Solve the following problem:
The transmission of a signal pulse with a raised cosine spectrum through a channel results in the following (noise-free) sampled output from the demodulator:
xk = {-0.5 k = -2
{ 0.1 k = -1
{ 1 k = 0
{-0.2 k = 1
{ 0.05 k = 2
{ 0 otherwise
a. Determine the tap coefficients of a three-tap linear equalizer based on the zero-forcing criterion.
b. For the coefficients determined in (a), determine the output of the equalizer for the case of the isolated pulse. Thus, determine the residual ISI and its span in time.