The signals x[n] and g[n] are known to have Fourier transforms , respectively furthermo...

The signals x[n] and g[n] are known to have Fourier transforms , respectively furthermore are related as follows:

(a) If , detemine a sequence g[n] such that its Fourier transform determine a sequence g[n] such that its fourier transform satisfies eq. (P5.28-1). Are there other possible solutions for g[n]?

(b) Repeat the previous part for .

5.29. (a) Consider a discrete-time LT1 system with impulse response h[n] = (-2j Kid. Use Fourier transforms to determine the response to each of the folio signals:

(i) x[n] = u[n] (ii) x[n] — (n + 1 )( 4-10"u[n] x[n] I )" (b) Suppose that

h[n]=[(2-)7 cos (TIT n u[n]. Use Fourier transforms to determine the response to each of the fb puts: (i) x[n] = (4)"u[n] (ii) x[n] cos(arn/2) (c) Let .4n) and h[n] be signals with the following Fourier transforms:. X(ein 3e-lw + I - J -