2333.46 0.999357
2371 2338.84 0.999357
2372 2344.23 0.999357
2373 2349.63 0.999357
2374 2355.05 0.999357
2375 2360.48 0.999357
2376 2365.92 0.999357
2377 2371.37 0.999357
2378 2376.84 0.999357
2379 2382.32 0.999357
2380 2387.81 0.999357
2381 2393.32 0.999357
2382 2398.83 0.999357
2383 2404.36 0.999357
2384 2409.91 0.999357
2385 2415.46 0.999357
2386 2421.03 0.999357
2387 2426.61 0.999357
2388 2432.2 0.999357
2389 2437.81 0.999357
2390 2443.43 0.999357
2391 2449.06 0.999357
2392 2454.71 0.999357
2393 2460.37 0.999357
2394 2466.04 0.999357
2395 2471.72 0.999357
2396 2477.42 0.999357
2397 2483.13 0.999357
2398 2488.86 0.999357
2399 2494.59 0.999357
2400 2500.35 0.999357
2401 2506.11 0.999357
2402 2511.89 0.999357
2403 2517.68 0.999356
2404 2523.48 0.999356
2405 2529.3 0.999356
2406 2535.13 0.999356
2407 2540.97 0.999356
2408 2546.83 0.999356
2409 2552.7 0.999356
2410 2558.59 0.999356
2411 2564.48 0.999356
2412 2570.4 0.999356
2413 2576.32 0.999356
2414 2582.26 0.999356
2415 2588.21 0.999356
2416 2594.18 0.999355
2417 2600.16 0.999355
2418 2606.15 0.999355
2419 2612.16 0.999355
2420 2618.18 0.999355
2421 2624.22 0.999355
2422 2630.27 0.999355
2423 2636.33 0.999355
2424 2642.41 0.999354
2425 2648.5 0.999354
2426 2654.61 0.999354
2427 2660.73 0.999354
2428 2666.86 0.999354
2429 2673.01 0.999354
2430 2679.17 0.999353
2431 2685.34 0.999353
2432 2691.53 0.999353
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2434 2703.96 0.999353
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2440 2741.57 0.999351
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2445 2773.32 0.99935
2446 2779.71 0.99935
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2448 2792.54 0.999349
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2450 2805.43 0.999349
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2455 2837.92 0.999347
2456 2844.46 0.999347
2457 2851.02 0.999346
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2460 2870.78 0.999345
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2480 3006.08 0.999334
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2484 3033.89 0.999331
2485 3040.89 0.99933
2486 3047.89 0.99933
2487 3054.92 0.999329
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2494 3104.56 0.999323
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2496 3118.89 0.999321
2497 3126.08 0.99932
2498 3133.29 0.999319
2499 3140.51 0.999318
2500 3147.75 0.999317
2501 3155 0.999316
2502 3162.28 0.999314
2503 3169.57 0.999313
2504 3176.87 0.999312
2505 3184.2 0.999311
2506 3191.54 0.99931
2507 3198.9 0.999308
2508 3206.27 0.999307
2509 3213.66 0.999306
2510 3221.07 0.999304
2511 3228.49 0.999303
2512 3235.94 0.999302
2513 3243.4 0.9993
2514 3250.87 0.999299
2515 3258.37 0.999297
2516 3265.88 0.999296
2517 3273.41 0.999294
2518 3280.95 0.999293
2519 3288.52 0.999291
2520 3296.1 0.999289
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2522 3311.31 0.999286
2523 3318.94 0.999284
2524 3326.6 0.999282
2525 3334.26 0.999281
2526 3341.95 0.999279
2527 3349.65 0.999277
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2529 3365.12 0.999273
2530 3372.87 0.999271
2531 3380.65 0.999269
2532 3388.44 0.999267
2533 3396.25 0.999264
2534 3404.08 0.999262
2535 3411.93 0.99926
2536 3419.79 0.999257
2537 3427.68 0.999255
2538 3435.58 0.999253
2539 3443.5 0.99925
2540 3451.44 0.999248
2541 3459.39 0.999245
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2543 3475.36 0.99924
2544 3483.37 0.999237
2545 3491.4 0.999234
2546 3499.45 0.999231
2547 3507.52 0.999228
2548 3515.6 0.999225
2549 3523.71 0.999222
2550 3531.83 0.999219
2551 3539.97 0.999216
2552 3548.13 0.999213
2553 3556.31 0.999209
2554 3564.51 0.999206
2555 3572.73 0.999203
2556 3580.96 0.999199
2557 3589.22 0.999195
2558 3597.49 0.999192
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2578 3767.04 0.9991
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2581 3793.15 0.999083
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2595 3917.42 0.998986
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2597 3935.5 0.99897
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2599 3953.67 0.998953
2600 3962.78 0.998944
2601 3971.92 0.998935
2602 3981.07 0.998926
2603 3990.25 0.998917
2604 3999.45 0.998908
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>Frequency (Hz)</text
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>0</text
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>Spectrum analyzer plot</text
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After

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Low Pass Inverse Chebyshev/Multisim/low_pass_inversed_chebyshev_spectrum_analyzer_input.csv

