My assignment is to write a Matlab program that generates sounds using parametric resonators. The ultimate goal is to produce an interesting sound built from concatenated and/or summed outputs from these second order resonators. I can start with an 8kHz sample rate and produce decaying tones at frequencies of my choice. I need to plot some pulse responses and frequency responses.
I believe I have the frequency response at 8K Hz using the freqz() function. I'm not sure how to get the impulse response. Here is my code so far:
% Resonance program in matlab
fs=input('please enter a value for fs'); % Audio sampling rate (Hz)
N = 2*fs; % 2 seconds of data, time length
w0 = pi/8; % frequency – 16 cycles to go around unit circle
R = .999;
a1 = -2.*R.*cos(w0);
a2 = R*R;
G = (1-R).*sqrt(1-2*R*cos(2*w0)+R*R);
b0= G;
b = b0; % feed forward
a = [1 a1 a2]; % feedback
[H,w]=freqz(b,a,2^12);
plot(w, abs(H));
xlabel('Radians per Sample');
ylabel('Magnitude');
title('Frequency Response at 8000 Hz');
I = filter(b,a,[1,zeros(1,500)]); %impulse response
stem ([0:500],I);
xlabel('Samples');
ylabel('Amplitude');
title('Impulse Response at 8000 Hz');
pls=[1 zeros(1,N-1)]';
hpls=filter(b,a,pls);
plot (hpls);
soundsc(hpls, fs);
xlabel('radians per sample');
ylabel('Magnitude');
title('Sound for 2 Second');
Thanks in advance!
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