Determine tap coefficients of a three-tap linear equalizer

Question

Solve the following problem:

A non ideal band-limited channel introduces ISI over three successive symbols. The (noise free) response of the matched filter demodulator sampled at the sampling time k_T is

∫^∞-_∞  s(t)s(t - kT) dt = {ε_b      k = 0
                                   {0.9ε_b   k = ±1
                                   {0.1ε_b   k = ± 2
                                   {0       otherwise

a. Determine the tap coefficients of a three-tap linear equalizer that equalizes the channel (received signal) response to an equivalent partial-response (duobinary) signal

y_k = {εb     k = 0, 1
       {0      othertwise

b. Suppose that the linear equalizer in (a) is followed by a Viterbi sequence detector for the partial signal. Give an estimate of the error probability if the additive noise is white and Gaussian, with power spectral density ½N₀ W/Hz.