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Minor fixes

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Apostolos Fanakis 6 years ago
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5 changed files with 189 additions and 165 deletions
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  1. 24
      Band Elimination Chebyshev/band_elimination_design.m
  2. 22
      Band Pass Chebyshev/band_pass_design.m
  3. 10
      High Pass Butterworth/high_pass_design.m
  4. 18
      report/2_band_pass/2_band_pass_design.pug
  5. 280
      report/2_band_pass/assets/diagrams/matlab_band_pass_chebyshev_zero_pole.svg

24
Band Elimination Chebyshev/band_elimination_design.m
View File

@ -536,22 +536,22 @@ for i=1:2
(1/normalized_transfer_function_zero^2); (1/normalized_transfer_function_zero^2);
% Calculates R2 using the eq. 7-138 % Calculates R2 using the eq. 7-138
high_pass_notch_units_R2(1,i) = band_elimination_poles_Q(1,unit_index)^2* ... high_pass_notch_units_R2(1,i) = band_elimination_poles_Q(1,unit_index)^2* ...
(high_pass_notch_units_k1(1,i)+2)^2; (high_pass_notch_units_k1(1,i)+2)^2; % Ohm
% Assumes that R3 is 1 Ohm and the radial frequency is 1 rad/s % Assumes that R3 is 1 Ohm and the radial frequency is 1 rad/s
high_pass_notch_units_R3(1,i) = 1; high_pass_notch_units_R3(1,i) = 1; % Ohm
% Calculates R4 using the eq. 7-139 % Calculates R4 using the eq. 7-139
high_pass_notch_units_R4(1,i) = (high_pass_notch_units_k1(1,i)+2)* ... high_pass_notch_units_R4(1,i) = (high_pass_notch_units_k1(1,i)+2)* ...
band_elimination_poles_Q(1,unit_index)^2; band_elimination_poles_Q(1,unit_index)^2; % Ohm
% Calculates C using the eq. 7-140 % Calculates C using the eq. 7-140
high_pass_notch_units_C(1,i) = 1/ ... high_pass_notch_units_C(1,i) = 1/ ...
(band_elimination_poles_Q(1,unit_index)* ... (band_elimination_poles_Q(1,unit_index)* ...
(high_pass_notch_units_k1(1,i)+2)); (high_pass_notch_units_k1(1,i)+2)); % Farad
% Initial axioms of the design were: % Initial axioms of the design were:
% C1 = k1 * C % C1 = k1 * C
high_pass_notch_units_C1(1,i) = high_pass_notch_units_k1(1,i)* ... high_pass_notch_units_C1(1,i) = high_pass_notch_units_k1(1,i)* ...
high_pass_notch_units_C(1,i); high_pass_notch_units_C(1,i); % Farad
% R1 = 1 Ohm % R1 = 1 Ohm
high_pass_notch_units_R1(1,i) = 1; high_pass_notch_units_R1(1,i) = 1; % Ohm
% Selects the appropriate frequency scale factor to transfer the % Selects the appropriate frequency scale factor to transfer the
% normalized radial frequency back to the original % normalized radial frequency back to the original
@ -565,19 +565,19 @@ for i=1:2
% Performs scaling % Performs scaling
high_pass_notch_units_R1(1,i) = high_pass_notch_units_R1(1,i)* ... high_pass_notch_units_R1(1,i) = high_pass_notch_units_R1(1,i)* ...
high_pass_notch_units_amplitude_scale_factors(1,i); high_pass_notch_units_amplitude_scale_factors(1,i); % Ohm
high_pass_notch_units_R2(1,i) = high_pass_notch_units_R2(1,i)* ... high_pass_notch_units_R2(1,i) = high_pass_notch_units_R2(1,i)* ...
high_pass_notch_units_amplitude_scale_factors(1,i); high_pass_notch_units_amplitude_scale_factors(1,i); % Ohm
high_pass_notch_units_R3(1,i) = high_pass_notch_units_R3(1,i)* ... high_pass_notch_units_R3(1,i) = high_pass_notch_units_R3(1,i)* ...
high_pass_notch_units_amplitude_scale_factors(1,i); high_pass_notch_units_amplitude_scale_factors(1,i); % Ohm
high_pass_notch_units_R4(1,i) = high_pass_notch_units_R4(1,i)* ... high_pass_notch_units_R4(1,i) = high_pass_notch_units_R4(1,i)* ...
high_pass_notch_units_amplitude_scale_factors(1,i); high_pass_notch_units_amplitude_scale_factors(1,i); % Ohm
high_pass_notch_units_C(1,i) = high_pass_notch_units_C(1,i)/ ... high_pass_notch_units_C(1,i) = high_pass_notch_units_C(1,i)/ ...
(high_pass_notch_units_frequency_scale_factors(1,i)* ... (high_pass_notch_units_frequency_scale_factors(1,i)* ...
high_pass_notch_units_amplitude_scale_factors(1,i)); high_pass_notch_units_amplitude_scale_factors(1,i)); % Farad
high_pass_notch_units_C1(1,i) = high_pass_notch_units_C1(1,i)/ ... high_pass_notch_units_C1(1,i) = high_pass_notch_units_C1(1,i)/ ...
(high_pass_notch_units_frequency_scale_factors(1,i)* ... (high_pass_notch_units_frequency_scale_factors(1,i)* ...
high_pass_notch_units_amplitude_scale_factors(1,i)); high_pass_notch_units_amplitude_scale_factors(1,i)); % Farad
% Builds unit's transfer function using the eq. 7-129, 7-130, 7-131 % Builds unit's transfer function using the eq. 7-129, 7-130, 7-131
high_pass_notch_unit_numerator = [1 ... high_pass_notch_unit_numerator = [1 ...

