Some radio systems suffer from multipath distortion, which is ca

Some radio systems suffer from multipath distortion, which is ca

Some radio systems suffer from multipath distortion, which is caused by the existence of more than one propagation path between the transmitter and the receiver. Consider a channel the output of which, in response to a signal s (t), is defined by (in the absence of noise) x (t) = a1s (t — t01) + a2s (t — t02) where a1 and a2 are constant, and t01 and t02 represent transmission delays. It is proposed to use the three-tap delay-lime-filter of Figure to equalize the multipath distortion produced by this channel.
(a) Evaluate the transfer function of the channel.
(b) Evaluate the parameters of the tapped-delay-line filter in terms of a1, a2, t01, and t02, assuming that a2 < a1=”” and=”” t02=””>t01.

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