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Add and fix svg graphs

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Apostolos Fanakis 6 years ago
parent
commit
f64bc5e684
  1. 4
      report/2_band_pass/2_band_pass.pug
  2. 566
      report/2_band_pass/assets/diagrams/matlab_band_pass_chebyshev_combined_input_output_sig.svg
  3. 937
      report/2_band_pass/assets/diagrams/matlab_band_pass_chebyshev_input_spectrum.svg
  4. 940
      report/2_band_pass/assets/diagrams/matlab_band_pass_chebyshev_output_spectrum.svg
  5. 4
      report/3_band_elimination/3_band_elimination.pug
  6. 24
      report/3_band_elimination/3_band_elimination_transfer_function_multisim.pug
  7. 334
      report/3_band_elimination/assets/diagrams/matlab_band_elimination_chebyshev_combined_input_output_sig.svg
  8. 931
      report/3_band_elimination/assets/diagrams/matlab_band_elimination_chebyshev_input_spectrum.svg
  9. 926
      report/3_band_elimination/assets/diagrams/matlab_band_elimination_chebyshev_output_spectrum.svg
  10. 631
      report/3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_bode_plotter.svg
  11. 804
      report/3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_bode_plotter_with_values.svg
  12. 4427
      report/3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_oscilloscope_combined_input_output_sig.svg
  13. 2328
      report/3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_oscilloscope_input_sig.svg
  14. 2328
      report/3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_oscilloscope_output_sig.svg
  15. 266
      report/3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_spectrum_analyzer_combined_input_output.svg
  16. 222
      report/3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_spectrum_analyzer_input.svg
  17. 222
      report/3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_spectrum_analyzer_output.svg
  18. 4
      report/4_high_pass/4_high_pass.pug
  19. 180
      report/4_high_pass/4_high_pass_transfer_function_multisim.pug
  20. 310
      report/4_high_pass/assets/diagrams/matlab_high_pass_butterworth_combined_input_output_sig.svg
  21. 900
      report/4_high_pass/assets/diagrams/matlab_high_pass_butterworth_input_spectrum.svg
  22. 936
      report/4_high_pass/assets/diagrams/matlab_high_pass_butterworth_output_spectrum.svg
  23. 308
      report/4_high_pass/assets/diagrams/multisim_high_pass_butterworth_bode_plotter.svg
  24. 385
      report/4_high_pass/assets/diagrams/multisim_high_pass_butterworth_bode_plotter_with_values.svg
  25. 4449
      report/4_high_pass/assets/diagrams/multisim_high_pass_butterworth_oscilloscope_combined_input_output_sig.svg
  26. 2332
      report/4_high_pass/assets/diagrams/multisim_high_pass_butterworth_oscilloscope_input_sig.svg
  27. 2336
      report/4_high_pass/assets/diagrams/multisim_high_pass_butterworth_oscilloscope_output_sig.svg
  28. 332
      report/4_high_pass/assets/diagrams/multisim_high_pass_butterworth_spectrum_analyzer_combined_input_output.svg
  29. 288
      report/4_high_pass/assets/diagrams/multisim_high_pass_butterworth_spectrum_analyzer_input.svg
  30. 288
      report/4_high_pass/assets/diagrams/multisim_high_pass_butterworth_spectrum_analyzer_output.svg
  31. 4
      report/report.pug

4
report/2_band_pass/2_band_pass.pug

@ -71,6 +71,6 @@ figure.block-center.width-15cm
Στο γράφημα φαίνονται οι συχνότητες που ορίζουν τη ζώνη διόδου (f#[sub 1]/ω#[sub 1] και f#[sub 2]/ω#[sub 2]) και τη ζώνη αποκοπής (f#[sub 3]/ω#[sub 3] και f#[sub 4]/ω#[sub 4]), καθώς και οι προδιαγραφές α#[sub min] και α#[sub max]. Στο γράφημα φαίνονται οι συχνότητες που ορίζουν τη ζώνη διόδου (f#[sub 1]/ω#[sub 1] και f#[sub 2]/ω#[sub 2]) και τη ζώνη αποκοπής (f#[sub 3]/ω#[sub 3] και f#[sub 4]/ω#[sub 4]), καθώς και οι προδιαγραφές α#[sub min] και α#[sub max].
// Sub-Chapters // Sub-Chapters
include 2_band_pass_design //- include 2_band_pass_design
include 2_band_pass_transfer_function_matlab //- include 2_band_pass_transfer_function_matlab
include 2_band_pass_transfer_function_multisim include 2_band_pass_transfer_function_multisim

