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Антон 2021-02-01 14:25:49 +03:00
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252
Stuff/CIC_Filters/rx.m 100644
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%% ------------------------------------------------------------------------
%
% Title : test_cic.m
% Author : Alexander Kapitanov
% E-mail : sallador@bk.ru
% Version : 1.0
%
% -------------------------------------------------------------------------
%
% Description :
%
% FIR filter compensator to correct freq response after CIC filter.
%
% -------------------------------------------------------------------------
%
% Version : 1.0
% Date : 2017.06.03
%
%% ------------------------------------------------------------------------
%
% GNU GENERAL PUBLIC LICENSE
% Version 3, 29 June 2007
%
% Copyright (c) 2018 Kapitanov Alexander
%
% This program is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% You should have received a copy of the GNU General Public License
% along with this program. If not, see <http://www.gnu.org/licenses/>.
%
% THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
% APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
% HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
% OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
% THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
% PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
% IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
% ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
%
%% ------------------------------------------------------------------------
set(0, 'DefaultAxesFontSize', 11, 'DefaultAxesFontName', 'Times New Roman');
set(0, 'DefaultTextFontSize', 11, 'DefaultTextFontName', 'Times New Roman');
close all;
clear all;
%% ------------------------------------------------------------------------
% ---- CIC Filter Parameters
% ------------------------------------------------------------------------
R = 1340; % Decimation factor
N = 6; % Number of stages
M = 1; % Differential delay (only 1)
%% ------------------------------------------------------------------------
% ---- FIR filter parameters
% ------------------------------------------------------------------------
NFIR = 64; % Filter order, must be odd when Fo = 0.5 !!!
Bc = 32; % Coef. Bit-width
Fo = 0.49; % Normalized Cutoff: 0.2 < Fo < 0.5;
BETA = 8; % BETA parameter for Kaiser window (if IS_WIND = 'Y')
%% ------------------------------------------------------------------------
% ---- Save data parameters
% ------------------------------------------------------------------------
IS_COE = 'Y'; % create *.COE Xilinx file
IS_HDR = 'N'; % create *.H file (header)
IS_WIND = 'Y'; % use Kaiser Window for FIR corrector
IS_PLOT_IDL = 'Y'; % plot ideal response
IS_PLOT_FIR = 'Y'; % plot FIR filter IR
IS_PLOT_ERR = 'Y'; % plot total error response in passband
%% ------------------------------------------------------------------------
% ---- CIC Compensator Design
% ------------------------------------------------------------------------
NFFT = 2^16; % FFT points for Freq Response (spectrum)
STEP = 1/NFFT; % Step size
w = -pi:2*pi/NFFT:pi-2*pi/NFFT;
ff = 0:1/NFFT:1-1/NFFT;
z = exp(1j * w);
Fc = 1/(2*R);
Fr = Fo/R;
% 1 way:
%HCIC = (1/R * (1-z.^(-R*M))./(1-z.^(-1))).^ N;
% 2 way:
HCIC = (R^-N*abs(1*M*sin(pi*M*R*ff) ./ sin(pi*ff)).^N);
HCICdb = 20 * log10(abs(HCIC));
fp = [0:STEP:Fo]; % Pass band frequency dots
fs = [(Fo+STEP):STEP:0.5]; % Stop band frequency dots
f = [fp fs]*2; % Normalized frequency dots
f(end) = 1;
% Calculate ideal response
Mp = ones(1, length(fp)); % Pass band response; Mp(1) = 1
Mp(2:end) = abs(M * R * sin(pi*fp(2:end)/R) ./ sin(pi*M*fp(2:end))).^(N);
Mf = [Mp zeros(1, length(fs))];
if (IS_PLOT_IDL == 'Y')
figure('name','FIR Ideal Response', 'Numbertitle', 'off')
plot(f/2, Mf, '-.', 'LineWidth', 2, 'Color',[0 0 1]);
title([{'FIR Ideal Response'};{sprintf('Fo = %i',Fo)}]);
xlabel ('Freq (\pi x rad / samples)');
ylabel ('Magnitude');
axis tight;
legend([{sprintf('Fo = %i',Fo)}]);
grid on;
end
% Calculate FIR
hFIR = fir2(NFIR-1, f, Mf); % Filter length NFIR
hFIR = hFIR / max(hFIR); % Double coefficients
hCOE = round(hFIR*(2^(Bc-1)-1)); % Fixed point coefficients
% Windowed FIR (Kaiser with BETA)
if (IS_WIND == 'Y')
WIND = kaiser(NFIR, BETA); % KAISER WINDOW IS USED!
