EC > GATE 2019 > Digital Filters
It is desired to find a three-tap causal filter which gives zero signal as an output to an input of the form x[n]=c1exp(-jπn/2)+c2exp(jπn/2) where c1 and c2 are arbitrary real numbers. The desired three-tap filter is given by h[0]=1, h[1]=a, h[2]=b, and h[n]=0 for n<0 or n>2. What are the values of the filter taps a and b if the output is y[n]=0 for all n, when x[n] is as given above?
Correct : d
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