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Q#1 Fourier Transform GATE EC 2020 MCQ +2 marks -0.66 marks

A finite duration discrete-time signal  is obtained by sampling the continuous-time signal  at sampling instants , . The 8 -point discrete Fourier transform (DFT) of  is defined as

 

Which one of the following statements is true?

Only  and  are non-zero

Only  and  are non-zero

All  are non-zero

Only  is non-zero

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