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State and prove duality property of Fourier transform.
written 7.2 years ago by gravatar for teamques10 teamques10 ★ 70k •   modified 4.4 years ago

Subject : Signals and Systems

Topic : Frequency Domain Analysis of Continuous Signals

Difficulty : Moderate
signals and systems
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written 4.4 years ago by gravatar for teamques10 teamques10 ★ 70k

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written 4.4 years ago by gravatar for teamques10 teamques10 ★ 70k

Duality Property

Statement:

Duality Theorem states that if x(t) has a fourier transform X(w), then if we form a new function of time that has the functional form of the transform X(t), it will have a fourier transform x(w) that has the functional form of the original time function (function of frequency).

Mathematically, it can be written as

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Proof:

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