NDLI: An integral formula for large random rectangular matrices and its application to analysis of linear vector channels

Content Provider	IEEE Xplore Digital Library
Author	Kabashima, Y.
Copyright Year	2008
Description	Author affiliation: Dept. of Comput. Intell. & Syst. Sci., Tokyo Inst. of Technol., Yokohama (Kabashima, Y.)
Abstract	A statistical mechanical framework for analyzing random linear vector channels is presented in a large system limit. The framework is based on the assumptions that the left and right singular value bases of the rectangular channel matrix H are generated independently from uniform distributions over Haar measures and the eigenvalues of $H^{T}H$ asymptotically follow a certain specific distribution. These assumptions make it possible to characterize the communication performance of the channel utilizing an integral formula with respect to H, which is analogous to the one introduced by Marinari et. al. in J. Phys. A 27, 7647 (1994) for large random square (symmetric) matrices. A computationally feasible algorithm for approximately decoding received signals based on the integral formula is also provided.
Starting Page	620
Ending Page	624
File Size	308590
Page Count	5
File Format	PDF
ISBN	9789639799189
DOI	10.1109/WIOPT.2008.4586147
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-04-01
Publisher Place	Germany
Access Restriction	Subscribed
Rights Holder	ICST
Subject Keyword	Degradation Symmetric matrices Communication channels Magnetic noise Vectors Eigenvalues and eigenfunctions Decoding Magnetic analysis Random variables Computational intelligence
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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