Let x[n] and X(e j ) represent a sequence and its Fourier transform, respectively. Determine in terms of X(e j ), the transforms of y

Let x[n] and X(e^jω) represent a sequence and its Fourier transform, respectively. Determine in terms of X(e^jω), the transforms of y_s[n], y_d[n], and y_e[n] In each case, sketch y(e^jω) for X(e^jω) as shown in Figure.

(a) Sampler:

Note that

(b) Compressor:

y_d[n] = x[2n].

(c) Expander:

| X(ei) -27 2.