Title :
Minimum probability of error of many-user CDMA without power control
Author :
Guo, Dongning ; Verdu, Sergio
Author_Institution :
Dept. of Electr. Eng., Princeton Univ., NJ, USA
Abstract :
The minimum-probability-of-error (optimal) detector of multiuser CDMA is shown to be equivalent to a conditional mean estimator which finds the mean value of the stochastic output of a so-called Bayes retrochannel. The equivalence of the Bayes retrochannel to a spin glass allows the optimal bit-error-rate to be determined exactly in the large-system limit by studying macroscopic properties of the spin glass using tools developed in statistical mechanics. It is found that all users, regardless of their individual received energies, enjoy the same multiuser efficiency, which is directly related to the mean-square error of the conditional mean estimator.
Keywords :
Bayes methods; code division multiple access; error statistics; mean square error methods; multiuser detection; optimisation; Bayes retrochannel; MSE; conditional mean estimator; large-system limit; macroscopic properties; many-user CDMA; mean-square error; minimum error probability; multiuser CDMA; multiuser detection; multiuser efficiency; optimal BER; optimal bit error rate; optimal detector; randomly spread CDMA; received energy; spin glass; statistical mechanics; stochastic output; Detectors; Error correction; Error probability; Glass; Matched filters; Multiaccess communication; Multiuser detection; Power control; Stochastic processes; Stochastic resonance;
Conference_Titel :
Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on
Print_ISBN :
0-7803-7501-7
DOI :
10.1109/ISIT.2002.1023460
