Question: Consider the system in Figure. The input x[n] and corresponding output x d [n] are given for a specific choice of M/L in each of
Consider the system in Figure. The input x[n] and corresponding output xd[n] are given for a specific choice of M/L in each of the following parts. Determine a choice for M/L based on the information given, and specify whether your choice is unique.
(a) x[n] = sin (π n/3) / (π n/3). xd[n] = sin (5π n/6) / (5π n/6)
(b) x[n] = cos (3π n/4). xd[n] = cos(π n/2)
![Interpolator Decimator Lowpass filter Gain = 1 Cutoff = 1!M ä,(1)] Lowpass filter Gain = L. Cutoff = niL | x,
] x;(n}](https://dsd5zvtm8ll6.cloudfront.net/si.question.images/images/question_images/1549/9/6/6/9635c629e73cb1e01550013890836.jpg)
Interpolator Decimator Lowpass filter Gain = 1 Cutoff = 1!M ,(1)] Lowpass filter Gain = L. Cutoff = niL | x, ] x;(n} x(n] Sampling period: T L. L. L. (a) Lowpass filter Gain = L Cutoff = min (7/L, T/M) x[n] x[n] Sampling period: TM L. L. (b)
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