Large-system analysis of a CDMA dynamic channel under a Markovian input process

We study the minimum mean square error (MMSE) and the multiuser efficiency η of large dynamic multiple access communication systems in which optimal multiuser detection is performed at the receiver as the number and the identities of active users is allowed to change at each transmission time. The system dynamics are ruled by a Markov model describing the evolution of the channel occupancy and a large-system analysis is performed when the number of observations grow large. Starting on the equivalent scalar channel and the fixed-point equation tying multiuser efficiency and MMSE, we extend it to the case of a dynamic channel, and derive lower and upper bounds for the MMSE (and, thus, for η as well) holding true in the limit of large signal–to–noise ratios and increasingly large observation time T.

Comunicació presentada al IEEE International Symposium on Information Theory (ISIT '08), celebrat a Toronto (Ontario, Canadà) els dies 6, 7, 8, 9, 10 i 11 de juliol de 2008, organitzat per l'Institute of Electrical and Electronics Engineers (IEEE).

This work was supported by the Spanish Ministry of Education and Scienceunder Project TEC2006- 01428/TCM, and by the STREP project No. IST-026905 (MASCOT) within the 6th framework program of the EuropeanCommission.