Let the input and the impulse response of an FIR filter be (a) Use the two-dimensional convolution

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Let the input

бт, п] + 25(m — 1, п] + 36|т — 2, п] + 46(m, п — 1] + 56(т - 1, п — 1] + 66|m - 2, п — 1] гm, п] +


and the impulse response of an FIR filter be

|h m, п] %3D бт, п] + бm — 1, п] — б[т, п — 1]— 6\т — 1, п — 1]


(a) Use the two-dimensional convolution function conv2 to find the output y[m; n].

(b) Is the impulse response separable, i.e., h[m; n] = h1[m]h2[n]? If so, determine the onedimensional impulse responses h1[m], and h2[n] and use them to verify the above result.

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Signals and Systems using MATLAB

ISBN: 978-0128142042

3rd edition

Authors: Luis Chaparro, Aydin Akan

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