Question: Implement the filter with transfer function given by
H(z) = 0.4 - 0.8z-1 + 0.4z-2
with finite-precision arithmetis given by
(-1)s x (0 + 0.significand)
where the significand represents the decimal fraction of the coefficients and is limited to 3 bits with 1 bit allocated for the sign. Compare the magnitude response of the original filter with the magnitude response of the filter implemented with finite-precision representation.