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Q#1 Fourier Transform GATE EC 2019 MCQ +2 marks -0.66 marks

It is desired to find a three-tap causal filter which gives zero signal as an output to an input of the form.

        

where  and  are arbitrary real numbers, The desired three-tap filter is given by

 and  

What are the values of the filter taps a and b if the output is  for all n, when  is as given above?

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