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Random matrix model for nakagamihoyt fadingPublished in

2010

Volume: 56

Issue: 5

Pages: 2360 - 2372

Random matrix model for the Nakagami-q (Hoyt) fading in multiple-input multiple-output (MIMO) communication channels with arbitrary number of transmitting and receiving antennas is considered. The joint probability density for the eigenvalues of H† H† (or {H H†), where H† is the channel matrix, is shown to correspond to the Laguerre crossover ensemble of random matrices and is given in terms of a Pfaffian. Exact expression for the marginal density of eigenvalues is obtained as a series consisting of associated Laguerre polynomials. This is used to study the effect of fading on the Shannon channel capacity. Exact expressions for higher order density correlation functions are also given which can be used to study the distribution of channel capacity. © 2010 IEEE.}, author_keywords={Channel capacity; Fading distributions; Hoyt distribution; Laguerre crossover ensemble; Multiple-input multiple-output (MIMO) channels; Nakagami-q distribution; Random matrices}, keywords={Hoyt distribution; Laguerre; Multiple-input multiple-output channels; Nakagami; Nakagami-q distribution; Random matrices, Distribution functions; Eigenvalues and eigenfunctions; Fading channels; Probability density function; Receiving antennas, Channel capacity}, funding_details={Council of Scientific and Industrial Research, IndiaCouncil of Scientific and Industrial Research, India, CSIR}, funding_text_1={Manuscript received August 03, 2009; revised December 08, 2009. Current version published April 21, 2010. S. Kumar was supported by CSIR India through a fellowship. The authors are with the School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India (e-mail: [email protected]; [email protected]). Communicated by A. L. Moustakas, Associate Editor for Communications. Digital Object Identifier 10.1109/TIT.2010.2044060}, references={Simon, M.K., Alouini, M.-S., (2000) Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis, , Hoboken, NJ: Wiley; Simon, M.K., Alouini, M.-S., A unified approach to the performance analysis of digital communication over generalized fading channels (1998) Proc. IEEE, 86 (9), pp. 1860-1877. , Sep; Foschini, G.J., Gans, M.J., On limits of wireless communications in a fading environment when using multiple antennas (1998) Wireless Pers. Commun., 6 (2), pp. 311-335. , Mar; Telatar, I.E., Capacity of multi-antenna Gaussian channels (1999) Eur. Trans. 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