Given the following pulse-response samples:

p_c (-4T) = 0; p_c (-3T) = -1/9;

p_c (-2T) = 1/2; p_c (-T) = -1;

p_c (0) = 1/2; p_c (T) = -1;

p_c (2T) = 1/2; p_c (3T) = -1/9;

p_c (4T) = 0

(a) Find the tap coefficients for a three-tap zero forcing equalizer. Plot the equalizer input and output samples.
(b) Find the tap coefficients for a five-tap zero forcing equalizer. Plot the equalizer input and output samples. Calculate the noise-enhancement factor in dB. Plot the frequency response function of the equalizer.