In the case of a fading channel you need, it is the received signal attenuation that ends up having a Rayleigh distribution. Now if we consider the received signal as 'r', transmitted signal as 't' and AWGN as 'n', then consider 'x' as the Rayleigh dist. Assuming you have a BPSK signal then, you need a matched filter at the output (not division), since it is rayleigh channel you have multiplied "t" with the attenuation factor and phase factor. A detector-combiner compensates for the phase shift and weights the signal for rayleigh channel, this is done segregating 1's and 0's . Then a simple method is to use a "Brennan combiner" to combine the transmitted 1's and 0's into a single channel. Here we consider only the real parts. of the output i.e. r=t.atten_factor.phase factor+n -> matched filter ->(detector)maximum ratio combiner.