Does freqz give the Fourier Transform ??
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Hi i am having this code
h770=[];
L=50;
fs=8000;
fb=770;
h770 = (2/L)*cos(2*pi*fb*(0:L-1)/fs);
fs=8000;
ww=0:(pi/256):pi;
ff=ww/(2*pi)*fs;
H=freqz(h770,1,ww);
plot(ff,abs(H));
grid on;
xlabel('Frequency')
ylabel('Magnitude')
title('Frequency Response of h770')
Is this the fourier transform? Does freq response and fourier transform are same thing?
1 commentaire
Wayne King
le 1 Nov 2011
The frequency response of a system, or a filter, is the Fourier transform of its impulse response.
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Wayne King
le 1 Nov 2011
You're right. It's just a matter of terminology. We don't say the frequency response of a signal, we say the frequency response of a system, or operator (filter). The frequency response IS the Fourier transform of the system's impulse response, or equivalently stated, the z-transform of the system's impulse response evaluated on the unit circle.
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Daniel Shub
le 1 Nov 2011
Yes and no. The way your are doing it no, but it can be made to do it.
x = randn(10, 1);
X = fft(x);
Y = freqz(x, 1, length(x), 'whole');
isequal(Y, X)
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