A sequence is defined by the relationship r[n] = [h[m]h[n+m]=hn*h-n where h[n] is a minimum-phase sequence and r[n]= 4 4 (u[n]+ 12" [n-1] 3 (a) Find R(z) and sketch the pole-zero diagram. (b) Determine the minimum-phase sequence h[n] to within a scale factor of ±1. Also, determine the z-transform H(z) of h[n].

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A sequence is defined by the relationship
r[n] = [h[m]h[n+m]=hn*h-n
where h[n] is a minimum-phase sequence and
r[n]=
4
4
(u[n]+ 12" [n-1]
3
(a) Find R(z) and sketch the pole-zero diagram.
(b) Determine the minimum-phase sequence h[n] to within a scale factor of ±1.
Also, determine the z-transform H(z) of h[n].
Transcribed Image Text:A sequence is defined by the relationship r[n] = [h[m]h[n+m]=hn*h-n where h[n] is a minimum-phase sequence and r[n]= 4 4 (u[n]+ 12" [n-1] 3 (a) Find R(z) and sketch the pole-zero diagram. (b) Determine the minimum-phase sequence h[n] to within a scale factor of ±1. Also, determine the z-transform H(z) of h[n].
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