(1) Consider the discrete-time signal r(n), with Fourier transform given by N(ejw) D(ejw)' X(ej") = where N(ej") = 1.5 + 0.375e¬jw – 0.9e-j2w, and D(e") = 0.25 + 0.6750e¬jw – 1.2e¯j2w + 0.4e-j3w (a) From the above information, find X(z), the z-transform of x(n).

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(1) Consider the discrete-time signal a(n), with Fourier transform given by
X(e «) =
N(ej")
D(ejw)'
where
N(e") = 1.5 + 0.375e¬jw .
0.9e-j2w
%3D
and
D(e") = 0.25 + 0.6750e¬jw – 1.2e¬j2w + 0.4e¬j3w.
(a) From the above information, find X(z), the z-transform of x(n).
Transcribed Image Text:(1) Consider the discrete-time signal a(n), with Fourier transform given by X(e «) = N(ej") D(ejw)' where N(e") = 1.5 + 0.375e¬jw . 0.9e-j2w %3D and D(e") = 0.25 + 0.6750e¬jw – 1.2e¬j2w + 0.4e¬j3w. (a) From the above information, find X(z), the z-transform of x(n).
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