The intention of the following Matlab program is to filter a sinusoid using the conv function.
omega = pi/6;nn = [0:29];xn = cos(omega*nn - pi/4);bb = [ 1 0 0 1 ];yn = conv( bb, xn );
(a) Determine H(z) and the zeros of the FIR filter.
(b) Determine a formula for y[n], the signal contained in the vector yn. Ignore the first few points, so your formula must be conect only for n ≥ 3. This formula should give numerical values for the amplitude, phase and frequency of y[n].
(c) Give a value of omega such that the output is guaranteed to be zero, for n ≥ 3.
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