A model for echo generation is shown in Figure 10.20. (a) Calculate the transfer function H(z) =
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(a) Calculate the transfer function H(z) = Y(z)/X(z) of the echo sys-tem shown above.
(b) Suppose you would like to recover the original signal x[n] from the output signal y[n] by passing it through a LTI system with transfer function R(z). What should be R(z) so its corresponding output is x[n]?
(c) Suppose that y[n] = u[n] u[n 2], find the original signal x[n].
Figure 10.20:
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