Question 1 26 marks A message m(t) with bandwidth W is transmitted over a channel with frequency response 1 1 H(S) j2nf +10 j2nf + 20' to yield an output signal y(t). Let B denote the 3dB bandwidth of the channel. (a) (9 marks) Find simplified expressions for the magnitude and phase responses of the channel. Sketch them on separate axes, indicating DC values and asymptotes as f + and -0. (b) (3 marks) Briefly explain whether the channel impulse response is real-valued or not. (d) (c) (3 marks) Determine the value of B. (4 marks) If W B. i. Write down an expression for the frequency response of an ideal equaliser for the channel. 1. Then draw a block diagram showing how your ideal equaliser could be implemented in the time domain, after the channel. Label all signals and components, and specify the output of your equaliser in terms of m(-). (Note: do not draw a tapped delay-line implementation.) Question 1 26 marks A message m(t) with bandwidth W is transmitted over a channel with frequency response 1 1 H(S) j2nf +10 j2nf + 20' to yield an output signal y(t). Let B denote the 3dB bandwidth of the channel. (a) (9 marks) Find simplified expressions for the magnitude and phase responses of the channel. Sketch them on separate axes, indicating DC values and asymptotes as f + and -0. (b) (3 marks) Briefly explain whether the channel impulse response is real-valued or not. (d) (c) (3 marks) Determine the value of B. (4 marks) If W B. i. Write down an expression for the frequency response of an ideal equaliser for the channel. 1. Then draw a block diagram showing how your ideal equaliser could be implemented in the time domain, after the channel. Label all signals and components, and specify the output of your equaliser in terms of m(-). (Note: do not draw a tapped delay-line implementation.)