diff --git a/test_data/WriteImpulse.m b/test_data/WriteImpulse.m new file mode 100644 index 0000000..2f42e16 --- /dev/null +++ b/test_data/WriteImpulse.m @@ -0,0 +1,97 @@ + +%this requires signal 1.4.4 because there is a bug in the previous version where zp2sos function return wrong result! +pkg load signal + +clear all +close all +fs = 39e3; +fs2 = fs / 2; +n = 1000; +impulse = [1,zeros(1, n-1)]; +step = fs/n; +x = 0:step:fs - step; +f0 = 200; +Q = 1.4; +N = 8; + +%HP filter +[z, p, k] = butter ( N, f0 / fs2, "high" ); +sos = zp2sos(z, p, k); +filtered = sosfilt(sos, impulse); +csvwrite("impulse_response/HPimpulse.csv", [2, fs, f0, Q, n, filtered]); + +%LP filter +[z, p, k] = butter ( N, f0 / fs2 ); +sos = zp2sos(z, p, k); +filtered = sosfilt(sos, impulse); +csvwrite("impulse_response/LPimpulse.csv", [1, fs, f0, Q, n, filtered]); + +%BP filter +[f1, f2] = findIIRCutoffFreq(fs, f0, Q); +[z, p, k] = butter( N/2, [f1 / fs2, f2 / fs2] ); +sos = zp2sos(z, p, k); +filtered = sosfilt(sos, impulse); +csvwrite("impulse_response/BPimpulse.csv", [3, fs, f0, Q, n, filtered]); + +clear all +close all +fs = 39e3; +fs2 = fs / 2; +n = 1000; +impulse = [1,zeros(1, n-1)]; +step = fs/n; +x = 0:step:fs - step; +f0 = 2000; +Q = 0.8; +N = 8; + +%HP filter +[z, p, k] = butter ( N, f0 / fs2, "high" ); +sos = zp2sos(z, p, k); +filtered = sosfilt(sos, impulse); +csvwrite("impulse_response/HPimpulse2.csv", [2, fs, f0, Q, n, filtered]); + +%LP filter +[z, p, k] = butter ( N, f0 / fs2 ); +sos = zp2sos(z, p, k); +filtered = sosfilt(sos, impulse); +csvwrite("impulse_response/LPimpulse2.csv", [1, fs, f0, Q, n, filtered]); + +%BP filter +[f1, f2] = findIIRCutoffFreq(fs, f0, Q); +[z, p, k] = butter( N/2, [f1 / fs2, f2 / fs2] ); +sos = zp2sos(z, p, k); +filtered = sosfilt(sos, impulse); +csvwrite("impulse_response/BPimpulse2.csv", [3, fs, f0, Q, n, filtered]); + +clear all +close all +fs = 39e3; +fs2 = fs / 2; +n = 1000; +impulse = [1,zeros(1, n-1)]; +step = fs/n; +x = 0:step:fs - step; +f0 = 15000; +Q = 2.0; +N = 8; + +%HP filter +[z, p, k] = butter ( N, f0 / fs2, "high" ); +sos = zp2sos(z, p, k); +filtered = sosfilt(sos, impulse); +csvwrite("impulse_response/HPimpulse3.csv", [2, fs, f0, Q, n, filtered]); + +%LP filter +[z, p, k] = butter ( N, f0 / fs2 ); +sos = zp2sos(z, p, k); +filtered = sosfilt(sos, impulse); +csvwrite("impulse_response/LPimpulse3.csv", [1, fs, f0, Q, n, filtered]); + +%BP filter +[f1, f2] = findIIRCutoffFreq(fs, f0, Q); +[z, p, k] = butter( N/2, [f1 / fs2, f2 / fs2] ); +sos = zp2sos(z, p, k); +filtered = sosfilt(sos, impulse); +csvwrite("impulse_response/BPimpulse3.csv", [3, fs, f0, Q, n, filtered]); + diff --git a/test_data/findIIRCutoffFreq.m b/test_data/findIIRCutoffFreq.m new file mode 100644 index 0000000..02ecffb --- /dev/null +++ b/test_data/findIIRCutoffFreq.m @@ -0,0 +1,37 @@ + +%finds approximate cutoff frequency using eq 8-12 pg 90 of DSP filters book +%first find f1 and then uses the relationship with Q and f0 to find f2 +function [f1, f2] = findIIRCutoffFreq(fs, f0, Q) + + theta0 = 2 * pi * f0 / fs; + beginTheta = 0; + endTheta = theta0; + if (theta0 > 0.01) + step = 0.01; + elseif (theta0 > 1e-4) + step = 1e-4; + else + step = 1e-6; + endif + + while(step > 1e-16) + x = beginTheta : step : endTheta; + result = (sin(x) .