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Q#1 Fourier Transform GATE EE 2008 MCQ +2 marks -0.66 marks

A signal  where α is a real constant  is the input to a Linear Time invariant system whose impulse response  where β is a real constant.  If min(α,β) denotes the minimum of α and β, and similarly max(α,β) denotes  the maximum of α and β, and K is a constant, which one of the following statements is true about the output of the system?

It will be of the form  where

It will be of the form  where

It will be of the form

It cannot be a sinc type of signal

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