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513
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15900,1.90158e-012,,0,0
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16900,1.72377e-012,,0,0
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21200,4.10915e-005,,0,0
21300,1.65735e-012,,0,0
21400,1.06399e-012,,0,0
21500,1.54486e-012,,0,0
21600,0.000514199,,0,0
21700,1.76968e-012,,0,0
21800,1.25609e-012,,0,0
21900,1.66605e-012,,0,0
22000,0.00240568,,0,0
22100,1.09663e-012,,0,0
22200,1.04226e-012,,0,0
22300,1.71462e-012,,0,0
22400,0.000192236,,0,0
22500,1.61751e-012,,0,0
22600,1.15178e-012,,0,0
22700,1.6241e-012,,0,0
22800,0.000363527,,0,0
22900,1.61947e-012,,0,0
23000,1.03122e-012,,0,0
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23200,0.000449961,,0,0
23300,1.62851e-012,,0,0
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25000,1.12921e-012,,0,0
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25600,0.000619737,,0,0
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26000,0.000715511,,0,0
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26400,0.000340668,,0,0
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28000,0.000587316,,0,0
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29000,1.08247e-012,,0,0
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29600,0.000483532,,0,0
29700,1.59165e-012,,0,0
29800,1.13697e-012,,0,0
29900,1.66892e-012,,0,0
30000,0.000190691,,0,0
30100,1.67252e-012,,0,0
30200,1.23721e-012,,0,0
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30500,1.56625e-012,,0,0
30600,1.14786e-012,,0,0
30700,1.63801e-012,,0,0
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31000,1.09374e-012,,0,0
31100,1.521e-012,,0,0
31200,3.26001e-005,,0,0
31300,1.60449e-012,,0,0
31400,1.03877e-012,,0,0
31500,1.56889e-012,,0,0
31600,0.000497005,,0,0
31700,1.69693e-012,,0,0
31800,1.15489e-012,,0,0
31900,1.50526e-012,,0,0
32000,0.000146713,,0,0
32100,1.3579e-012,,0,0
32200,1.17876e-012,,0,0
32300,1.76464e-012,,0,0
32400,0.000191044,,0,0
32500,1.65471e-012,,0,0
32600,1.17588e-012,,0,0
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32800,0.000382431,,0,0
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33000,1.04035e-012,,0,0
33100,1.54314e-012,,0,0
33200,0.000443599,,0,0
33300,1.60849e-012,,0,0
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34400,0.000882655,,0,0
34500,1.57254e-012,,0,0
34600,1.13058e-012,,0,0
34700,1.60026e-012,,0,0
34800,0.00021697,,0,0
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35000,1.1048e-012,,0,0
35100,1.5831e-012,,0,0
35200,0.000256765,,0,0
35300,1.58237e-012,,0,0
35400,1.03497e-012,,0,0
35500,1.56963e-012,,0,0
35600,0.000590384,,0,0
35700,1.68997e-012,,0,0
35800,1.19596e-012,,0,0
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36000,0.000141292,,0,0
36100,1.48168e-012,,0,0
36200,1.14612e-012,,0,0
36300,1.63743e-012,,0,0
36400,0.000372945,,0,0
36500,1.61753e-012,,0,0
36600,1.17694e-012,,0,0
36700,1.66691e-012,,0,0
36800,0.000522778,,0,0
36900,1.63541e-012,,0,0
37000,1.0465e-012,,0,0
37100,1.51111e-012,,0,0
37200,0.000282866,,0,0
37300,1.60162e-012,,0,0
37400,1.04975e-012,,0,0
37500,1.58541e-012,,0,0
37600,0.000206169,,0,0
37700,1.58732e-012,,0,0
37800,1.04913e-012,,0,0
37900,1.41209e-012,,0,0
38000,0.000610702,,0,0
38100,1.65343e-012,,0,0
38200,1.34275e-012,,0,0
38300,1.85914e-012,,0,0
38400,0.000668166,,0,0
38500,1.63881e-012,,0,0
38600,1.14615e-012,,0,0
38700,1.5966e-012,,0,0
38800,0.000114991,,0,0
38900,1.61759e-012,,0,0
39000,1.07837e-012,,0,0
39100,1.60077e-012,,0,0
39200,0.000432378,,0,0
39300,1.58595e-012,,0,0
39400,1.03597e-012,,0,0
39500,1.56099e-012,,0,0
39600,0.000453629,,0,0
39700,1.61358e-012,,0,0
39800,1.16093e-012,,0,0
39900,1.68616e-012,,0,0
40000,0.000189951,,0,0
40100,1.70959e-012,,0,0
40200,1.24843e-012,,0,0
40300,1.65265e-012,,0,0
40400,0.000793452,,0,0
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41000,1.07359e-012,,0,0
41100,1.53826e-012,,0,0
41200,2.64026e-005,,0,0
41300,1.57943e-012,,0,0
41400,1.05146e-012,,0,0
41500,1.60531e-012,,0,0
41600,0.000482353,,0,0
41700,1.66176e-012,,0,0
41800,1.12578e-012,,0,0
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42000,0.000653483,,0,0
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42200,1.22855e-012,,0,0
42300,1.75488e-012,,0,0
42400,0.000190233,,0,0
42500,1.6752e-012,,0,0
42600,1.18135e-012,,0,0
42700,1.6383e-012,,0,0
42800,0.000403511,,0,0
42900,1.59766e-012,,0,0
43000,1.0461e-012,,0,0
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43200,0.000438586,,0,0
43300,1.60161e-012,,0,0
43400,1.05036e-012,,0,0
43500,1.58016e-012,,0,0
43600,0.000148952,,0,0
43700,1.55794e-012,,0,0
43800,1.09483e-012,,0,0
43900,1.58794e-012,,0,0
44000,0.000609852,,0,0
44100,1.81082e-012,,0,0
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44500,1.54243e-012,,0,0
44600,1.1014e-012,,0,0
44700,1.59605e-012,,0,0
44800,0.000213056,,0,0
44900,1.64451e-012,,0,0
45000,1.08672e-012,,0,0
45100,1.58756e-012,,0,0
45200,0.000264707,,0,0
45300,1.56707e-012,,0,0
45400,1.04147e-012,,0,0
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45600,0.000564739,,0,0
45700,1.68192e-012,,0,0
45800,1.18638e-012,,0,0
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46000,0.000354486,,0,0
46100,1.55999e-012,,0,0
46200,1.16408e-012,,0,0
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46400,0.000390128,,0,0
46500,1.62198e-012,,0,0
46600,1.17753e-012,,0,0
46700,1.67132e-012,,0,0
46800,0.000542337,,0,0
46900,1.61378e-012,,0,0
47000,1.04766e-012,,0,0
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47500,1.61839e-012,,0,0
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48500,1.62463e-012,,0,0
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48800,0.000131179,,0,0
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49700,1.62917e-012,,0,0
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49900,1.68155e-012,,0,0
50000,0.000189843,,0,0
50100,1.73045e-012,,0,0
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50600,1.12513e-012,,0,0
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50900,1.63177e-012,,0,0
51000,1.06462e-012,,0,0
51100,1.55452e-012,,0,0
1 X--Trace 1::[Signal] Y--Trace 1::[Signal] X--Trace 2::[Ref_Line] Y--Trace 2::[Ref_Line]
2 0 0.399641 0 0
3 100 1.41485e-012 0 0
4 200 1.19875e-012 0 0
5 300 2.15687e-012 0 0
6 400 0.000598685 0 0
7 500 1.6061e-012 0 0
8 600 1.91077e-012 0 0
9 700 2.67771e-012 0 0
10 800 0.000434894 0 0
11 900 2.26742e-012 0 0
12 1000 2.12495e-012 0 0
13 1100 2.45361e-012 0 0
14 1200 6.18964e-005 0 0
15 1300 2.11272e-012 0 0
16 1400 1.66795e-012 0 0
17 1500 2.21608e-012 0 0
18 1600 0.000557398 0 0
19 1700 1.44571e-012 0 0
20 1800 2.91674e-012 0 0
21 1900 6.99589e-012 0 0
22 2000 0.605147 0 0
23 2100 6.75709e-012 0 0
24 2200 2.72748e-012 0 0
25 2300 1.23995e-012 0 0
26 2400 0.000195673 0 0
27 2500 2.62792e-012 0 0
28 2600 2.0126e-012 0 0
29 2700 2.08376e-012 0 0
30 2800 0.000331164 0 0
31 2900 2.98548e-012 0 0
32 3000 2.33018e-012 0 0
33 3100 2.01597e-012 0 0
34 3200 0.000467092 0 0
35 3300 3.11065e-012 0 0
36 3400 2.17974e-012 0 0
37 3500 1.72065e-012 0 0
38 3600 0.000242147 0 0
39 3700 2.93798e-012 0 0
40 3800 2.72987e-012 0 0
41 3900 4.34873e-012 0 0
42 4000 0.187132 0 0
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46 4400 0.000734927 0 0
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101 9900 1.79785e-012 0 0
102 10000 0.000188436 0 0
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116 11400 1.00224e-012 0 0
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122 12000 0.00275697 0 0
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124 12200 1.16402e-012 0 0
125 12300 1.73086e-012 0 0
126 12400 0.000193786 0 0
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128 12600 1.12279e-012 0 0
129 12700 1.63044e-012 0 0
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/><line y2="817.976" style="fill:none;" x1="1723.12" x2="1723.12" y1="812.024"
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><g transform="translate(250,828.952)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-6" xml:space="preserve" y="21" style="stroke:none;"
>0</text
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><g transform="translate(398.8,828.952)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-14" xml:space="preserve" y="21" style="stroke:none;"
>0.2</text
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><g transform="translate(547.6,828.952)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
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>0.4</text
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><text x="-14" xml:space="preserve" y="21" style="stroke:none;"
>0.6</text
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>0.8</text
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><text x="-6" xml:space="preserve" y="21" style="stroke:none;"
>1</text
></g
><g transform="translate(1142.8,828.952)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-14" xml:space="preserve" y="21" style="stroke:none;"
>1.2</text
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><g transform="translate(1291.6,828.952)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-14" xml:space="preserve" y="21" style="stroke:none;"
>1.4</text
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><g transform="translate(1440.4,828.952)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-14" xml:space="preserve" y="21" style="stroke:none;"
>1.6</text
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><g transform="translate(1589.2,828.952)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-14" xml:space="preserve" y="21" style="stroke:none;"
>1.8</text
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><g transform="translate(1738,828.952)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-6" xml:space="preserve" y="21" style="stroke:none;"
>2</text
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><g transform="translate(994.0007,856.952)" style="text-rendering:geometricPrecision; font-size:22px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-76" xml:space="preserve" y="23" style="stroke:none;"
>Frequency (Hz)</text
></g
><g transform="translate(1690,884)" style="font-size:20px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'mwb_cmsy10'; color-interpolation:linearRGB;"
><text x="0" xml:space="preserve" y="0" style="stroke:none;"
>#</text
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><g transform="translate(1706,884)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="0" xml:space="preserve" y="0" style="stroke:none;"
>10</text
></g
><g transform="translate(1729,874)" style="text-rendering:geometricPrecision; font-size:16px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="0" xml:space="preserve" y="0" style="stroke:none;"
>4</text
></g
><g style="text-rendering:geometricPrecision; color-interpolation:linearRGB; color-rendering:optimizeQuality; stroke-linejoin:round; image-rendering:optimizeQuality;"
><line y2="69" style="fill:none;" x1="250" x2="250" y1="815"
/><line y2="815" style="fill:none;" x1="255.952" x2="244.048" y1="815"
/><line y2="721.75" style="fill:none;" x1="255.952" x2="244.048" y1="721.75"
/><line y2="628.5" style="fill:none;" x1="255.952" x2="244.048" y1="628.5"
/><line y2="535.25" style="fill:none;" x1="255.952" x2="244.048" y1="535.25"
/><line y2="442" style="fill:none;" x1="255.952" x2="244.048" y1="442"
/><line y2="348.75" style="fill:none;" x1="255.952" x2="244.048" y1="348.75"
/><line y2="255.5" style="fill:none;" x1="255.952" x2="244.048" y1="255.5"
/><line y2="162.25" style="fill:none;" x1="255.952" x2="244.048" y1="162.25"
/><line y2="69" style="fill:none;" x1="255.952" x2="244.048" y1="69"
/></g
><g transform="translate(236.048,815)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-12" xml:space="preserve" y="8" style="stroke:none;"
>0</text
></g
><g transform="translate(236.048,721.75)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-28" xml:space="preserve" y="8" style="stroke:none;"
>0.1</text
></g
><g transform="translate(236.048,628.5)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-28" xml:space="preserve" y="8" style="stroke:none;"
>0.2</text
></g
><g transform="translate(236.048,535.25)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-28" xml:space="preserve" y="8" style="stroke:none;"
>0.3</text
></g
><g transform="translate(236.048,442)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-28" xml:space="preserve" y="8" style="stroke:none;"
>0.4</text
></g
><g transform="translate(236.048,348.75)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-28" xml:space="preserve" y="8" style="stroke:none;"
>0.5</text
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><g transform="translate(236.048,255.5)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
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>0.6</text
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><g transform="translate(236.048,162.25)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-28" xml:space="preserve" y="8" style="stroke:none;"
>0.7</text
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><g transform="translate(236.048,69)" style="text-rendering:geometricPrecision; font-size:20px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-28" xml:space="preserve" y="8" style="stroke:none;"
>0.8</text
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><g transform="translate(202.048,441.9996) rotate(-90)" style="text-rendering:geometricPrecision; font-size:22px; color-interpolation:linearRGB; color-rendering:optimizeQuality; image-rendering:optimizeQuality;"
><text x="-67" xml:space="preserve" y="-5" style="stroke:none;"
>Amplitude (V)</text
></g
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><text x="-121.5" xml:space="preserve" y="-5" style="stroke:none;"
>Spectrum analyzer plot</text
></g
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126
Low Pass Inverse Chebyshev/Multisim/multisim_csv_plot.m

