Consider a frequency selective channel with two path given by the discrete-time impulse response h(n) = 8 (n) + (a/10) 8 (n-1)+(b/20) 8 (n-2), where 8 is the unit impulse (see figure below). The signal transmitted through this channel is shown in the figure below. 2 a 10 2 Channel impulse response Transmitted signal 1) Write the frequency response (in the Z domain) of the channel. 2) Write an expression for the frequency response (Z domain) of the ideal zero-forcing equalizer. 3) Find a 2 tap finite impulse response equalizer that approximates the ideal zero forcing equalizer. 4) Sketch the transmitted signal at the output of the channel. 5) Sketch the signal after processing by the equalizer.