hWIND = fir1(NFIR-1, Fo/R, 'low', WIND);
hNEW = hCOE .* hWIND;% conv2(hCOE,Hwind);
hCOE = hNEW;
end
if (IS_PLOT_FIR == 'Y')
figure('name','FIR Response', 'Numbertitle', 'off')
plot(hFIR, '-', 'LineWidth', 2, 'Color',[1 0 0]);
title([{'FIR Response'};{sprintf('Order = %i',NFIR)}]);
xlabel ('Samples');
ylabel ('Magnitude');
axis tight;
legend([{sprintf('Order = %i',NFIR)}]);
grid on;
end
hFFT = 20 * log10(abs(fft(hCOE, ceil(NFFT/R))));
hFFT = hFFT - max(hFFT);
H_amp = repmat(hFFT, 1, R);
H_amp = H_amp(1:length(ff));
H_amp = H_amp - max(H_amp);
H_comp = HCICdb + H_amp;
H_comp = H_comp - max(H_comp);
%% ------------------------------------------------------------------------
% ---- Plot results
% ------------------------------------------------------------------------
% ---- Figure #1
figure('name','CIC/FIR Frequency Response', 'Numbertitle', 'off')
plot(ff, HCICdb - max(HCICdb), '-.', 'LineWidth', 2, 'Color',[0 0 1]);
hold on;
plot(ff, H_amp, '--', 'LineWidth', 2, 'Color',[0 0.4 0]);
hold on;
plot(ff, H_comp, '-', 'LineWidth', 2, 'Color',[1 0 0]);
hold on;
title([{'CIC, Comp. FIR and Result'};{sprintf('Filter Order = %i, Coef. width = %i',NFIR,Bc)}]);
xlabel ('Freq (\pi x rad / samples)');
ylabel ('Magnitude (dB)');
axis([0 ff(NFFT)/2 -100 5]);
line([Fr Fr], [-400 200], 'LineWidth', 1, 'linestyle', '--', 'Color', [0 0 0]);
line([Fc Fc], [-400 200], 'LineWidth', 1, 'linestyle', '--', 'Color', [0 0 0]);
line([2*Fc 2*Fc], [-400 200], 'LineWidth', 1, 'linestyle', '--', 'Color', [0 0 0]);
legend('CIC filter','Comp. FIR','Sum Response','location','northeast');
grid on;
% ---- Figure #2
figure('name', 'CIC/FIR Frequency Response (Zoom)', 'Numbertitle', 'off')
plot(ff, HCICdb - max(HCICdb), '-.', 'LineWidth', 2, 'Color',[0 0 1]);
hold on;
plot(ff, H_amp, '--', 'LineWidth', 2, 'Color',[0 0.4 0]);
hold on;
plot(ff, H_comp, '-', 'LineWidth', 2, 'Color',[1 0 0]);
hold on;
title([{'CIC, Comp. FIR and Result'};{sprintf('Filter Order = %i, Coef. width = %i',NFIR,Bc)}]);
xlabel ('Freq (\pi x rad / samples)');
ylabel ('Magnitude (dB)');
axis([0 ff(NFFT)/(2*R) -7 1]);
line([Fr Fr], [-400 200], 'LineWidth', 1, 'linestyle', '--', 'Color', [0 0 0]);
grid on;
%% ------------------------------------------------------------------------
% ---- Passband irregularity
% ------------------------------------------------------------------------
if (IS_PLOT_ERR == 'Y')
pass = ceil(0.85*length(H_comp)*Fr);
stp = 0:(0.9*Fr)/pass:(0.9*Fr)-(0.9*Fr)/pass;
stp = stp(2:pass);
Irr = H_comp(2:pass);
Ism = mean(Irr);
Iav = (max(Irr)-min(Irr))/2;
figure('name', 'Passband irregularity', 'Numbertitle', 'off')
plot(stp, Irr, '--', 'LineWidth', 2, 'Color',[0 0 1]);
line([0 (0.9*Fr)], [Ism Ism], 'LineWidth', 2, 'linestyle', '-', 'Color', [0 0 0]);
grid on;
title([{'Passband irregularity'};{sprintf('Mean value = %f',Ism)};{sprintf('Freq error = %f (dB)',Iav)}]);
xlabel ('Freq (\pi x rad / samples)');
ylabel ('Magnitude (dB)');
axis tight;
%axis([0 ff(NFFT)/(2*R) -0.05 1]);
end
%% ------------------------------------------------------------------------
% ---- Save coe data to files
% ------------------------------------------------------------------------
if (IS_COE == 'Y')
fid = fopen ('fir_filter.coe', 'w');
fprintf(fid, 'Radix = 10;\n');
fprintf(fid, 'Coefficient_Width = %d;\n', Bc);
fprintf(fid, 'Coefdata =\n');
for i = 1:NFIR
if (i == NFIR)
fprintf(fid, '%d;\n', hCOE(1,i));
else
fprintf(fid, '%d,\n', hCOE(1,i));
