A statistical theory for the measurement and estimation of Rayleigh fading channel

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dc.creatorChen, Xinjia
dc.creatorGu, Guoxiang
dc.creatorZhou, Kemin
dc.date2007-07-02
dc.date.accessioned2026-07-07T08:13:35Z
dc.date.available2026-07-07T08:13:35Z
dc.descriptionIn this paper, we propose a statistical theory on measurement and estimation of Rayleigh fading channels in wireless communications and provide complete solutions to the fundamental problems: What is the optimum estimator for the statistical parameters associated with the Rayleigh fading channel, and how many measurements are sufficient to estimate these parameters with the prescribed margin of error and confidence level? Our proposed statistical theory suggests that two testing signals of different strength be used. The maximum likelihood (ML) estimator is obtained for estimation of the statistical parameters of the Rayleigh fading channel that is both sufficient and complete statistic. Moreover, the ML estimator is the minimum variance (MV) estimator that in fact achieves the Cramer-Rao lower bound.
dc.description25 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/0707.0284
dc.identifierhttp://arxiv.org/abs/0707.0284
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132819
dc.subjectStatistics Theory
dc.subjectProbability
dc.subjectApplications
dc.titleA statistical theory for the measurement and estimation of Rayleigh fading channel
dc.typetext

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