It is desired to find a three-tap causal filter which gives zero signal as an output to an input of the form
where c1 and c2 are arbitrary real numbers.
The desired three-tap filter is given by
h = 1, h = a, h = 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?