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4
report/3_band_elimination/3_band_elimination.pug

@ -71,6 +71,6 @@ figure.block-center.width-15cm
Στο γράφημα φαίνονται οι συχνότητες που ορίζουν τη ζώνη αποκοπής (f#[sub 3]/ω#[sub 3] και f#[sub 4]/ω#[sub 4]) και τη ζώνη διόδου (f#[sub 1]/ω#[sub 1] και f#[sub 2]/ω#[sub 2]), καθώς και οι προδιαγραφές α#[sub min] και α#[sub max]. Στο γράφημα φαίνονται οι συχνότητες που ορίζουν τη ζώνη αποκοπής (f#[sub 3]/ω#[sub 3] και f#[sub 4]/ω#[sub 4]) και τη ζώνη διόδου (f#[sub 1]/ω#[sub 1] και f#[sub 2]/ω#[sub 2]), καθώς και οι προδιαγραφές α#[sub min] και α#[sub max].
// Sub-Chapters // Sub-Chapters
//- include 3_band_elimination_design include 3_band_elimination_design
//- include 3_band_elimination_transfer_function_matlab include 3_band_elimination_transfer_function_matlab
include 3_band_elimination_transfer_function_multisim include 3_band_elimination_transfer_function_multisim

24
report/3_band_elimination/3_band_elimination_transfer_function_multisim.pug

@ -4,7 +4,7 @@ p.
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 figure.block-center.width-19cm
img(src="2_band_pass/assets/diagrams/multisim_band_pass_chebyshev_circuit_layout.svg").width-19cm img(src="3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_circuit_layout.svg").width-19cm
figcaption figcaption
.reference #[span.plot-count] .reference #[span.plot-count]
.caption.title. .caption.title.
@ -16,7 +16,7 @@ p.
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: 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-15cm figure.block-center.width-15cm
img(src="2_band_pass/assets/diagrams/multisim_band_pass_chebyshev_bode_plotter.svg").width-15cm img(src="3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_bode_plotter.svg").width-15cm
figcaption figcaption
.reference #[span.plot-count] .reference #[span.plot-count]
.caption.title. .caption.title.
@ -32,7 +32,7 @@ p.
Το παρακάτω διάγραμμα είναι ίδιο με το προηγούμενο, σημειώνονται όμως οι αποκρίσεις στις κρίσιμες συχνότητες: Το παρακάτω διάγραμμα είναι ίδιο με το προηγούμενο, σημειώνονται όμως οι αποκρίσεις στις κρίσιμες συχνότητες:
figure.block-center.width-15cm figure.block-center.width-15cm
img(src="2_band_pass/assets/diagrams/multisim_band_pass_chebyshev_bode_plotter_with_values.svg").width-15cm img(src="3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_bode_plotter_with_values.svg").width-15cm
figcaption figcaption
.reference #[span.plot-count] .reference #[span.plot-count]
.caption.title. .caption.title.
@ -58,7 +58,7 @@ p.
Χρησιμοποιώντας το εργαλείο oscilloscope (XSC1), εξάγεται η κυματομορφή του σήματος εισόδου. Το διάγραμμα και οι επιλεγμένες τιμές του εργαλείου φαίνονται παρακάτω: 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 figure.block-center.width-17cm
img(src="2_band_pass/assets/diagrams/multisim_band_pass_chebyshev_oscilloscope_input_sig.svg").width-17cm img(src="3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_oscilloscope_input_sig.svg").width-17cm
figcaption figcaption
.reference #[span.plot-count] .reference #[span.plot-count]
.caption.title. .caption.title.
@ -72,7 +72,7 @@ p.
Χρησιμοποιώντας το ίδιο εργαλείο (XSC1), εξάγεται η κυματομορφή της εξόδου. Το διάγραμμα και οι επιλεγμένες τιμές του εργαλείου φαίνονται παρακάτω: 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 figure.block-center.width-17cm
img(src="2_band_pass/assets/diagrams/multisim_band_pass_chebyshev_oscilloscope_output_sig.svg").width-17cm img(src="3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_oscilloscope_output_sig.svg").width-17cm
figcaption figcaption
.reference #[span.plot-count] .reference #[span.plot-count]
.caption.title. .caption.title.
