diff options
| author | Author Name <[email protected]> | 2023-07-07 12:20:59 +0930 |
|---|---|---|
| committer | David Rowe <[email protected]> | 2023-07-07 12:29:06 +0930 |
| commit | ac7c48b4dee99d4c772f133d70d8d1b38262fcd2 (patch) | |
| tree | a2d0ace57a9c0e2e5b611c4987f6fed1b38b81e7 /octave/make_hilb.m | |
shallow zip-file copy from codec2 e9d726bf20
Diffstat (limited to 'octave/make_hilb.m')
| -rw-r--r-- | octave/make_hilb.m | 60 |
1 files changed, 60 insertions, 0 deletions
diff --git a/octave/make_hilb.m b/octave/make_hilb.m new file mode 100644 index 0000000..6c6323c --- /dev/null +++ b/octave/make_hilb.m @@ -0,0 +1,60 @@ +% make_hilb.m +% David Rowe May 2015 +% +% creates Hilber Transformer FIR coeffs + +graphics_toolkit ("gnuplot"); + +% from https://www.dsprelated.com/freebooks/sasp/Hilbert_Transform_Design_Example.html + +M = 257; % window length = FIR filter length (Window Method) +fs = 8000; % sampling rate assumed (Hz) +f1 = 100; % lower pass-band limit = transition bandwidth (Hz) +beta = 8; % beta for Kaiser window for decent side-lobe rejection +fn = fs/2; % Nyquist limit (Hz) +f2 = fn - f1; % upper pass-band limit +N = 2^(nextpow2(8*M)); % large FFT for interpolated display +k1 = round(N*f1/fs); % lower band edge in bins +if k1<2, k1=2; end; % cannot have dc or fn response +kn = N/2 + 1; % bin index at Nyquist limit (1-based) +k2 = kn-k1+1; % high-frequency band edge +f1 = k1*fs/N % quantized band-edge frequencies +f2 = k2*fs/N +w = kaiser(M,beta)'; % Kaiser window in "linear phase form" +H = [ ([0:k1-2]/(k1-1)).^8,ones(1,k2-k1+1),... + ([k1-2:-1:0]/(k1-1)).^8, zeros(1,N/2-1)]; +h = ifft(H); % desired impulse response +hodd = imag(h(1:2:N)); % This should be zero + +% put window in zero-phase form: +wzp = [w((M+1)/2:M), zeros(1,N-M), w(1:(M-1)/2)]; +hw = wzp .* h; % single-sideband FIR filter, zero-centered +Hw = fft(hw); +hh = [hw(N-(M-1)/2+1:N),hw(1:(M+1)/2)]; % causal FIR +hh *= 2; + +figure(1); +HH = fft([hh,zeros(1,N-M)]); +plot(20*log10(abs(HH))); +figure(2); +subplot(211); plot(real(hh)); title('real imp resp'); +subplot(212); plot(imag(hh)); title('imag imp resp'); + +% save coeffs to a C header file + +f=fopen("../src/ht_coeff.h","wt"); +fprintf(f,"/* Hilbert Transform FIR filter coeffs */\n"); +fprintf(f,"/* Generated by make_hilb Octave script */\n"); + +fprintf(f,"\n#define HT_N %d\n\n", M); + +fprintf(f,"COMP ht_coeff[]={\n"); +for r=1:M + if r < M + fprintf(f, " {%f,%f},\n", real(hh(r)), imag(hh(r))); + else + fprintf(f, " {%f,%f}\n};", real(hh(r)), imag(hh(r))); + end +end + +fclose(f); |
