Residue number system arithmetic assisted M-ary modulation

A residue number system based M-ary modem is proposed and its performance is evaluated over Gaussian channels. When one or two redundant moduli are employed, a signal-to-noise ratio gain of 1.2-2 dB was achieved for a 16-ary, 32-ary and 37-ary modem, respectively, at a bit error rate of 10/sup -6/.