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I am sending an acoustic signal from a source to a receiver where there are limited number of paths the signal can travel. I want to detect if there has been multipath propagation or not when one path is the dominant line of sight path. Based on this link - Cross-correlation peaks in acoustic multi-path conditions , it seems like cross-correlation and checking for multiple peaks is an option, but it does not work when there is Fading (one dominant signal and others being attenuated).

It seems like this sort of Fading is called Rician Fading - however, I am not sure how to use this to detect if their has been multipath propagation or not. How to use the source and receiver signals to know if multipath propagation happened or not. (Also, I cannot use time of arrival of chirp pulses since the difference between time of arrivals of different paths is less than the chirp width)

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It seems to me that, in the conditions you describe, the most you will see is flat fading. One indication that flat fading is occuring is that a change in the positions of transmitter and receiver, and/or the reflectors causing the multipath, produce a significant change in the received power. Usually the change has to be of the order of $\lambda/2$ meters, so this may be unfeasible in your case.

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  • $\begingroup$ Sorry, could you elaborate on this? Let me make my set up clearer - I have a transmitter and receiver on two sides of a metal block separated by 5cm - so there is a direct path through metal. Now, someone adds a curved wooden tube to connect the transmitter and receiver creating a second path. Looking at the source and receiver signals, is there a way I can tell if the wooden tube is attached or not? $\endgroup$ – Stat7 Aug 30 at 23:59
  • $\begingroup$ This is a related, but different problem. Take a look at xyproblem.info I'll post something later if I come up with any ideas. $\endgroup$ – MBaz Sep 1 at 2:24

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