@ -1,4 +1,5 @@
multisim = csvread('low_pass_inversed_chebyshev_bode_plot.csv', 1, 0);
%{
multisim = csvread('low_pass_inversed_chebyshev_bode_plotter.csv', 1, 0);
% Create figure
figure1 = figure('Name','Bode plot','Color',[1 1 1]);
@ -8,7 +9,6 @@ hold(axes1,'on');
% Create semilogx
semilogx(multisim(:, 1),20*log10(multisim(:, 2)),'Color',[1 0.501960813999176 0]);
xlabel('Frequency (Hz)');
ylabel('Gain (dB)');
ylim(axes1,[-90 10]);
@ -17,3 +17,125 @@ set(axes1,'Color',[0 0 0],'GridAlpha',0.5,'GridColor',[1 1 1],...
'GridLineStyle',':','MinorGridAlpha',0.5,'MinorGridColor',[1 1 1],'TickDir',...
'both','TickLength',[0.004 0.0025],'XColor',[0 0 0],'XGrid','on',...
'XMinorTick','on','XScale','log','YColor',[0 0 0],'YGrid','on');
%=======================================================================================
multisim = csvread('low_pass_inversed_chebyshev_oscilloscope.csv', 1, 0);
% Create figure
figure1 = figure('Name','Oscilloscope plot','Color',[1 1 1]);
axes1 = axes('Parent',figure1);
hold(axes1,'on');
plot(multisim(:, 1),multisim(:, 2),'Color',[1 0.501960813999176 0]);
xlabel('Time (s)');
ylabel('Voltage (V)');
ylim(axes1,[-1.5 1.5]);
xlim(axes1,[-1e-05 0.005]);
title('Oscilloscope plot')
set(axes1,'Color',[0 0 0],'GridAlpha',0.5,'GridColor',[1 1 1],...
'GridLineStyle',':','MinorGridAlpha',0.5,'MinorGridColor',[1 1 1],'TickDir',...
'both','TickLength',[0.004 0.0025],'XColor',[0 0 0],'XGrid','on',...
'XMinorTick','on','YColor',[0 0 0],'YGrid','on');
%=======================================================================================
% Create figure
figure1 = figure('Name','Oscilloscope plot','Color',[1 1 1]);
axes1 = axes('Parent',figure1);
hold(axes1,'on');
plot(multisim(:, 4),multisim(:, 5),'Color',[0 0.5 0]);
xlabel('Time (s)');
ylabel('Voltage (V)');
ylim(axes1,[-1.5 1.5]);
xlim(axes1,[-1e-05 0.005]);
title('Oscilloscope plot')
set(axes1,'Color',[0 0 0],'GridAlpha',0.5,'GridColor',[1 1 1],...
'GridLineStyle',':','MinorGridAlpha',0.5,'MinorGridColor',[1 1 1],'TickDir',...
'both','TickLength',[0.004 0.0025],'XColor',[0 0 0],'XGrid','on',...
'XMinorTick','on','YColor',[0 0 0],'YGrid','on');
%=======================================================================================
% Create figure
figure1 = figure('Name','Oscilloscope plot','Color',[1 1 1]);
axes1 = axes('Parent',figure1);
hold(axes1,'on');
plot(multisim(:, 1),multisim(:, 2),'Color',[1 0.501960813999176 0]);
plot(multisim(:, 4),multisim(:, 5),'Color',[0 0.5 0]);
xlabel('Time (s)');
ylabel('Voltage (V)');
ylim(axes1,[-1.5 1.5]);
xlim(axes1,[-1e-05 0.005]);
title('Oscilloscope plot')
set(axes1,'Color',[0 0 0],'GridAlpha',0.5,'GridColor',[1 1 1],...
'GridLineStyle',':','MinorGridAlpha',0.5,'MinorGridColor',[1 1 1],'TickDir',...
'both','TickLength',[0.004 0.0025],'XColor',[0 0 0],'XGrid','on',...
'XMinorTick','on','YColor',[0 0 0],'YGrid','on');
%}
%=======================================================================================
multisim = csvread('low_pass_inversed_chebyshev_spectrum_analyzer_input.csv', 1, 0);
% Create figure
figure1 = figure('Name','Spectrum analyzer plot','Color',[1 1 1]);
axes1 = axes('Parent',figure1);
hold(axes1,'on');
plot(multisim(:, 1),multisim(:, 2),'Color',[1 0.501960813999176 0]);
xlabel('Frequency (Hz)');
ylabel('Amplitude (V)');
ylim(axes1,[0 0.8]);
xlim(axes1,[0 20000]);
title('Spectrum analyzer plot')
set(axes1,'Color',[0 0 0],'GridAlpha',0.5,'GridColor',[1 1 1],...
'GridLineStyle',':','MinorGridAlpha',0.5,'MinorGridColor',[1 1 1],'TickDir',...
'both','TickLength',[0.004 0.0025],'XColor',[0 0 0],'XGrid','on',...
'XMinorTick','on','YColor',[0 0 0],'YGrid','on');
%=======================================================================================
multisim2 = csvread('low_pass_inversed_chebyshev_spectrum_analyzer_output.csv', 1, 0);
% Create figure
figure1 = figure('Name','Spectrum analyzer plot','Color',[1 1 1]);
axes1 = axes('Parent',figure1);
hold(axes1,'on');
plot(multisim2(:, 1),multisim2(:, 2),'Color',[0 0.5 0]);
xlabel('Frequency (Hz)');
ylabel('Amplitude (V)');
ylim(axes1,[0 0.8]);
xlim(axes1,[0 20000]);
title('Spectrum analyzer plot')
set(axes1,'Color',[0 0 0],'GridAlpha',0.5,'GridColor',[1 1 1],...
'GridLineStyle',':','MinorGridAlpha',0.5,'MinorGridColor',[1 1 1],'TickDir',...
'both','TickLength',[0.004 0.0025],'XColor',[0 0 0],'XGrid','on',...
'XMinorTick','on','YColor',[0 0 0],'YGrid','on');
%=======================================================================================
% Create figure
figure1 = figure('Name','Spectrum analyzer plot','Color',[1 1 1]);
axes1 = axes('Parent',figure1);
hold(axes1,'on');
plot(multisim(:, 1),multisim(:, 2),'Color',[1 0.501960813999176 0]);
plot(multisim2(:, 1),multisim2(:, 2),'Color',[0 0.5 0]);
xlabel('Frequency (Hz)');
ylabel('Amplitude (V)');
ylim(axes1,[0 0.8]);
xlim(axes1,[0 20000]);
title('Spectrum analyzer plot')
set(axes1,'Color',[0 0 0],'GridAlpha',0.5,'GridColor',[1 1 1],...
'GridLineStyle',':','MinorGridAlpha',0.5,'MinorGridColor',[1 1 1],'TickDir',...
'both','TickLength',[0.004 0.0025],'XColor',[0 0 0],'XGrid','on',...
'XMinorTick','on','YColor',[0 0 0],'YGrid','on');

