Consider a real valued sequence x n for which X(e j ) 0, 3 One value of x n may have been corrupted, and we would like to approximately or exactly recover it With x n denoting the corrupted signal, x n x n for n n 0 , and x n 0 is real but not related to x n 0 In each of the following three cases, specify a practical algorithm for exactly or approximately recovering x n from x n (a) The value of n 0 is known (b) The exact value of n 0 is not known, but we know that n 0 is an even number (c) Nothing about n 0 is known

Question: Consider a real-valued sequence x[n] for which X(e j ) = 0, /3 || . One value of x[n] may have been corrupted,

Consider a real-valued sequence x[n] for which

X(e^jω) = 0, π/3 ≤ |ω| ≤ π.

One value of x[n] may have been corrupted, and we would like to approximately or exactly recover it. With x[n] denoting the corrupted signal,

x[n] = x[n] for n ≠ n₀,

and x[n₀] is real but not related to x[n₀]. In each of the following three cases, specify a practical algorithm for exactly or approximately recovering x[n] from x[n]:

(a) The value of n₀ is known.

(b) The exact value of n₀is not known, but we know that n₀is an even number.

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