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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
x[n] is a real-valued finite-length sequence of length 512, i.e.,

In storing the data, one data point at most may have been corrupted. Specifically, if s[n] denotes the stored data,s[n] = x[n] except possibly at one unknown memory location n0. To test and possibly correct the data, you are able to examine S[k], the 512-point DFT of s[n].
(a) Specify whether, by examining S[k], it is possible and if so, how, to detect whether an error has been made in one data point, i.e., whether or not s[n] = x[n] for all n. In parts (b) and (c), assume that you know for sure that one data point has been corrupted, i.e., that s[n] = x[n] except at n = n0.
(b) In this part, assume the value of n0 is unknown. Specify a procedure for determining from S[k] the value of n0.
(c) In this part, assume that you know the value of n0. Specify a procedure for determining x[n0] from S[k].
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