Designing a three-tap zero-forcing linear equalizer

Question

Solve the following problem:

Repeat Problem 1 using the MSE as the criterion for optimizing the tap coefficients. Assume that the noise power spectral density is 0.1 W/Hz.

Problem 1: Binary PAM is used to transmit information over an unequalized linear filter channel. When a = 1 is transmitted, the noise-free output of the demodulator is

x_m = {0.3     m = 1
         {0.9     m = 0
         {0.3     m = -1
         {0       otherwise

a. Design a three-tap zero-forcing linear equalizer so that the output is

q_m = {1     m = 0
        {0     m = ±1

b. Determine q_m for m = ±2, ±3, by convolving the impulse response of the equalizer with the channel response.