266
Low Pass Inverse Chebyshev/low_pass_inversed_chebyshev_combined_input_output_sig.svg

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Low Pass Inverse Chebyshev/low_pass_inversed_chebyshev_input_spectrum.svg

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Low Pass Inverse Chebyshev/low_pass_inversed_chebyshev_output_spectrum.svg

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9
report/0_intro/0_intro.pug

@ -46,7 +46,7 @@ figure.block-center.width-15cm
tbody
tr
td πόλος
td Μπορεί να εννοείται ζεύγος συζηγών πόλων #[br/](έναντι ενός, μοναδικού πόλου)
td Μπορεί να εννοείται ζεύγος συζυγών πόλων #[br/](έναντι ενός, μοναδικού πόλου)
tr
td LP
td Low pass filter
@ -68,4 +68,9 @@ figure.block-center.width-15cm
figcaption
.reference #[span.table-count]
.caption.
Ειδικοί όροι που χρησιμοποιούνται
Ειδικοί όροι που χρησιμοποιούνται.
br/
br/
p.
#[strong Σημείωση:] Τα διάγραμμα των οργάνων του Multisim παράχθηκαν στο Matlab, ωστόσο οι τιμές εξάχθηκαν από το Multisim. Αυτό έγινε για παραγωγή καλύτερης ποιότητας διαγραμμάτων σε σχέση με άλλες μεθόδους όπως screenshot. Μετά την διεξαγωγή των πειραμάτων, χρησιμοποιήθηκε το view "Grapher" του Multisim, από το οποίο αποκτήθηκαν αρχεία comma separated values (.csv) για κάθε όργανο, τα οποία περιείχαν τις τιμές των αποτελεσμάτων. Έπειτα τα αρχεία χρησιμοποιήθηκαν στο Matlab για την παραγωγή όμορφων διαγραμμάτων σε μορφή scalable vector graphics (.svg) τα οποία παραμένουν αναλλοίωτα στη μεγέθυνση.

2
report/1_low_pass/1_low_pass.pug

@ -5,7 +5,7 @@ br/
// Chapter description/introduction
p.
Με βάση το ΑΕΜ (8261), υπολογίστηκαν οι προδιαγραφές του κατωδιαβατού φίλτρου προς σχεδίαση:
Με βάση τον αριθμό ΑΕΜ (8261), υπολογίστηκαν οι προδιαγραφές του κατωδιαβατού φίλτρου προς σχεδίαση:
figure.block-center.width-15cm
table.ui.celled.table.teal.striped.center.aligned