@ -86,7 +86,7 @@ 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: 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 figure.block-center.width-17cm
img(src="2_band_pass/assets/diagrams/multisim_band_pass_chebyshev_oscilloscope_combined_input_output_sig.svg").width-17cm img(src="3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_oscilloscope_combined_input_output_sig.svg").width-17cm
figcaption figcaption
.reference #[span.plot-count] .reference #[span.plot-count]
.caption.title. .caption.title.
@ -104,7 +104,7 @@ p.
Η συνολική απόκριση του φίλτρου στο σήμα εισόδου 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: Η συνολική απόκριση του φίλτρου στο σήμα εισόδου 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 figure.block-center.width-17cm
img(src="2_band_pass/assets/diagrams/matlab_band_pass_chebyshev_combined_input_output_sig.svg").width-17cm img(src="3_band_elimination/assets/diagrams/matlab_band_elimination_chebyshev_combined_input_output_sig.svg").width-17cm
figcaption figcaption
.reference #[span.plot-count] .reference #[span.plot-count]
.caption.title. .caption.title.
@ -116,7 +116,7 @@ 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: 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 figure.block-center.width-17cm
img(src="2_band_pass/assets/diagrams/matlab_band_pass_chebyshev_input_spectrum.svg").width-17cm img(src="3_band_elimination/assets/diagrams/matlab_band_elimination_chebyshev_input_spectrum.svg").width-17cm
figcaption figcaption
.reference #[span.plot-count] .reference #[span.plot-count]
.caption.title. .caption.title.
@ -126,7 +126,7 @@ p.
Το φάσμα του σήματος εξόδου φαίνεται στο παρακάτω διάγραμμα: Το φάσμα του σήματος εξόδου φαίνεται στο παρακάτω διάγραμμα:
figure.block-center.width-17cm figure.block-center.width-17cm
img(src="2_band_pass/assets/diagrams/matlab_band_pass_chebyshev_output_spectrum.svg").width-17cm img(src="3_band_elimination/assets/diagrams/matlab_band_elimination_chebyshev_output_spectrum.svg").width-17cm
figcaption figcaption
.reference #[span.plot-count] .reference #[span.plot-count]
.caption.title. .caption.title.
@ -136,7 +136,7 @@ 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: 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 figure.block-center.width-17cm
img(src="2_band_pass/assets/diagrams/multisim_band_pass_chebyshev_spectrum_analyzer_input.svg").width-17cm img(src="3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_spectrum_analyzer_input.svg").width-17cm
figcaption figcaption
.reference #[span.plot-count] .reference #[span.plot-count]
.caption.title. .caption.title.
@ -151,7 +151,7 @@ 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: 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 figure.block-center.width-17cm
img(src="2_band_pass/assets/diagrams/multisim_band_pass_chebyshev_spectrum_analyzer_output.svg").width-17cm img(src="3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_spectrum_analyzer_output.svg").width-17cm
figcaption figcaption
.reference #[span.plot-count] .reference #[span.plot-count]
.caption.title. .caption.title.
@ -166,7 +166,7 @@ p.
Τα δύο παραπάνω διαγράμματα συνδυάστηκαν σε ένα για ευκολότερη εξαγωγή συμπερασμάτων: Τα δύο παραπάνω διαγράμματα συνδυάστηκαν σε ένα για ευκολότερη εξαγωγή συμπερασμάτων:
figure.block-center.width-17cm figure.block-center.width-17cm
img(src="2_band_pass/assets/diagrams/multisim_band_pass_chebyshev_spectrum_analyzer_combined_input_output.svg").width-17cm img(src="3_band_elimination/assets/diagrams/multisim_band_elimination_chebyshev_spectrum_analyzer_combined_input_output.svg").width-17cm
figcaption figcaption
.reference #[span.plot-count] .reference #[span.plot-count]
.caption.title. .caption.title.

