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Dynamical replica theoretic analysis of CDMA detection dynamics

J P L Hatchett1 and M Okada2

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We investigate the detection dynamics of the Gibbs sampler for code-division multiple access (CDMA) multiuser detection. Our approach is based upon dynamical replica theory which allows an analytic approximation to the dynamics. We use this tool to investigate the basins of attraction when phase coexistence occurs and conclude that good decoding past the spinodal point is not practically possible with this algorithm. We examine the efficacy of our method by doing a comparison with Monte Carlo simulations.


PACS

84.40.Ua Telecommunications: signal transmission and processing; communication satellites

02.50.Ng Distribution theory and Monte Carlo studies

02.60.Gf Algorithms for functional approximation

MSC

94A14 Modulation and demodulation

60G35 Applications (signal detection, filtering, etc.) (See also 62M20, 93E10, 93E11, 94Axx)

74G15 Numerical approximation of solutions

94B35 Decoding

91A28 Signaling, communication

65C05 Monte Carlo methods

Subjects

Computational physics

Electronics and devices

Dates

Issue 15 (14 April 2006)

Received 2 December 2005

Published 29 March 2006



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