20
report/1_low_pass/1_low_pass_design.pug

@ -14,10 +14,11 @@ figure.block-center.width-15cm
div.item Κλιμακοποίηση του κυκλώματος με στόχο τη μεταφορά στις πραγματικές συχνότητες και σε στοιχεία με πρακτικές (υλοποιήσιμες) τιμές.
div.item Έλεγχος των κερδών των μονάδων και ρύθμιση κέρδους με επιβολή απόσβεσης ή ενίσχυσης.
div(style="page-break-before:always")
h4 Υπολογισμός συνάρτησης μεταφοράς
p.
Αρχικά σχεδιάζεται ένα πρότυπο κατωδιαβατό Chebyshev φίλτρο, το οποίο αργότερα να μετατραπεί στο επιθυμητό αντίστροφο Chebyshev.
Αρχικά σχεδιάζεται ένα πρότυπο κατωδιαβατό Chebyshev φίλτρο, το οποίο αργότερα θα μετατραπεί στο επιθυμητό αντίστροφο Chebyshev.
p Γίνεται κανονικοποίηση των συχνοτήτων ώστε να επιτευχθεί Ω#[sub s]=1 rad/s:
@ -49,6 +50,7 @@ p.
p.latex-equation.
$$\Omega_{hp} = \frac{1}{cosh(\frac{1}{n}cosh^{-1}(\frac{1}{\varepsilon}))} = \frac{1}{cosh(\frac{1}{4}cosh^{-1}(\frac{1}{0.065}))} = 0.7196\frac{rad}{s}$$
div(style="page-break-before:always")
p και στη συνέχεια μεταφέρεται στη πραγματική συχνότητα:
p.latex-equation.
@ -92,12 +94,13 @@ p.
p.latex-equation.
$$\omega_{0_k} = \frac{1}{\Omega_{0_k}}$$
div(style="page-break-before:always")
p.
Από τον μετασχηματισμό προκύπτουν οι πόλοι του #[strong αντίστροφου Chebyshev]:
p.latex-equation.
$$\text{Pole 1: } \Omega_0 = 0.963 \text{, }Q = 0.582$$
$$\text{Pole 2: } \Omega_0 = 0.748 \text{, }Q = 1.809$$
$$\text{Pole 1: } \omega_0 = 0.963 \text{, }Q = 0.582$$
$$\text{Pole 2: } \omega_0 = 0.748 \text{, }Q = 1.809$$
p.
Κατά τον μετασχηματισμό προκύπτουν επίσης, με βάση την εξίσωση #[span.course-notes-equation 9-143]:
@ -122,6 +125,7 @@ figure.block-center.width-19cm
.caption.
Πόλοι και μηδενικά του αντίστροφου Chebyshev
div(style="page-break-before:always")
p.
Οι πόλοι και τα μηδενικά ομαδοποιούνται όπως φαίνεται στο παρακάτω διάγραμμα:
@ -182,6 +186,7 @@ figure.block-center.width-15cm
.caption.
Προδιαγραφές πρώτης μονάδας low pass notch
div(style="page-break-before:always")
p.
Γίνεται κανονικοποίηση των συχνοτήτων ως προς το ω#[sub 0], ώστε Ω#[sub 0]=1:
@ -221,11 +226,12 @@ p.latex-equation.
p #[strong Κλιμακοποίηση]
p.
Γίνεται κλιμακωποίηση των στοιχείων της μονάδας για να μεταφερθούν οι συχνότητες στις πραγματικές τιμές. Επιλέγεται:
Γίνεται κλιμακoποίηση των στοιχείων της μονάδας για να μεταφερθούν οι συχνότητες στις πραγματικές τιμές. Επιλέγεται:
p.latex-equation.
$$k_{f} = \omega_s\omega_0 = 72570.79*0.963 = 69885.7$$
div(style="page-break-before:always")
p.
Με βάση τον αριθμό ΑΕΜ (8261) επιλέγεται κατάλληλος συντελεστής κλιμακοποίησης πλάτους ώστε να επιτευχθεί τιμή πυκνωτών ίση με 0.1μF, γίνεται χρήση του τύπου #[span.course-notes-equation 6-33]:
@ -350,7 +356,7 @@ p.latex-equation.
p #[strong Κλιμακοποίηση]
p.
Γίνεται κλιμακωποίηση των στοιχείων της μονάδας για να μεταφερθούν οι συχνότητες στις πραγματικές τιμές. Επιλέγεται:
Γίνεται κλιμακoποίηση των στοιχείων της μονάδας για να μεταφερθούν οι συχνότητες στις πραγματικές τιμές. Επιλέγεται:
p.latex-equation.
$$k_{f} = \omega_s\omega_0 = 72570.79*0.7484 = 54311.9$$
@ -417,7 +423,7 @@ p.
Με βάση τον αριθμό ΑΕΜ (8261) πραγματοποιείται ρύθμιση κέρδους με στόχο την επίτευξη κέρδους 0 dB στις χαμηλές συχνότητες.
p.
Κατά την υλοποίηση των μονάδων Fried διαπιστώθηκε ότι κάθε μονάδα εισάγει μία απόσβεση. Κάτι το οποίο ήταν αναμενόμενο με βάση τη θεωρεία των μονάδων αυτών. Το συνολικό κέρδος που εισάγουν οι μονάδες είναι:
Κατά την υλοποίηση των μονάδων Fried διαπιστώθηκε ότι κάθε μονάδα εισάγει ένα κέρδος. Κάτι το οποίο ήταν αναμενόμενο με βάση τη θεωρεία των μονάδων αυτών. Το συνολικό κέρδος που εισάγουν οι μονάδες είναι:
p.latex-equation.
$$k = k_{low}^1k_{low}^2 = 0.4411*4.2573 = 1.878$$
@ -477,4 +483,4 @@ figure.block-center.width-19cm
figcaption
.reference #[span.plot-count]
.caption.
Κύκλωμα κατωδιαβατού φίλτρου
Κύκλωμα κατωδιαβατού φίλτρου

37
report/1_low_pass/1_low_pass_transfer_function_matlab.pug

@ -1,12 +1,13 @@
h3 Μελέτη συνάρτησης μεταφοράς στο Matlab
p.
Η σχεδίαση του φίλτρου έγινε στο λογισμικό Matlab. Σχεδιάστηκαν, με χρήση της συνάρτησης plot_transfer_function που δόθηκε καθώς και της ltiview που παρέχει το λογισμικό, οι αποκρίσεις πλάτους σε dB των επιμέρους μονάδων, καθώς και του συνολικού φίλτρου. Επίσης η συνολική απόκριση του φίλτρου ελέγχθηκαν σε σήμα εισόδου που καθόρισε η εκφώνηση.
Η σχεδίαση του φίλτρου έγινε στο λογισμικό Matlab. Σχεδιάστηκαν, με χρήση της συνάρτησης plot_transfer_function που δόθηκε καθώς και της ltiview που παρέχει το λογισμικό, οι αποκρίσεις πλάτους σε dB των επιμέρους μονάδων, καθώς και του συνολικού φίλτρου.
div(style="page-break-before:always")
p.
Παρακάτω φαίνονται οι αποκρίσεις όπως προέκυψαν στο Matlab από την plot_transfer_function, με ορίσματα κάθε φορά την συνάρτηση μεταφοράς των επί μέρους συστημάτων, καθώς και τυχόν κρίσιμες συχνότητες:
Παρακάτω φαίνονται οι αποκρίσεις όπως προέκυψαν στο Matlab από την plot_transfer_function, με ορίσματα κάθε φορά την συνάρτηση μεταφοράς του επί μέρους συστήματος, καθώς και τυχόν κρίσιμες συχνότητες:
figure.block-center.width-19cm
img(src="1_low_pass/assets/diagrams/matlab_low_pass_inverse_chebyshev_notch_unit_1_transfer_function.svg").width-19cm
figure.block-center.width-15cm
img(src="1_low_pass/assets/diagrams/matlab_low_pass_inverse_chebyshev_notch_unit_1_transfer_function.svg").width-15cm
figcaption
.reference #[span.plot-count]
.caption.title.
@ -14,8 +15,8 @@ figure.block-center.width-19cm
.caption.
Παρατηρούμε ότι η μονάδα, ορθώς, έχει χαμηλότερη απόκριση στις υψηλές συχνότητες σε σχέση με τις χαμηλές. Στο γράφημα φαίνεται επίσης η απόκριση της συνάρτησης μεταφοράς στις χαμηλές συχνότητες, από όπου μπορούμε να επιβεβαιώσουμε ότι το κέρδος -7,1 dB που υπολογίστηκε νωρίτερα για την μονάδα είναι σωστό.
figure.block-center.width-19cm
img(src="1_low_pass/assets/diagrams/matlab_low_pass_inverse_chebyshev_notch_unit_2_transfer_function.svg").width-19cm
figure.block-center.width-15cm
img(src="1_low_pass/assets/diagrams/matlab_low_pass_inverse_chebyshev_notch_unit_2_transfer_function.svg").width-15cm
figcaption
.reference #[span.plot-count]
.caption.title.
@ -23,8 +24,8 @@ figure.block-center.width-19cm
.caption.
Παρατηρούμε ότι η μονάδα, ορθώς, έχει χαμηλότερη απόκριση στις υψηλές συχνότητες σε σχέση με τις χαμηλές. Στο γράφημα φαίνεται επίσης η απόκριση της συνάρτησης μεταφοράς στις χαμηλές συχνότητες, από όπου μπορούμε να επιβεβαιώσουμε ότι το κέρδος 12,6 dB που υπολογίστηκε νωρίτερα για την μονάδα είναι σωστό.
figure.block-center.width-19cm
img(src="1_low_pass/assets/diagrams/matlab_low_pass_inverse_chebyshev_total_transfer_function.svg").width-19cm
figure.block-center.width-15cm
img(src="1_low_pass/assets/diagrams/matlab_low_pass_inverse_chebyshev_total_transfer_function.svg").width-15cm
figcaption
.reference #[span.plot-count]
.caption.title.
@ -32,15 +33,15 @@ figure.block-center.width-19cm
.caption.
Παρατηρούμε ότι η συνάρτηση μεταφοράς του φίλτρου έχει το αναμενόμενο σχήμα ενός κατωδιαβατού αντίστροφου Chebyshev φίλτρου. Πιο συγκεκριμένα, στις χαμηλές συχνότητες η συνάρτηση μεταφοράς είναι επίπεδη, ενώ στην αποκοπή εμφανίζει ταλάντωση (ripples). Μάλιστα ο αριθμός των ripples (δύο) είναι σωστός με βάση τη τάξη του φίλτρου (τέταρτης τάξης) και τη θεωρία του αντίστροφου Chebyshev. Στο γράφημα φαίνεται επίσης η απόκριση της συνάρτησης μεταφοράς στις κρίσιμες συχνότητες: (τυχαία) χαμηλή συχνότητα=10 Hz, f#[sub p]=5500 Hz, f#[sub hp]=8313.16 Hz και f#[sub s]=11550 Hz.
figure.block-center.width-19cm
img(src="1_low_pass/assets/diagrams/matlab_combined_transfer_functions_bode.svg").width-19cm
figure.block-center.width-15cm
img(src="1_low_pass/assets/diagrams/matlab_combined_transfer_functions_bode.svg").width-15cm
figcaption
.reference #[span.plot-count]
.caption.title.
Συνδυαστηκό γράφημα συναρτήσεων μεταφοράς επιμέρους μονάδων και συνολικού φίλτρου.
Συνδυαστικό γράφημα συναρτήσεων μεταφοράς επιμέρους μονάδων και συνολικού φίλτρου.
figure.block-center.width-19cm
img(src="1_low_pass/assets/diagrams/matlab_low_pass_inverse_chebyshev_total_attenuation.svg").width-19cm
figure.block-center.width-15cm
img(src="1_low_pass/assets/diagrams/matlab_low_pass_inverse_chebyshev_total_attenuation.svg").width-15cm
figcaption
.reference #[span.plot-count]
.caption.title.
@ -49,16 +50,16 @@ figure.block-center.width-19cm
Στο γράφημα φαίνεται η απόσβεση του φίλτρου για τις κρίσιμες συχνότητες: (τυχαία) χαμηλή συχνότητα=10 Hz, f#[sub p]=5500 Hz, f#[sub hp]=8313.16 Hz και f#[sub s]=11550 Hz.
p.
Στα γραφήματα 2.2.3 και 2.2.5 έχουν σημειωθεί οι κρίσιμες συχνότητες οι οποίες καθορίζουν την ζώνη διόδου και αποκοπής, δηλαδή η f#[sub p]=5500 Hz και η f#[sub s]=11550 Hz, καθώς και οι αντίστοιχες αποσβέσεις. Παρατηρούμε ότι η απόκριση του φίλτρου στην ζώνη διόδου είναι 0.07 dB, ενώ στη ζώνη αποκοπής είναι 23.75 dB. Επομένως είναι φανερό ότι πληρείται ακριβώς η προδιαγραφή a#[sub min]=23.75 dB ενώ η προδιαγραφή a#[sub max]=0.35 dB υπερκαλύπτεται.
Στα γραφήματα 2.2.3 και 2.2.5 έχουν σημειωθεί οι κρίσιμες συχνότητες οι οποίες καθορίζουν την ζώνη διόδου και αποκοπής, δηλαδή η f#[sub p]=5500 Hz και η f#[sub s]=11550 Hz, καθώς και οι αντίστοιχες αποσβέσεις. Παρατηρούμε ότι η απόκριση του φίλτρου στην ζώνη διόδου είναι 0.07 dB, ενώ στη ζώνη αποκοπής είναι 23.75 dB. Επομένως είναι φανερό ότι πληρείτε ακριβώς η προδιαγραφή a#[sub min]=23.75 dB ενώ η προδιαγραφή a#[sub max]=0.35 dB υπερκαλύπτεται.
p.
Πριν τη ρύθμιση κέρδους η συνάρτηση απόσβεσης δίνεται από το παρακάτω διάγραμμα:
Η συνάρτηση απόσβεσης, πριν τη ρύθμιση κέρδους, δίνεται από το παρακάτω διάγραμμα:
figure.block-center.width-19cm
img(src="1_low_pass/assets/diagrams/matlab_low_pass_inverse_chebyshev_original_gain_attenuation.svg").width-19cm
figure.block-center.width-15cm
img(src="1_low_pass/assets/diagrams/matlab_low_pass_inverse_chebyshev_original_gain_attenuation.svg").width-15cm
figcaption
.reference #[span.plot-count]
.caption.title.
Απόσβεση φίλτρου πριν τη ρύθμιση κέρδους.
.caption.
Στο γράφημα σημειώνονται οι ίδιες κρίσιμες συχνότητες: (τυχαία) χαμηλή συχνότητα=10 Hz, f#[sub p]=5500 Hz, f#[sub hp]=8313.16 Hz και f#[sub s]=11550 Hz.
Στο γράφημα σημειώνονται οι ίδιες κρίσιμες συχνότητες: (τυχαία) χαμηλή συχνότητα=10 Hz, f#[sub p]=5500 Hz, f#[sub hp]=8313.16 Hz και f#[sub s]=11550 Hz.

