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Electrical EngineeringQ&A LibraryRequired informationConsider the following sequence of data(x[0], x[1], x[2], x[3]) = (4,4,1,–2)Without using a computer, find the forward DFT of the given sequence of data.The values of the components of the forward DFT are X[0]D. x[1) =(Click to select) . X[2) =[). and X[3] = (Cick to select)|Question

Asked Mar 24, 2020

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Step 1

From the given data, the length of the sequence is 4.

Since, the DFT for the *x(n)* is expressed as:

Step 2

Substituting the known values in the above equation.

Hence, the DFT at the desired value can be evaluated using the above expression.

At, *K*=0:

Step 3

Similarly,

At, *K*=1:

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