An equivalent discrete-time channel with white Gaussian noise is shown in Figure P10.1 a. Suppose…

An equivalent discrete-time channel with white Gaussian noise is shown in Figure P10.1

a. Suppose we use a linear equalizer to equalize the channel. Determine the tap coefficients c−1, c0, c1 of a three-tap equalizer. To simplify the computation, let the AWGN be zero.

b. The tap coefficients of the linear equalizer in (a) are determined recursively via the algorithm

where Gk = ΓCk − ξ is the gradient vector and ∆ is the step size. Determine the range of values of ∆ to ensure convergence of the recursive algorithm. To simplify the computation, let the AWGN be zero.

c. Determine the tap weights of a DFE with two feed forward taps and one feedback tap. To simplify the computation, let the AWGN be zero.