Cross-correlation peaks in acoustic multi-path conditions Consider a speaker and a microphone are placed in a multi-path environment and the audio signal to be transmitted is LFM(chirp) signal, the time of arrival of the audio signal is computed by cross-correlation at the receiver side. My question is:

If there are severe reflection, reverberation phenomenons but the direct-path propagation acoustic signal is also received. When doing cross-correlation, will the first correlation peak (which is supposed to belong to direct path propagation signal) shift due to reflections &amp; reverberations?

thank you very much
Depending on the circumstances, you can also have other than air borne propagation like through a concrete floor and the support structures of your projector and sensors.  the fastest path isn’t necessarily going to be the direct air path.