Minimum bit error probability of large randomly spread MC-CDMA systems in multipath Rayleigh fading

We address bit error probability of the optimum multiuser detector for multi-carrier code division multiple access in frequency-selective fading channels. We use the replica method, a tool from statistical physics, to calculate the bit error probability in the large system limit for randomly assigned spreading sequences. The analysis allows for binary input symbols with biased probabilities and, therefore, can be used to analyze iterative multiuser decoders.