The impulse response h[n] of an FIR is given by h[0] = h[3], h[1] = h[2], the
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The impulse response h[n] of an FIR is given by h[0] = h[3], h[1] = h[2], the other values are zero.
(a) Find the Z-transform of the filter H(z)and the frequency response H(ejω).
(b) Let h[0] = h[1] = h[2] = h[3] = 1, Determine the zeros of the filter. Determine if the phase ∠H(ejω) of the filter is linear? Explain.
(c) Under what conditions on the values of h[0] and h[1] − h[0] would the phase be linear.
(d) For linear phase, in general, where should the zeros of H(z) be? Explain.
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a Hz h01 z 3 h1z 1 z 2 and the frequency response is b We have using we can write so that the zeros ...View the full answer
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