Suppose that you obtained a sequence s[n] by filtering a speech signal sc(t) with a continuous-time lowpass

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Suppose that you obtained a sequence s[n] by filtering a speech signal sc(t) with a continuous-time lowpass filter with a cutoff frequency of 5 kHz and then sampling the resulting output at a 10-kHz rate, as shown in Figure. Unfortunately, the speech signal sc(t) was destroyed once the sequence s[n] was stored on magnetic tape. Later, you find that what you should have done is followed the process shown in Figure. Develop a method to obtain s1[n] from s[n]using discrete-time processing. Your method may require a very large amount of computation, but shout not require a C/D or D/C converter. If you method uses a discrete-time filter, you should specify the frequency response of the filter.

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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