Question

In: Electrical Engineering

Given a sequence x(n) for 0 ≤ n ≤ 3, where x(0)=4, x(1)=3, x(2)=2, and x(3)=1,...

Given a sequence x(n) for 0 ≤ n ≤ 3, where x(0)=4, x(1)=3, x(2)=2, and x(3)=1, evaluate your DFT X(k)

Expert Solution

The N point DFT of a sequence x[n] is given as

Where

Given

We will evaluate the 4 point DFT. So N = 4

So

For k = 0

For k = 1

So

For k = 2

So

For k = 3

So

So the 4 point DFT is

Verification using MATLAB

Manojponduru answered 2 months ago

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