172
report/1_low_pass/1_low_pass_transfer_function_multisim.pug

@ -1,7 +1,7 @@
h3 Υλοποίηση κυκλώματος στο Multisim
p.
Το κύκλωμα του φίλτρου που σχεδιάστηκε προηγουμένως, εισάγεται στο λογισμικό Multisim όπου θα ελεγχθεί η ορθότητα της σχεδίασης του μέσω διάφορων πειραμάτων και θα εξαχθούν χρήσιμα συμπεράσματα για τη λειτουργία του φίλτρου.
Το κύκλωμα, μαζί με τα διάφορα εργαλεία που χρησιμοποιούνται για τον έλεγχό του φαίνεται στο επόμενο σχηματικό:
Το κύκλωμα, μαζί με τα διάφορα εργαλεία που χρησιμοποιούνται για τον έλεγχό του, φαίνεται στο επόμενο σχηματικό:
figure.block-center.width-19cm
img(src="1_low_pass/assets/diagrams/multisim_low_pass_inverse_chebyshev_layout.svg").width-19cm
@ -13,10 +13,10 @@ figure.block-center.width-19cm
Εκτός από το κύκλωμα του φίλτρου, το σχηματικό περιλαμβάνει ένα bode plotter (XBP1), δύο spectrum analyzers (XSA1 και XSA2) και ένα oscilloscope (XSC1) για την καταγραφή των εισόδων και εξόδων του φίλτρου. Επίσης έχουν τοποθετηθεί μία πηγή στοιχειώδους περιοδικού σήματος (V1), μία πηγή τετραγωνικών παλμών (V2) και ένας διακόπτης (S1) για την επιλογή του σήματος εισόδου.
p.
Ο διακόπτης S1 τοποθετείται στην αριστερή επαφή ώστε να επιλεγχθεί ως σήμα εισόδου του φίλτρου το στοιχειώδες ημιτονοειδές σήμα της πηγής V1 με χαρακτηριστικά Vpp=1 V, f=1 kHz. Χρησιμοποιώντας το εργαλείο bode plotter, εξάγεται η απόκριση συχνότητας του κυκλώματος. Το διάγραμμα και οι επιλεγμένες τιμές του εργαλείου φαίνονται παρακάτω:
Ο διακόπτης S1 τοποθετείται στην αριστερή επαφή ώστε να επιλεχθεί ως σήμα εισόδου του φίλτρου το στοιχειώδες ημιτονοειδές σήμα της πηγής V1 με χαρακτηριστικά Vpp=1 V, f=1 kHz. Χρησιμοποιώντας το εργαλείο bode plotter (XBP1), εξάγεται η απόκριση συχνότητας του κυκλώματος. Το διάγραμμα και οι επιλεγμένες τιμές του εργαλείου φαίνονται παρακάτω:
figure.block-center.width-19cm
img(src="1_low_pass/assets/diagrams/multisim_low_pass_inversed_chebyshev_bode_plotter.svg").width-19cm
figure.block-center.width-15cm
img(src="1_low_pass/assets/diagrams/multisim_low_pass_inversed_chebyshev_bode_plotter.svg").width-15cm
figcaption
.reference #[span.plot-count]
.caption.title.
@ -28,5 +28,169 @@ figure.block-center.width-19cm
#[br/]#[strong Vertical:] Log με #[strong F:] 0 dB και #[strong I:] -200 dB
#[br/]#[strong Set...] με #[strong Resolution points:] 1000
p.
Το παρακάτω διάγραμμα είναι ίδιο με το προηγούμενο, σημειώνονται όμως οι αποκρίσεις στις κρίσιμες συχνότητες:
figure.block-center.width-15cm
img(src="1_low_pass/assets/diagrams/multisim_low_pass_inversed_chebyshev_bode_plotter_with_values.svg").width-15cm
figcaption
.reference #[span.plot-count]
.caption.title.
Έξοδος bode plotter-XBP1 κατωδιαβατού αντίστροφου Chebyshev φίλτρου από το Multisim με σημειωμένες τις αποκρίσεις στις κρίσιμες συχνότητες.
.caption.
Οι επιλογές του bode plotter που χρησιμοποιήθηκαν:
#[br/]#[strong Mode:] Magnitude
#[br/]#[strong Horizontal:] Log με #[strong F:] 1 MHz και #[strong I:] 10 Hz
#[br/]#[strong Vertical:] Log με #[strong F:] 0 dB και #[strong I:] -200 dB
#[br/]#[strong Set...] με #[strong Resolution points:] 1000
#[br/]Οι συχνότητες που σημειώνονται είναι f#[sub p]=5500 Hz, f#[sub hp]=8313.16 Hz και f#[sub s]=11550 Hz.
p.
Από το διάγραμμα 2.3.3 γίνεται φανερό ότι η ανάλυση του κυκλώματος στο Multisim συμφωνεί με τη θεωρητική ανάλυση που προηγήθηκε κάθως και την ανάλυση που έγινε χρησιμοποιώντας το Matlab. Παρατηρούνται ωστόσο μικρές αποκλίσεις, της τάξης 10#[sup -3], οι οποίες αποδίδονται στο γεγονός ότι οι τιμές των στοιχείων που χρησιμοποιήθηκαν στο Multisim έχουν μικρότερη ακρίβεια από ότι οι αντίστοιχες τιμές στην ανάλυση στο Matlab.
p.
Ο διακόπτης S1 τοποθετείται τώρα στην δεξιά επαφή ώστε να επιλεχθεί ως σήμα εισόδου του φίλτρου ο τετραγωνικός παλμός της πηγής V2 με χαρακτηριστικά V#[sub 0]=0 V, Vp=1 V, f=2 kHz, duty cycle ίσο με 40%. Χρησιμοποιώντας το εργαλείο oscilloscope (XSC1), εξάγεται η κυματομορφή του σήματος εισόδου. Το διάγραμμα και οι επιλεγμένες τιμές του εργαλείου φαίνονται παρακάτω:
figure.block-center.width-17cm
img(src="1_low_pass/assets/diagrams/multisim_low_pass_inversed_chebyshev_oscilloscope_input_sig.svg").width-17cm
figcaption
.reference #[span.plot-count]
.caption.title.
Έξοδος oscilloscope-XSC1 (μόνο channel A) κατωδιαβατού αντίστροφου Chebyshev φίλτρου από το Multisim.
.caption.
Οι επιλογές του oscilloscope που χρησιμοποιήθηκαν:
#[br/]#[strong Timebase:] #[strong Scale:] 500 us/Div, #[strong X pos.:] 0 και #[strong mode:] Y/T
#[br/]#[strong Channel:] #[strong Scale:] 500 mV/Div, #[strong Y pos.:] 0 και #[strong mode:] DC
p.
Χρησιμοποιώντας το ίδιο εργαλείο (XSC1), εξάγεται η κυματομορφή της εξόδου. Το διάγραμμα και οι επιλεγμένες τιμές του εργαλείου φαίνονται παρακάτω:
figure.block-center.width-17cm
img(src="1_low_pass/assets/diagrams/multisim_low_pass_inversed_chebyshev_oscilloscope_output_sig.svg").width-17cm
figcaption
.reference #[span.plot-count]
.caption.title.
Έξοδος oscilloscope-XSC1 (μόνο channel B) κατωδιαβατού αντίστροφου Chebyshev φίλτρου από το Multisim.
.caption.
Οι επιλογές του oscilloscope που χρησιμοποιήθηκαν:
#[br/]#[strong Timebase:] #[strong Scale:] 500 us/Div, #[strong X pos.:] 0 και #[strong mode:] Y/T
#[br/]#[strong Channel:] #[strong Scale:] 500 mV/Div, #[strong Y pos.:] 0 και #[strong mode:] DC & -
p.
Χρησιμοποιώντας και τα δύο κανάλια του εργαλείου (XSC1), εξάγεται η κυματομορφή της εισόδου και της εξόδου στο ίδιο διάγραμμα. Το διάγραμμα και οι επιλεγμένες τιμές του εργαλείου φαίνονται παρακάτω:
figure.block-center.width-17cm
img(src="1_low_pass/assets/diagrams/multisim_low_pass_inversed_chebyshev_oscilloscope_combined_input_output_sig.svg").width-17cm
figcaption
.reference #[span.plot-count]
.caption.title.
Έξοδος oscilloscope-XSC1 κατωδιαβατού αντίστροφου Chebyshev φίλτρου από το Multisim.