22
Band Pass Chebyshev/band_pass_design.m
View File

@ -394,12 +394,12 @@ for i=1:band_pass_number_of_poles
units_BW(1,i) = band_pass_poles_radial_frequencies(1,i)/ ... units_BW(1,i) = band_pass_poles_radial_frequencies(1,i)/ ...
band_pass_poles_Q(1,i); band_pass_poles_Q(1,i);
% Calculates C21 (=C22=C) using the eq. 7-87 % Calculates C21 (=C22=C) using the eq. 7-87
units_C21(1,i) = 1/(2*band_pass_poles_Q(1,i)); units_C21(1,i) = 1/(2*band_pass_poles_Q(1,i)); % Farad
units_C22(1,i) = units_C21(1,i); units_C22(1,i) = units_C21(1,i); % Farad
% Using the eq. 7-86 % Using the eq. 7-86
units_R1(1,i) = 1; units_R1(1,i) = 1; % Ohm
% Calculates R12 using the eq. 7-87 % Calculates R12 using the eq. 7-87
units_R2(1,i) = 4*band_pass_poles_Q(1,i)^2; units_R2(1,i) = 4*band_pass_poles_Q(1,i)^2; % Ohm
% Selects the appropriate frequency scale factor to transfer the % Selects the appropriate frequency scale factor to transfer the
% normalized radial frequency back to the original % normalized radial frequency back to the original
@ -411,10 +411,10 @@ for i=1:band_pass_number_of_poles
(units_frequency_scale_factors(1,i)*0.1*10^(-6)); (units_frequency_scale_factors(1,i)*0.1*10^(-6));
% Scales the circuit elements % Scales the circuit elements
units_C21(1,i) = 0.1*10^(-6); units_C21(1,i) = 0.1*10^(-6); % Farad
units_C22(1,i) = 0.1*10^(-6); units_C22(1,i) = 0.1*10^(-6); % Farad
units_R1(1,i) = units_amplitude_scale_factors(1,i); units_R1(1,i) = units_amplitude_scale_factors(1,i); % Ohm
units_R2(1,i) = units_R2(1,i)*units_amplitude_scale_factors(1,i); units_R2(1,i) = units_R2(1,i)*units_amplitude_scale_factors(1,i); % Ohm
% Calculates the gain at the central radial frequency and the alpha % Calculates the gain at the central radial frequency and the alpha
% parameter using the eq. 7-89 % parameter using the eq. 7-89
@ -434,9 +434,9 @@ for i=1:band_pass_number_of_poles
% Calculates the values of the resistors used to diminish the entry % Calculates the values of the resistors used to diminish the entry
% using the eq. 7-90 (to include the scaling already done the equations % using the eq. 7-90 (to include the scaling already done the equations
% are used in the form presented at example 7.2) % are used in the form presented at example 7.2)
units_Z2(1,i) = units_R1(1,i)/units_alpha(1,i); units_Z2(1,i) = units_R1(1,i)/units_alpha(1,i); % Ohm
units_Z3(1,i) = units_R1(1,i)/(1-units_alpha(1,i)); units_Z3(1,i) = units_R1(1,i)/(1-units_alpha(1,i)); % Ohm
unit_Z_parallel = (units_Z2(1,i)*units_Z3(1,i))/(units_Z2(1,i)+units_Z3(1,i)); unit_Z_parallel = (units_Z2(1,i)*units_Z3(1,i))/(units_Z2(1,i)+units_Z3(1,i)); % Ohm
% %
unit_numerator = [-1/(units_Z2(1,i)*units_C21(1,i)) ... unit_numerator = [-1/(units_Z2(1,i)*units_C21(1,i)) ...

