Abstract :
We present a theory, based on statistical mechanics, to evaluate analytically the performance of uncoded, fully synchronous, randomly spread code-division multiple-access (CDMA) multiuser detectors with additive white Gaussian noise (AWGN) channel, under perfect power control, and in the large-system limit. Application of the replica method, a tool developed in the literature of statistical mechanics, allows us to derive analytical expressions for the bit-error rate, as well as the multiuser efficiency, of the individually optimum (IO) and jointly optimum (JO) multiuser detectors over the whole range of noise levels. The information-theoretic capacity of the randomly spread CDMA channel and the performance of decorrelating and linear minimum mean-square error (MMSE) detectors are also derived in the same replica formulation, thereby demonstrating validity of the statistical-mechanical approach
Keywords :
AWGN channels; channel capacity; code division multiple access; decorrelation; error statistics; least mean squares methods; power control; receivers; statistical mechanics; telecommunication control; AWGN channel; CDMA multiuser detectors; IO multiuser detectors; JO multiuser detectors; MMSE detectors; additive white Gaussian noise channel; bit-error rate; decorrelating detectors; individually optimum multiuser detectors; information-theoretic capacity; jointly optimum multiuser detectors; large-system analysis; linear minimum mean-square error detectors; multiuser efficiency; power control; randomly spread CDMA channel; replica method; statistical-mechanics approach; uncoded fully synchronous randomly spread code-division multiple-access multiuser detectors; AWGN; Bayesian methods; Decorrelation; Detectors; Image analysis; Information processing; Multiaccess communication; Noise level; Performance analysis; Signal to noise ratio;