.caption.
Οι επιλογές του oscilloscope που χρησιμοποιήθηκαν:
#[br/]#[strong Timebase:] #[strong Scale:] 500 us/Div, #[strong X pos.:] 0 και #[strong mode:] Y/T
#[br/]#[strong Channel A:] (input signal) #[strong Scale:] 500 mV/Div, #[strong Y pos.:] 0 και #[strong mode:] DC
#[br/]#[strong Channel B:] (output signal) #[strong Scale:] 500 mV/Div, #[strong Y pos.:] 0 και #[strong mode:] DC & -
p.
Στα παραπάνω διαγράμματα μπορούμε να δούμε αναλυτικά τα σήματα εισόδου και εξόδου στο χρόνο. Στις περιγραφές των διαγραμμάτων φαίνονται οι επιλογές που έγιναν στον παλμογράφο για να προκύψουν οι αντίστοιχες παραστάσεις.
p.
Η συνολική απόκριση του φίλτρου στο σήμα εισόδου (τετραγωνικός παλμός) που καθόρισε η εκφώνηση, ελέγχθηκε στο λογισμικό Matlab. Η είσοδος και η έξοδος του φίλτρου στο χρόνο, όπως προέκυψαν στο Matlab, φαίνονται στο παρακάτω διάγραμμα:
figure.block-center.width-17cm
img(src="1_low_pass/assets/diagrams/matlab_low_pass_inversed_chebyshev_combined_input_output_sig.svg").width-17cm
figcaption
.reference #[span.plot-count]
.caption.title.
Σήματα εισόδου και εξόδου στο χρόνο, διάγραμμα από Matlab.
.caption.
Παρατηρείται ότι τα σήματα συμφωνούν με αυτά του Multisim.
p.
Χρησιμοποιήθηκαν οι εντολές fft και lsim που παρέχονται από το λογισμικό για να εξαχθεί η απόκριση και στη συνέχεια το φάσμα της απόκρισης τόσο για την είσοδο όπως και για την έξοδο. Το φάσμα του σήματος εισόδου φαίνεται στο παρακάτω διάγραμμα:
figure.block-center.width-17cm
img(src="1_low_pass/assets/diagrams/matlab_low_pass_inversed_chebyshev_input_spectrum.svg").width-17cm
figcaption
.reference #[span.plot-count]
.caption.title.
Φάσμα σήματος εισόδου, διάγραμμα από Matlab.
p.
Στο επόμενο διάγραμμα φαίνεται και πάλι το φάσμα του σήματος εισόδου με μεγέθυνση στη περιοχή ενδιαφέροντος:
figure.block-center.width-17cm
img(src="1_low_pass/assets/diagrams/matlab_low_pass_inversed_chebyshev_input_spectrum_zoom.svg").width-17cm
figcaption
.reference #[span.plot-count]
.caption.title.
Φάσμα σήματος εισόδου, διάγραμμα από Matlab.
div(style="page-break-before:always")
p.
Το φάσμα του σήματος εξόδου φαίνεται στο παρακάτω διάγραμμα:
figure.block-center.width-17cm
img(src="1_low_pass/assets/diagrams/matlab_low_pass_inversed_chebyshev_output_spectrum.svg").width-17cm
figcaption
.reference #[span.plot-count]
.caption.title.
Φάσμα σήματος εξόδου, διάγραμμα από Matlab.
p.
Στο επόμενο διάγραμμα φαίνεται και πάλι το φάσμα του σήματος εξόδου με μεγέθυνση στη περιοχή ενδιαφέροντος:
figure.block-center.width-17cm
img(src="1_low_pass/assets/diagrams/matlab_low_pass_inversed_chebyshev_output_spectrum_zoom.svg").width-17cm
figcaption
.reference #[span.plot-count]
.caption.title.
Φάσμα σήματος εξόδου, διάγραμμα από Matlab.
p.
Η ίδια απόκριση ελέγχθηκε και στο Multisim. Διατηρώντας τον διακόπτη S1 στη δεξιά επαφή, χρησιμοποιείται το εργαλείο spectrum analyzer (XSA1) για να εξαχθεί το φάσμα εισόδου. Το διάγραμμα και οι επιλεγμένες τιμές του εργαλείου φαίνονται παρακάτω:
figure.block-center.width-17cm
img(src="1_low_pass/assets/diagrams/multisim_low_pass_inversed_chebyshev_spectrum_analyzer_input.svg").width-17cm
figcaption
.reference #[span.plot-count]
.caption.title.
Φάσμα σήματος εισόδου, έξοδος spectrum analyzer-XSA1 από Multisim.
.caption.
Οι επιλογές του spectrum analyzer που χρησιμοποιήθηκαν:
#[br/]#[strong Frequency:] #[strong Span:] 20 kHz, #[strong Start:] 0 Hz, #[strong Center:] 10 kHz και #[strong End:] 20 kHz
#[br/]#[strong Amplitude:] #[strong lin] και #[strong Range:] 0.1 V/Div
#[br/]#[strong Resolution freq.:] 100 Hz
p.
Με τον ίδιο τρόπο, χρησιμοποιείται το εργαλείο spectrum analyzer (XSA2) για να εξαχθεί το φάσμα εξόδου. Το διάγραμμα και οι επιλεγμένες τιμές του εργαλείου φαίνονται παρακάτω:
figure.block-center.width-17cm
img(src="1_low_pass/assets/diagrams/multisim_low_pass_inversed_chebyshev_spectrum_analyzer_output.svg").width-17cm
figcaption
.reference #[span.plot-count]
.caption.title.
Φάσμα σήματος εξόδου, έξοδος spectrum analyzer-XSA2 από Multisim.
.caption.
Οι επιλογές του spectrum analyzer που χρησιμοποιήθηκαν:
#[br/]#[strong Frequency:] #[strong Span:] 20 kHz, #[strong Start:] 0 Hz, #[strong Center:] 10 kHz και #[strong End:] 20 kHz
#[br/]#[strong Amplitude:] #[strong lin] και #[strong Range:] 0.1 V/Div
#[br/]#[strong Resolution freq.:] 100 Hz
div(style="page-break-before:always")
p.
Τα δύο παραπάνω διαγράμματα συνδυάστηκαν σε ένα για ευκολότερη εξαγωγή συμπερασμάτων:
figure.block-center.width-17cm
img(src="1_low_pass/assets/diagrams/multisim_low_pass_inversed_chebyshev_spectrum_analyzer_combined_input_output.svg").width-17cm
figcaption
.reference #[span.plot-count]
.caption.title.
Φάσματα σημάτων εισόδου και εξόδου, εξόδου spectrum analyzers-XSA1 και XSA2 από Multisim.
p.
Από τα παραπάνω διαγράμματα συμπεραίνουμε καταρχάς ότι η ανάλυση του φίλτρου που έγινε στο Matlab συμφωνεί με αυτή που έγινε στο Multisim. Το συμπέρασμα αυτό προέρχεται από το γεγονός ότι τα φάσματα εισόδου και εξόδου του σήματος εισόδου και εξόδου του φίλτρου είναι ίδια στα δύο πειράματα.
p.
Επίσης από τα φάσματα και κυρίως από το τελευταίο διάγραμμα (2.3.14) γίνεται εύκολα αντιληπτό ότι το κύκλωμα που σχεδιάστηκε υλοποιεί επιτυχώς το επιθυμητό κατωδιαβατό φίλτρο.
p.
Πιο συγκεκριμένα παρατηρείται ότι το φάσμα εξόδου είναι ίδιο με το φάσμα εισόδου στις χαμηλές συχνότητες, δηλαδή στη ζώνη διόδου μέχρι τα 5500 Hz. Ταυτόχρονα, οι συχνότητες της ζώνης αποκοπής, πάνω από 11550 Hz, υπέστησαν τόσο σημαντική απόσβεση, ώστε σχεδόν να μη φαίνονται στο φάσμα εξόδου, δείχνοντας ότι οι υψηλές συχνότητες κόβονται από το κύκλωμα. Τέλος σημειώνεται ότι η συχνότητα των 8000 Hz, η οποία βρίσκεται μέσα στη ζώνη μετάβασης του φίλτρου, έχει επίσης υποστεί κάποια απόσβεση, είναι όμως εμφανής και στο φάσμα εξόδου.