10
High Pass Butterworth/high_pass_design.m
View File

@ -314,7 +314,7 @@ units_transfer_functions = [tf(1) tf(1)];
for i=1:high_pass_number_of_poles for i=1:high_pass_number_of_poles
% Calculates k and r2 using the eq. 6-75 % Calculates k and r2 using the eq. 6-75
units_r2(1,i) = 2-1/high_pass_poles_Q(1,i); units_r2(1,i) = 2-1/high_pass_poles_Q(1,i); % Ohm
units_k(1,i) = 3-1/high_pass_poles_Q(1,i); units_k(1,i) = 3-1/high_pass_poles_Q(1,i);
% Selects the appropriate frequency scale factor to transfer the % Selects the appropriate frequency scale factor to transfer the
@ -329,12 +329,12 @@ for i=1:high_pass_number_of_poles
% Performs scaling % Performs scaling
units_R(1,i) = units_R(1,i)* ... units_R(1,i) = units_R(1,i)* ...
units_amplitude_scale_factors(1,i); units_amplitude_scale_factors(1,i); % Ohm
units_C(1,i) = 0.1*10^(-6); units_C(1,i) = 0.1*10^(-6); % Farad
units_r1(1,i) = units_r1(1,i)* ... units_r1(1,i) = units_r1(1,i)* ...
units_amplitude_scale_factors(1,i); units_amplitude_scale_factors(1,i); % Ohm
units_r2(1,i) = units_r2(1,i)* ... units_r2(1,i) = units_r2(1,i)* ...
units_amplitude_scale_factors(1,i); units_amplitude_scale_factors(1,i); % Ohm
% Builds unit's transfer function % Builds unit's transfer function
% Builds numerator and denominator of the transfer function using the % Builds numerator and denominator of the transfer function using the

