The exact matched filter bound for an L-path Rayleigh fading channel is determined. The result is used to study the effect of interpath interference. The numerical analysis shows that the loss in the signal-to-noise ratio due to the interpath interference depends on the selected waveform.
Kaasila, V-P., & Mämmelä, A. (1994). Bit error probability of a matched filter in a Rayleigh fading multipath channel. IEEE Transactions on Communications, 42(234), 826-828. https://doi.org/10.1109/TCOMM.1994.580182