Distortion removal. a binary signal is sent over an imperfect channel which introduces distortion. the channel can be modeled as a discrete-time lti system with the transfer function h(z) = 1 − 2.5 z −1 + z −2 1 − z−1 + 0.7 z−2 . (a) determine the impulse response g(n) of the stable inverse of h(z). you may use the residue command in matlab. (b) using matlab, make a stem plot of h(n), g(n), and h(n) ∗ g(n). check that you get an impulse. (c) using matlab (freqz) plot |hf (ω)| and |gf (ω)|, the magnitudes of the frequency responses. also plot the product |hf (ω) · gf (ω)|. what do you expect to get for the product? explain. (d) the binary signal x(