end
end
fclose(fid);
end
if (IS_HDR == 'Y')
fid = fopen ('fir_filter.h', 'w');
fprintf(fid, 'const int BL = %d;\n', NFIR);
fprintf(fid, 'const int B[%d] = {\n', NFIR);
for i = 1:NFIR
if (i == NFIR)
fprintf(fid, '%d}\n', hCOE(1,i));
else
fprintf(fid, '%d,\n', hCOE(1,i));
end
end
fclose(fid);
end

1
Stuff/CIC_Filters/rx_fir_filter.coe 100644
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6.160505e+02,-1.254348e+03,2.073743e+03,-2.985806e+03,3.644942e+03,-3.211210e+03,3.367708e+00,8.935054e+03,-2.840469e+04,6.565131e+04,-1.311256e+05,2.391218e+05,-4.086540e+05,6.639135e+05,-1.035229e+06,1.559089e+06,-2.279361e+06,3.246697e+06,-4.520661e+06,6.168553e+06,-8.270053e+06,1.091595e+07,-1.421878e+07,1.831290e+07,-2.337824e+07,2.964380e+07,-3.743396e+07,4.715353e+07,-5.927002e+07,7.373253e+07,-8.732855e+07,7.814928e+07,7.814928e+07,-8.732855e+07,7.373253e+07,-5.927002e+07,4.715353e+07,-3.743396e+07,2.964380e+07,-2.337824e+07,1.831290e+07,-1.421878e+07,1.091595e+07,-8.270053e+06,6.168553e+06,-4.520661e+06,3.246697e+06,-2.279361e+06,1.559089e+06,-1.035229e+06,6.639135e+05,-4.086540e+05,2.391218e+05,-1.311256e+05,6.565131e+04,-2.840469e+04,8.935054e+03,3.367708e+00,-3.211210e+03,3.644942e+03,-2.985806e+03,2.073743e+03,-1.254348e+03,6.160505e+02

252
Stuff/CIC_Filters/tx.m 100644
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%% ------------------------------------------------------------------------
%
% Title : test_cic.m
% Author : Alexander Kapitanov
% E-mail : sallador@bk.ru
% Version : 1.0
%
% -------------------------------------------------------------------------
%
% Description :
%
% FIR filter compensator to correct freq response after CIC filter.
%
% -------------------------------------------------------------------------
%
% Version : 1.0
% Date : 2017.06.03
%
%% ------------------------------------------------------------------------
%
% GNU GENERAL PUBLIC LICENSE
% Version 3, 29 June 2007
%
% Copyright (c) 2018 Kapitanov Alexander
%
% This program is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% You should have received a copy of the GNU General Public License
% along with this program. If not, see <http://www.gnu.org/licenses/>.
%
% THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
% APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
% HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
% OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
% THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
% PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
% IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
% ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
%
%% ------------------------------------------------------------------------
set(0, 'DefaultAxesFontSize', 11, 'DefaultAxesFontName', 'Times New Roman');
set(0, 'DefaultTextFontSize', 11, 'DefaultTextFontName', 'Times New Roman');
close all;
clear all;
%% ------------------------------------------------------------------------
% ---- CIC Filter Parameters
% ------------------------------------------------------------------------
R = 3350; % Interpolation factor
N = 6; % Number of stages
M = 1; % Differential delay (only 1)
%% ------------------------------------------------------------------------
% ---- FIR filter parameters
% ------------------------------------------------------------------------
NFIR = 64; % Filter order, must be odd when Fo = 0.5 !!!