18
report/2_band_pass/2_band_pass_design.pug
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@ -21,7 +21,7 @@ h4 Υπολογισμός συνάρτησης μεταφοράς
p Αρχικά υπολογίζεται η κεντρική συχνότητα χρησιμοποιώντας την εξίσωση #[span.course-notes-equation 11-2]: p Αρχικά υπολογίζεται η κεντρική συχνότητα χρησιμοποιώντας την εξίσωση #[span.course-notes-equation 11-2]:
p.latex-equation. p.latex-equation.
$$\omega_0 = \sqrt{\omega_1\omega_2}=\sqrt{5026.548*6361.725}=5654.867$$ $$\omega_0 = \sqrt{\omega_1\omega_2}=\sqrt{5026.548*6361.725}=5654.867\frac{\text{rad}}{\text{s}}$$
p. p.
Η κεντρική συχνότητα που υπολογίστηκε προκύπτει ίση με αυτή που δίνεται στην εκφώνηση, επιβεβαιώνεται έτσι ότι οι συχνότητες ω#[sub 1] - ω#[sub 4] υπολογίστηκαν σωστά. Η κεντρική συχνότητα που υπολογίστηκε προκύπτει ίση με αυτή που δίνεται στην εκφώνηση, επιβεβαιώνεται έτσι ότι οι συχνότητες ω#[sub 1] - ω#[sub 4] υπολογίστηκαν σωστά.
@ -30,7 +30,7 @@ p.
Υπολογίζεται το εύρος ζώνης διόδου χρησιμοποιώντας την εξίσωση #[span.course-notes-equation 11-52]: Υπολογίζεται το εύρος ζώνης διόδου χρησιμοποιώντας την εξίσωση #[span.course-notes-equation 11-52]:
p.latex-equation. p.latex-equation.
$$bw = \omega_2-\omega_1=6361.725-5026.548=1335.177$$ $$bw = \omega_2-\omega_1=6361.725-5026.548=1335.177\text{ rad}$$
p. p.
Σχεδιάζεται ένα πρότυπο κατωδιαβατό Chebyshev φίλτρο, το οποίο αργότερα θα μετατραπεί στο επιθυμητό ζωνοδιαβατό Chebyshev. Σχεδιάζεται ένα πρότυπο κατωδιαβατό Chebyshev φίλτρο, το οποίο αργότερα θα μετατραπεί στο επιθυμητό ζωνοδιαβατό Chebyshev.
@ -46,7 +46,7 @@ p Οι προδιαγραφές απόσβεσης παραμένουν ίδιε
p Υπολογίζεται η τάξη του φίλτρου χρησιμοποιώντας την εξίσωση #[span.course-notes-equation 9-83]: p Υπολογίζεται η τάξη του φίλτρου χρησιμοποιώντας την εξίσωση #[span.course-notes-equation 9-83]:
p.latex-equation. p.latex-equation.
$$n = \left \lceil \frac{cos^{-1}\bigg(\sqrt{\frac{10^{\frac{a_{min}}{10}}-1}{10^{\frac{a_{max}}{10}}-1}}\bigg)}{cosh^{-1}\Omega_S} \right \rceil = \left \lceil \frac{cos^{-1}\bigg(\sqrt{\frac{10^{2.8556}-1}{10^{0.0667}-1}}\bigg)}{cosh^{-1}(2.2)} \right \rceil = \left \lceil \frac{4.87789}{1.42542} \right \rceil = \left \lceil 3.422 \right \rceil = 4$$ $$n = \left \lceil \frac{\cosh^{-1}\bigg(\sqrt{\frac{10^{\frac{a_{min}}{10}}-1}{10^{\frac{a_{max}}{10}}-1}}\bigg)}{\cosh^{-1}\Omega_S} \right \rceil = \left \lceil \frac{\cosh^{-1}\bigg(\sqrt{\frac{10^{2.8556}-1}{10^{0.0667}-1}}\bigg)}{\cosh^{-1}(2.2)} \right \rceil = \left \lceil \frac{4.87789}{1.42542} \right \rceil = \left \lceil 3.422 \right \rceil = 4$$
p. p.
Από τον παραπάνω τύπο φαίνεται ότι κατά τον υπολογισμό της τάξης του φίλτρου γίνεται στρογγυλοποίηση της τάξης προς τον επόμενο #[strong μεγαλύτερο] ακέραιο. Αυτό γίνεται επειδή δεν είναι δυνατή η υλοποίηση ενός φίλτρου ρητής τάξεως, έτσι είναι απαραίτητο η τάξη να στρογγυλοποιηθεί. Η στρογγυλοποίηση είναι σημαντικό να γίνει προς τα επάνω (ceiling) ώστε να επιτευχθούν οι προδιαγραφές του φίλτρου. Μία πιθανή στρογγυλοποίηση προς τα κάτω θα είχε ως αποτέλεσμα την αποτυχία στη σχεδίαση. Από τον παραπάνω τύπο φαίνεται ότι κατά τον υπολογισμό της τάξης του φίλτρου γίνεται στρογγυλοποίηση της τάξης προς τον επόμενο #[strong μεγαλύτερο] ακέραιο. Αυτό γίνεται επειδή δεν είναι δυνατή η υλοποίηση ενός φίλτρου ρητής τάξεως, έτσι είναι απαραίτητο η τάξη να στρογγυλοποιηθεί. Η στρογγυλοποίηση είναι σημαντικό να γίνει προς τα επάνω (ceiling) ώστε να επιτευχθούν οι προδιαγραφές του φίλτρου. Μία πιθανή στρογγυλοποίηση προς τα κάτω θα είχε ως αποτέλεσμα την αποτυχία στη σχεδίαση.
@ -224,6 +224,9 @@ figure.block-center.width-15cm
tr tr
td Q td Q
td 10.9546 td 10.9546
tr
td ω#[sub z]
td 0+0j
tr tr
td Angle td Angle
td ±87.38° td ±87.38°
@ -352,6 +355,9 @@ figure.block-center.width-15cm
tr tr
td Q td Q
td 10.9546 td 10.9546
tr
td ω#[sub z]
td 0+0j
tr tr
td Angle td Angle
td ±87.38° td ±87.38°
@ -480,6 +486,9 @@ figure.block-center.width-15cm
tr tr
td Q td Q
td 26.599 td 26.599
tr
td ω#[sub z]
td 0+0j
tr tr
td Angle td Angle
td ±88.92° td ±88.92°
@ -608,6 +617,9 @@ figure.block-center.width-15cm
tr tr
td Q td Q
td 26.599 td 26.599
tr
td ω#[sub z]
td 0+0j
tr tr
td Angle td Angle
td ±88.92° td ±88.92°

280
report/2_band_pass/assets/diagrams/matlab_band_pass_chebyshev_zero_pole.svg
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@ -1,7 +1,7 @@
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