An audio signal s(t) generated by a loudspeaker is reflected at two different walls with reflection coefficients

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An audio signal s(t) generated by a loudspeaker is reflected at two different walls with reflection coefficients r1 and r_2.The signal x(t) recorded by a microphone close to the loudspeaker, after sampling, is

x(n) = s(n) + r₁s(n – k₁) + r₂s(n – k₂)

where k₁ and k₂are the delays of the two echoes.

(a) Determine the auto correlation r_xx (l) of the signal x(n.)

(b) Can we obtain r₁, r₂, k₁ and k₂by observing r_xx(l)?

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Digital Signal Processing

ISBN: ?978-0133737622

3rd Edition

Authors: Jonh G. Proakis, Dimitris G.Manolakis

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Question Posted: May 26, 2011 02:58 AM

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An audio signal s(t) generated by a loudspeaker is reflected at two different walls with reflection coefficients

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a b c If 2 0 the peaks occur at l 0 and ...View the full answer

Digital Signal Processing

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