334
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After

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4
report/4_high_pass/4_high_pass.pug

@ -47,6 +47,6 @@ figure.block-center.width-15cm
Στο γράφημα φαίνονται οι συχνότητες που ορίζουν τη ζώνη αποκοπής (f#[sub s]/ω#[sub s]) και τη ζώνη διόδου (f#[sub p]/ω#[sub p]), καθώς και οι προδιαγραφές α#[sub min] και α#[sub max]. Στο γράφημα φαίνονται οι συχνότητες που ορίζουν τη ζώνη αποκοπής (f#[sub s]/ω#[sub s]) και τη ζώνη διόδου (f#[sub p]/ω#[sub p]), καθώς και οι προδιαγραφές α#[sub min] και α#[sub max].
// Sub-Chapters // Sub-Chapters
//- include 4_high_pass_design include 4_high_pass_design
include 4_high_pass_transfer_function_matlab include 4_high_pass_transfer_function_matlab
//- include 1_low_pass_transfer_function_multisim include 4_high_pass_transfer_function_multisim

180
report/4_high_pass/4_high_pass_transfer_function_multisim.pug

@ -0,0 +1,180 @@
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:
figure.block-center.width-19cm
img(src="4_high_pass/assets/diagrams/multisim_high_pass_butterworth_circuit_layout.svg").width-19cm
figcaption
.reference #[span.plot-count]
.caption.title.
Υλοποίηση ζωνοδιαβατού Chebyshev στο Multisim.
.caption.
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 ομάδα πέντε συνημιτονοειδών πηγών τάσης (V2-V6) και ένας διακόπτης (S1) για την επιλογή του σήματος εισόδου.
p.
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-15cm
img(src="4_high_pass/assets/diagrams/multisim_high_pass_butterworth_bode_plotter.svg").width-15cm
figcaption
.reference #[span.plot-count]
.caption.title.
Έξοδος bode plotter-XBP1 ζωνοδιαβατού Chebyshev φίλτρου από το Multisim.
.caption.
Οι επιλογές του bode plotter που χρησιμοποιήθηκαν:
#[br/]#[strong Mode:] Magnitude
#[br/]#[strong Horizontal:] Log με #[strong F:] 20 kHz και #[strong I:] 1 Hz
#[br/]#[strong Vertical:] Log με #[strong F:] 1 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="4_high_pass/assets/diagrams/multisim_high_pass_butterworth_bode_plotter_with_values.svg").width-15cm
figcaption
.reference #[span.plot-count]
.caption.title.
Έξοδος bode plotter-XBP1 ζωνοδιαβατού 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:] 20 kHz και #[strong I:] 1 Hz
#[br/]#[strong Vertical:] Log με #[strong F:] 1 dB και #[strong I:] -200 dB
#[br/]#[strong Set...] με #[strong Resolution points:] 1000
#[br/]Οι συχνότητες που σημειώνονται είναι f#[sub 3]=696.11 Hz, f#[sub 0]=900 Hz, μέγιστο σημείο του ripple (944.1 Hz) και f#[sub hp]=1021.52 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. Επίσης οι συχνότητες που σημειώνονται στα διαγράμματα απέχουν μερικά Hz από τις κρίσιμες συχνότητες (για παράδειγμα 901.6 Hz αντί για 900 Hz).
p.
Ο διακόπτης S1 τοποθετείται τώρα στην δεξιά επαφή ώστε να επιλεχθεί ως σήμα εισόδου του φίλτρου το σύνθετο σήμα αποτελούμενο από τα συνημιτονοειδή των πηγών V2-V6:
p.latex-equation.
$$\begin{align*} V_{in} &= \cos\bigg((\omega_0-\frac{\omega_0-\omega_1}{2})t\bigg) + 0.8\cos\bigg((\omega_0+\frac{\omega_0+\omega_1}{3})t\bigg) + 0.8\cos(0.4\omega_3t) \\[1em] &+ 0.6\cos(2.5\omega_4t) + 0.5\cos(3\omega_4t) \\[1em] &=\cos(2*\pi*850t) + 0.8\cos(2*\pi*1466.7t) + 0.8\cos(2*\pi*278.4t) \\[1em] &+ 0.6\cos(2*\pi*2909t) + 0.5\cos(2*\pi*3490.8t) \end{align*}$$
p.
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="4_high_pass/assets/diagrams/multisim_high_pass_butterworth_oscilloscope_input_sig.svg").width-17cm
figcaption
.reference #[span.plot-count]
.caption.title.
Έξοδος oscilloscope-XSC1 (μόνο channel A) ζωνοδιαβατού Chebyshev φίλτρου από το Multisim.
.caption.
Οι επιλογές του oscilloscope που χρησιμοποιήθηκαν:
#[br/]#[strong Timebase:] #[strong Scale:] 5 ms/Div, #[strong X pos.:] 0 και #[strong mode:] Y/T
