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Extra resources for Signal Processing Toolbox. For Use with MATLAB. User's Guide
Example text
Freqz can accept other parameters, such as a sampling frequency or a vector of arbitrary frequency points. The example below finds the 256-point frequency response for a 12th-order Chebyshev type I filter. The call to freqz specifies a sampling frequency Fs of 1000 Hz. 5,200/500); [h,f] = freqz(b,a,256,1000); Because the parameter list includes a sampling frequency, freqz returns a vector f that contains the 256 frequency points between 0 and Fs/2 used in the frequency response calculation. 1-24 Frequency Response Frequency Normalization This toolbox uses the convention that unit frequency is the Nyquist frequency, defined as half the sampling frequency.
And phase To plot the magnitude and phase f = (0:length(y)–1)*99/length(y); % frequency vector plot(f,m) set(gca,'XTick',[15 40 60 85]); plot(f,p*180/pi) set(gca,'XTick',[15 40 60 85]); 50 0 40 -500 30 20 -1000 10 0 15 40 60 85 -1500 15 40 60 85 A second argument to fft specifies a number of points n for the transform, representing DFT length. y = fft(x,n); In this case, fft pads the input sequence with zeros if it is shorter than n, or truncates the sequence if it is longer than n. If n is not specified, it defaults to the length of the input sequence.
The speed of this algorithm depends on both the size of n and number of prime factors it has. Although 1013 and 1000 are close in magnitude, fft transforms a sequence of length 1000 much more quickly than a sequence of length 1013. • For a prime number n, fft cannot use an FFT algorithm, and instead performs the slower, computation-intensive DFT directly. The inverse discrete Fourier transform function ifft also accepts an input sequence and, optionally, the number of desired points for the transform.