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For a given 8-point discrete signal x(n), the Fourier equivalentis given as X(k)= {36, 4 - j9.656, -4 + j4, 4 - j1.6569, -4}. FindX(k) for k= 5, 6 and 7

Question

For a given 8-point discrete signal x(n), the Fourier equivalent is given as:

X(k) = { 36, 4 - j9.656, -4 + j4, 4 - j1.6569, -4 }

Find X(k) for k = 5, 6 and 7.

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Solution

To find X(k) for k = 5, 6, and 7, we need to refer to the given Fourier equivalent X(k) = {36, 4 - j9.656, -4 + j4, 4 - j1.6569, -4}.

Step 1: Determine the values of X(k) for k = 5, 6, and 7.

For k = 5, X(5) = ?

For k = 6, X(6) = ?

For k = 7, X(7) = ?

Step 2: Substitute the values of k into the given Fourier equivalent X(k).

For k = 5, X(5) = 4 - j1.6569

For k = 6, X(6) = -4

For k = 7, X(7) = Not given in the given Fourier equivalent.

This problem has been solved

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