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<text transform="matrix(1 0 0 1 522 -33)" class="st4 st5 st6">5</text>
</g>
<g transform="translate(176,422.4997) rotate(-90)">
<text transform="matrix(1 0 0 1 -9.5003 529)" class="st4 st5 st8">Trivial unit</text>
</g>
<g transform="translate(218,61)">
<text transform="matrix(1 0 0 1 534 -41)" class="st4 st5 st6">#</text>
</g>
<g transform="translate(234,61)">
<text transform="matrix(1 0 0 1 534 -41)" class="st4 st5 st6">10</text>
</g>
<g transform="translate(257,51)">
<text transform="matrix(1 0 0 1 534 -41)" class="st4 st5 st7">5</text>
</g>
<g transform="translate(869.0009,63.25)">
<text transform="matrix(1 0 0 1 410.5 -46)" class="st9 st8">Output signal spectrum</text>
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<g transform="translate(696.4,828.952)">
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<g transform="translate(845.2,828.952)">
<text transform="matrix(1 0 0 1 640 -41)" class="st2 st3">0.8</text>
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<g transform="translate(1142.8,828.952)">
<text transform="matrix(1 0 0 1 640 -41)" class="st2 st3">1.2</text>
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<g transform="translate(1291.6,828.952)">
<text transform="matrix(1 0 0 1 640 -41)" class="st2 st3">1.4</text>
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<g transform="translate(1440.4,828.952)">
<text transform="matrix(1 0 0 1 640 -41)" class="st2 st3">1.6</text>
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<g transform="translate(1589.2,828.952)">
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<line class="st1" x1="910" y1="566.5" x2="898" y2="566.5"/>
<line class="st1" x1="910" y1="473.3" x2="898" y2="473.3"/>
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<g transform="translate(236.048,535.25)">
<text transform="matrix(1 0 0 1 626 -54)" class="st2 st3">0.3</text>
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<text transform="matrix(1 0 0 1 626 -54)" class="st2 st3">0.4</text>
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<g transform="translate(236.048,348.75)">
<text transform="matrix(1 0 0 1 626 -54)" class="st2 st3">0.5</text>
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<text transform="matrix(1 0 0 1 626 -54)" class="st2 st3">0.7</text>
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<g transform="translate(236.048,69)">
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report/diagrams/diagram.mermaid

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graph LR
mermaid --> svg
vega-lite --> svg
svg --> html
pug --> html
html -->|Chrome| pdf

7
report/diagrams/diagram.svg

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1
report/diagrams/plot.svg

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