* tan(theta0 ./ (2 .* Q))) ./ sqrt((sin(x) .* tan(theta0 ./ (2 .* Q))).^2 + (cos(x) - cos(theta0)).^2) - 1/sqrt(2); + %indicate zero crossing with sign change + signResult = sign(result); + + %technically possible we could have a step land right on zero so check for it + if (isempty(find(signResult == 0)) == false) + beginTheta = (find(signResult == 0, 1) - 1) * step + beginTheta; + break; + endif + + endTheta = (find(signResult == 1, 1) - 1) * step + beginTheta; + beginTheta = endTheta - step; + step = step * 0.01; + endwhile + + f1 = beginTheta * fs / (2 * pi); + f2 = f0 / Q + f1; + +endfunction diff --git a/test_data/impulse_response/BPimpulse.csv b/test_data/impulse_response/BPimpulse.csv index 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diff --git a/test_data/impulse_response/BPimpulse2.csv b/test_data/impulse_response/BPimpulse2.csv index fd91613..31a8051 100644 --- a/test_data/impulse_response/BPimpulse2.csv +++ b/test_data/impulse_response/BPimpulse2.csv @@ -1 +1 @@ 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diff --git a/test_data/impulse_response/BPimpulse3.csv b/test_data/impulse_response/BPimpulse3.csv index 5977ed0..23ad15e 100644 --- a/test_data/impulse_response/BPimpulse3.csv +++ b/test_data/impulse_response/BPimpulse3.csv @@ -1 +1 @@ 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diff --git a/test_data/impulse_response/HPimpulse.csv b/test_data/impulse_response/HPimpulse.csv index e752169..2de5de9 100644 --- a/test_data/impulse_response/HPimpulse.csv +++ b/test_data/impulse_response/HPimpulse.csv @@ -1 +1 @@ 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diff --git a/test_data/impulse_response/HPimpulse2.csv b/test_data/impulse_response/HPimpulse2.csv index 412b8e5..d94cf8f 100644 --- a/test_data/impulse_response/HPimpulse2.csv +++ b/test_data/impulse_response/HPimpulse2.csv @@ -1 +1 @@ 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diff --git a/test_data/impulse_response/HPimpulse3.csv b/test_data/impulse_response/HPimpulse3.csv index 0655312..8e5b4e3 100644 --- a/test_data/impulse_response/HPimpulse3.csv +++ b/test_data/impulse_response/HPimpulse3.csv @@ -1 +1 @@ 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diff --git a/test_data/impulse_response/LPimpulse.csv b/test_data/impulse_response/LPimpulse.csv index a1c4425..715978b 100644 --- a/test_data/impulse_response/LPimpulse.csv +++ b/test_data/impulse_response/LPimpulse.csv @@ -1 +1 @@ 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diff --git a/test_data/impulse_response/LPimpulse2.csv b/test_data/impulse_response/LPimpulse2.csv index a1f612c..6cbcc51 100644 --- a/test_data/impulse_response/LPimpulse2.csv +++ b/test_data/impulse_response/LPimpulse2.csv @@ -1 +1 @@ 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diff --git a/test_data/impulse_response/LPimpulse3.csv b/test_data/impulse_response/LPimpulse3.csv index 0da079b..2ceb51c 100644 --- a/test_data/impulse_response/LPimpulse3.csv +++ b/test_data/impulse_response/LPimpulse3.csv @@ -1 +1 @@ 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