#[br/]#[strong Channel:] #[strong Scale:] 2 V/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="4_high_pass/assets/diagrams/multisim_high_pass_butterworth_oscilloscope_output_sig.svg").width-17cm
figcaption
.reference #[span.plot-count]
.caption.title.
Έξοδος oscilloscope-XSC1 (μόνο channel B) ζωνοδιαβατού Chebyshev φίλτρου από το Multisim.
.caption.
Οι επιλογές του oscilloscope που χρησιμοποιήθηκαν:
#[br/]#[strong Timebase:] #[strong Scale:] 5 ms/Div, #[strong X pos.:] 0 και #[strong mode:] Y/T
#[br/]#[strong Channel:] #[strong Scale:] 2 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="4_high_pass/assets/diagrams/multisim_high_pass_butterworth_oscilloscope_combined_input_output_sig.svg").width-17cm
figcaption
.reference #[span.plot-count]
.caption.title.
Έξοδος oscilloscope-XSC1 ζωνοδιαβατού Chebyshev φίλτρου από το Multisim.
.caption.
Οι επιλογές του oscilloscope που χρησιμοποιήθηκαν:
#[br/]#[strong Timebase:] #[strong Scale:] 5 ms/Div, #[strong X pos.:] 0 και #[strong mode:] Y/T
#[br/]#[strong Channel A:] (input signal) #[strong Scale:] 2 V/Div, #[strong Y pos.:] 0 και #[strong mode:] DC
#[br/]#[strong Channel B:] (output signal) #[strong Scale:] 2 V/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 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="4_high_pass/assets/diagrams/matlab_high_pass_butterworth_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="4_high_pass/assets/diagrams/matlab_high_pass_butterworth_input_spectrum.svg").width-17cm
figcaption
.reference #[span.plot-count]
.caption.title.
Φάσμα σήματος εισόδου, διάγραμμα από Matlab.
p.
Το φάσμα του σήματος εξόδου φαίνεται στο παρακάτω διάγραμμα:
figure.block-center.width-17cm
img(src="4_high_pass/assets/diagrams/matlab_high_pass_butterworth_output_spectrum.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="4_high_pass/assets/diagrams/multisim_high_pass_butterworth_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:] 5 kHz, #[strong Start:] 0 Hz, #[strong Center:] 2.5 kHz και #[strong End:] 5 kHz
#[br/]#[strong Amplitude:] #[strong lin] και #[strong Range:] 0.2 V/Div
#[br/]#[strong Resolution freq.:] 39.063 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="4_high_pass/assets/diagrams/multisim_high_pass_butterworth_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:] 5 kHz, #[strong Start:] 0 Hz, #[strong Center:] 2.5 kHz και #[strong End:] 5 kHz
#[br/]#[strong Amplitude:] #[strong lin] και #[strong Range:] 0.2 V/Div
#[br/]#[strong Resolution freq.:] 39.063 Hz
p.
Τα δύο παραπάνω διαγράμματα συνδυάστηκαν σε ένα για ευκολότερη εξαγωγή συμπερασμάτων:
figure.block-center.width-17cm
img(src="4_high_pass/assets/diagrams/multisim_high_pass_butterworth_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 ζωνοδιαβατό φίλτρο.
p.
Πιο συγκεκριμένα παρατηρείται ότι στο φάσμα εξόδου εμφανίζονται μόνο οι συχνότητες του φάσματος εισόδου που ανήκουν στη ζώνη διόδου του φίλτρου. Ταυτόχρονα, οι συχνότητες της ζώνης αποκοπής, υπέστησαν τόσο σημαντική απόσβεση ώστε να μη φαίνονται στο φάσμα εξόδου, δείχνοντας ότι οι συχνότητες αυτές κόβονται από το φίλτρο.

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After

Width:  |  Height:  |  Size: 21 KiB

4
report/report.pug

@ -4,8 +4,8 @@
//- include cover_page //- include cover_page
//- include 0_intro/0_intro //- include 0_intro/0_intro
//- include 1_low_pass/1_low_pass //- include 1_low_pass/1_low_pass
//- include 2_band_pass/2_band_pass include 2_band_pass/2_band_pass
include 3_band_elimination/3_band_elimination //- include 3_band_elimination/3_band_elimination
//- include 4_high_pass/4_high_pass //- include 4_high_pass/4_high_pass
//- Removes annoying date from top left corner //- Removes annoying date from top left corner

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