Bc = 32; % Coef. Bit-width
Fo = 0.49; % Normalized Cutoff: 0.2 < Fo < 0.5;
BETA = 8; % BETA parameter for Kaiser window (if IS_WIND = 'Y')
%% ------------------------------------------------------------------------
% ---- Save data parameters
% ------------------------------------------------------------------------
IS_COE = 'Y'; % create *.COE Xilinx file
IS_HDR = 'N'; % create *.H file (header)
IS_WIND = 'Y'; % use Kaiser Window for FIR corrector
IS_PLOT_IDL = 'Y'; % plot ideal response
IS_PLOT_FIR = 'Y'; % plot FIR filter IR
IS_PLOT_ERR = 'Y'; % plot total error response in passband
%% ------------------------------------------------------------------------
% ---- CIC Compensator Design
% ------------------------------------------------------------------------
NFFT = 2^16; % FFT points for Freq Response (spectrum)
STEP = 1/NFFT; % Step size
w = -pi:2*pi/NFFT:pi-2*pi/NFFT;
ff = 0:1/NFFT:1-1/NFFT;
z = exp(1j * w);
Fc = 1/(2*R);
Fr = Fo/R;
% 1 way:
%HCIC = (1/R * (1-z.^(-R*M))./(1-z.^(-1))).^ N;
% 2 way:
HCIC = (R^-N*abs(1*M*sin(pi*M*R*ff) ./ sin(pi*ff)).^N);
HCICdb = 20 * log10(abs(HCIC));
fp = [0:STEP:Fo]; % Pass band frequency dots
fs = [(Fo+STEP):STEP:0.5]; % Stop band frequency dots
f = [fp fs]*2; % Normalized frequency dots
f(end) = 1;
% Calculate ideal response
Mp = ones(1, length(fp)); % Pass band response; Mp(1) = 1
Mp(2:end) = abs(M * R * sin(pi*fp(2:end)/R) ./ sin(pi*M*fp(2:end))).^(N);
Mf = [Mp zeros(1, length(fs))];
if (IS_PLOT_IDL == 'Y')
figure('name','FIR Ideal Response', 'Numbertitle', 'off')
plot(f/2, Mf, '-.', 'LineWidth', 2, 'Color',[0 0 1]);
title([{'FIR Ideal Response'};{sprintf('Fo = %i',Fo)}]);
xlabel ('Freq (\pi x rad / samples)');
ylabel ('Magnitude');
axis tight;
legend([{sprintf('Fo = %i',Fo)}]);
grid on;
end
% Calculate FIR
hFIR = fir2(NFIR-1, f, Mf); % Filter length NFIR
hFIR = hFIR / max(hFIR); % Double coefficients
hCOE = round(hFIR*(2^(Bc-1)-1)); % Fixed point coefficients
% Windowed FIR (Kaiser with BETA)
if (IS_WIND == 'Y')
WIND = kaiser(NFIR, BETA); % KAISER WINDOW IS USED!
hWIND = fir1(NFIR-1, Fo/R, 'low', WIND);
hNEW = hCOE .* hWIND;% conv2(hCOE,Hwind);
hCOE = hNEW;
end
if (IS_PLOT_FIR == 'Y')
figure('name','FIR Response', 'Numbertitle', 'off')
plot(hFIR, '-', 'LineWidth', 2, 'Color',[1 0 0]);
title([{'FIR Response'};{sprintf('Order = %i',NFIR)}]);
xlabel ('Samples');
ylabel ('Magnitude');
axis tight;
legend([{sprintf('Order = %i',NFIR)}]);
grid on;
end
hFFT = 20 * log10(abs(fft(hCOE, ceil(NFFT/R))));
hFFT = hFFT - max(hFFT);
H_amp = repmat(hFFT, 1, R);
H_amp = H_amp(1:length(ff));
H_amp = H_amp - max(H_amp);
H_comp = HCICdb + H_amp;
H_comp = H_comp - max(H_comp);
%% ------------------------------------------------------------------------
% ---- Plot results
% ------------------------------------------------------------------------
% ---- Figure #1
figure('name','CIC/FIR Frequency Response', 'Numbertitle', 'off')
plot(ff, HCICdb - max(HCICdb), '-.', 'LineWidth', 2, 'Color',[0 0 1]);
hold on;
plot(ff, H_amp, '--', 'LineWidth', 2, 'Color',[0 0.4 0]);
hold on;
plot(ff, H_comp, '-', 'LineWidth', 2, 'Color',[1 0 0]);
hold on;
title([{'CIC, Comp. FIR and Result'};{sprintf('Filter Order = %i, Coef. width = %i',NFIR,Bc)}]);
xlabel ('Freq (\pi x rad / samples)');
ylabel ('Magnitude (dB)');
axis([0 ff(NFFT)/2 -100 5]);
line([Fr Fr], [-400 200], 'LineWidth', 1, 'linestyle', '--', 'Color', [0 0 0]);
line([Fc Fc], [-400 200], 'LineWidth', 1, 'linestyle', '--', 'Color', [0 0 0]);
