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Digital signal processing problem

The problem(2-61) is from the third edition of
digital signal processing(proakis+manolakis)

2-61 an audio signal s(t)generated by a loud speaker is reflected at two different walls with reflection coefficients r1 and r2. the signal x(t) recorded by amicrophone close to the loud speaker, after sampling is;

x(n)=s(n)+r1*s(n-k1)+r2*s(n-k2)
where k1 and k2 are the delays of the two echoes.

a) determine the autocorrelation rxx(l) of the signal

x(n)

b) what happens if r2=0?

c) can we obtain r1,r2,k1, and k2 by observing rxx(l)?

Solution Summary

The solution is in an attachment in 300-350 words with explanations and step-by-step equational processes.

$2.19