Question: Linear convolution using (mathrm{f} f t) in MATLAB. (a) Use the (mathrm{fft}) command to determine the linear convolution between two given signals (x(n)) and (h(n)).

Linear convolution using \(\mathrm{f} f t\) in MATLAB.

(a) Use the \(\mathrm{fft}\) command to determine the linear convolution between two given signals \(x(n)\) and \(h(n)\).

(b) Compare the function you have created in (a) with the conv and filter commands with respect to the output signal and to the total number of flops required to convolve the two signals of orders \(N\) and \(K\), respectively.

(c) Verify your results experimentally (using the command \(\mathrm{flops}\) ) for general values of \(N\) and \(K\). (b) Repeat (c) considering solely the values of \(N\) and \(K\) such that \((N+K-1)\) is a power of two.

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