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

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

| X(ei) -27 2.

(a) Sampler:

Note that

(b) Compressor:

yd[n] = x[2n].

(c) Expander:

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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