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Solved Examples - Discrete Fourier Transform Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE)

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Example 1

Verify Parseval’s theorem of the sequence  Solved Examples - Discrete Fourier Transform Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE)

SolutionSolved Examples - Discrete Fourier Transform Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE)

Solved Examples - Discrete Fourier Transform Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE)
Solved Examples - Discrete Fourier Transform Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE)

Solved Examples - Discrete Fourier Transform Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE)
Solved Examples - Discrete Fourier Transform Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE)

We can see that, LHS = RHS.(Hence Proved)

Example 2

Compute the N-point DFT of x(n) = 3δ(n)

Solution − We know that,

So,  Solved Examples - Discrete Fourier Transform Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE)

Example 3

Compute the N-point DFT of x(n) = 7(n−n0)

Solution − We know that,

Solved Examples - Discrete Fourier Transform Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE)

Substituting the value of x(n),

Solved Examples - Discrete Fourier Transform Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE)

The document Solved Examples - Discrete Fourier Transform Notes | Study Signals and Systems - Electronics and Communication Engineering (ECE) is a part of the Electronics and Communication Engineering (ECE) Course Signals and Systems.
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