Asked Jan 17, 2020

In relation with discrete Fourier transform, if 2 point DFT of a sequence x[n] is required, then construct the corresponding W2x2 matrix and also show the value of its elements.


Expert Answer

Step 1

Considering a sampled and periodic signal x(n). Its DFT is given as:

Electrical Engineering homework question answer, step 1, image 1
Step 2

The twiddle factor (W) is defined as follows:

Electrical Engineering homework question answer, step 2, image 1
Step 3

The expression of matrix W2×2 for 2-point DFT ( N=2...

Electrical Engineering homework question answer, step 3, image 1

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