Let x[n] and X (ejω) represent a sequence and its Fourier transform, respectively. Deter...

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 ys [n], yd [n], and ye[n] as defined below. In each case, sketch the corresponding output Fourier transform Ys (e^jω), Yd (e^jω), and Ye (e^jω), respectively for X (e^jω) as shown in Figure P2.85.

(a) Sampler:

(b) Compressor:

y d[n] = x[2n].

(c) Expander: