Bayesian inference of multi-valued information symbol by a CDMA demodulator using multi-valued spreading code sequence

We make an estimation of a maximizer of posterior marginals (MPM) as for a multi-valued information symbol by a code-division multiple access (CDMA) demodulator using a multi-valued spreading code sequence within a framework of a Bayesian inference. We calculate an estimation error of the CDMA demodulator and the information capacity of the CDMA channel by using a replica method. We clarify that because of redundancy for degree of the multi-values, the multi-valued information symbol and the multi-valued spreading code sequence are useful as for improvement of information transmission by comparing performance for various degrees of the multi-values.