How to create linear phase filters for filter bank?

7 visualizzazioni (ultimi 30 giorni)
I tried firpr2chfb function as follows
N = 19;
[h0,h1,g0,g1] = firpr2chfb(N,.45);
fvtool(h0, 1, h1, 1)
I have something like, and I don't think these are linear phase filters

Risposte (1)

Mathieu NOE
Mathieu NOE il 16 Dic 2021
hello
the phase roll rate must be constant like in the example below
%% define filters
fs = 10000;
freq = linspace(100,(fs/2),500);
% 1 - LPF FIR / cutoff frequency 3 KHz
N = 64;
fc_lp = 1000;
B_lp = fir1(N,2*fc_lp/fs);
h_lp=freqz(B_lp,1,freq,fs);
m_lp=20*log10(abs(h_lp));
% 2 - BPF FIR / cutoff frequencies 2 and 5 KHz
N = 64;
fc_low = 1000;
fc_high = 3000;
B_bp = fir1(N,2*[fc_low fc_high]/fs);
h_bp=freqz(B_bp,1,freq,fs);
m_bp=20*log10(abs(h_bp));
% 3 - HPF FIR / cutoff frequency 4 KHz
N = 64;
fc_high = 3000;
B_hp = fir1(N,2*fc_high/fs,'high');
h_hp=freqz(B_hp,1,freq,fs);
m_hp=20*log10(abs(h_hp));
figure(1),
subplot(211),plot(freq,m_lp,freq,m_bp,freq,m_hp);
title('FIR Filters Response');
ylabel('Gain in dB');
legend('LPF','BPF','HPF');
subplot(212),plot(freq,180/pi*angle(h_lp),freq,180/pi*angle(h_bp),freq,180/pi*angle(h_hp));
ylabel('Phase(°)');
xlabel('Frequency (Hz)');
legend('LPF','BPF','HPF');
  2 Commenti
soso maths
soso maths il 16 Dic 2021
Thank you @Mathieu NOE, this is for the synthesis part, what about the analysis part? How can we compute the group delay of the filter bank in terms of filter length N and number of channels M?
Mathieu NOE
Mathieu NOE il 17 Dic 2021
hello
as far as I remember , linear-phase FIR filter overall group delay is (N-1)/2 where N is the length of the filter
I don't see where the channel number's has an impact on group delay

Accedi per commentare.

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by