Performance analysis of signal detection using quantized received signals of linear vector channel

Performance analysis of optimal signal detection using quantized received signals of a linear vector channel, which is an extension of code-division multiple-access (CDMA) or multiple-input multiple-output (MIMO) channels, in the large system limit, is presented in this paper. An optimal detector is one that uses a true channel model, true prior distribution of input signals, and perfect knowledge about quantization. Applying replica method developed in statistical mechanics, we show that, in the case of a noiseless channel, the optimal detector has perfect detection ability under certain conditions, and that for a noisy channel, a coarse quantization can provides near optimal performance obtained by the optimal detector without quantization.