line([2*Fc 2*Fc], [-400 200], 'LineWidth', 1, 'linestyle', '--', 'Color', [0 0 0]);
legend('CIC filter','Comp. FIR','Sum Response','location','northeast');
grid on;
% ---- Figure #2
figure('name', 'CIC/FIR Frequency Response (Zoom)', 'Numbertitle', 'off')
plot(ff, HCICdb - max(HCICdb), '-.', 'LineWidth', 2, 'Color',[0 0 1]);
hold on;
plot(ff, H_amp, '--', 'LineWidth', 2, 'Color',[0 0.4 0]);
hold on;
plot(ff, H_comp, '-', 'LineWidth', 2, 'Color',[1 0 0]);
hold on;
title([{'CIC, Comp. FIR and Result'};{sprintf('Filter Order = %i, Coef. width = %i',NFIR,Bc)}]);
xlabel ('Freq (\pi x rad / samples)');
ylabel ('Magnitude (dB)');
axis([0 ff(NFFT)/(2*R) -7 1]);
line([Fr Fr], [-400 200], 'LineWidth', 1, 'linestyle', '--', 'Color', [0 0 0]);
grid on;
%% ------------------------------------------------------------------------
% ---- Passband irregularity
% ------------------------------------------------------------------------
if (IS_PLOT_ERR == 'Y')
pass = ceil(0.85*length(H_comp)*Fr);
stp = 0:(0.9*Fr)/pass:(0.9*Fr)-(0.9*Fr)/pass;
stp = stp(2:pass);
Irr = H_comp(2:pass);
Ism = mean(Irr);
Iav = (max(Irr)-min(Irr))/2;
figure('name', 'Passband irregularity', 'Numbertitle', 'off')
plot(stp, Irr, '--', 'LineWidth', 2, 'Color',[0 0 1]);
line([0 (0.9*Fr)], [Ism Ism], 'LineWidth', 2, 'linestyle', '-', 'Color', [0 0 0]);
grid on;
title([{'Passband irregularity'};{sprintf('Mean value = %f',Ism)};{sprintf('Freq error = %f (dB)',Iav)}]);
xlabel ('Freq (\pi x rad / samples)');
ylabel ('Magnitude (dB)');
axis tight;
%axis([0 ff(NFFT)/(2*R) -0.05 1]);
end
%% ------------------------------------------------------------------------
% ---- Save coe data to files
% ------------------------------------------------------------------------
if (IS_COE == 'Y')
fid = fopen ('fir_filter.coe', 'w');
fprintf(fid, 'Radix = 10;\n');
fprintf(fid, 'Coefficient_Width = %d;\n', Bc);
fprintf(fid, 'Coefdata =\n');
for i = 1:NFIR
if (i == NFIR)
fprintf(fid, '%d;\n', hCOE(1,i));
else
fprintf(fid, '%d,\n', hCOE(1,i));
end
end
fclose(fid);
end
if (IS_HDR == 'Y')
fid = fopen ('fir_filter.h', 'w');
fprintf(fid, 'const int BL = %d;\n', NFIR);
fprintf(fid, 'const int B[%d] = {\n', NFIR);
for i = 1:NFIR
if (i == NFIR)
fprintf(fid, '%d}\n', hCOE(1,i));
else
fprintf(fid, '%d,\n', hCOE(1,i));
end
end
fclose(fid);
end

1
Stuff/CIC_Filters/tx_fir_filter.coe 100644
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6.161515e+02,-1.254539e+03,2.074036e+03,-2.986196e+03,3.645380e+03,-3.211562e+03,3.366273e+00,8.935876e+03,-2.840705e+04,6.565619e+04,-1.311343e+05,2.391357e+05,-4.086749e+05,6.639427e+05,-1.035267e+06,1.559137e+06,-2.279419e+06,3.246760e+06,-4.520726e+06,6.168612e+06,-8.270095e+06,1.091596e+07,-1.421874e+07,1.831279e+07,-2.337803e+07,2.964346e+07,-3.743344e+07,4.715279e+07,-5.926900e+07,7.373117e+07,-8.732687e+07,7.814772e+07,7.814772e+07,-8.732687e+07,7.373117e+07,-5.926900e+07,4.715279e+07,-3.743344e+07,2.964346e+07,-2.337803e+07,1.831279e+07,-1.421874e+07,1.091596e+07,-8.270095e+06,6.168612e+06,-4.520726e+06,3.246760e+06,-2.279419e+06,1.559137e+06,-1.035267e+06,6.639427e+05,-4.086749e+05,2.391357e+05,-1.311343e+05,6.565619e+04,-2.840705e+04,8.935876e+03,3.366273e+00,-3.211562e+03,3.645380e+03,-2.986196e+03,2.074036e+03,-1.254539e+03,6.161515e+02

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Stuff/Timers.xlsx 100644
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