Journal
IEEE TRANSACTIONS ON INFORMATION THEORY
Volume 54, Issue 5, Pages 2123-2138Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2008.920221
Keywords
code-division multiple access (CDMA); free probability; large system; minimum mean square error (MMSE); R-transform; S-transform
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This paper uses an incremental matrix expansion approach to derive asymptotic eigenvalue distributions (a.e.d.s) of sums and products of large random matrices. We show that the result can be derived directly as a consequence of two common assumptions, and matches the results obtained from using Rand S-transforms in free probability theory. We also give a direct derivation of the a.e.d. of the sum of certain random matrices which are not free. This is used to determine the asymptotic signal-to-interference-ratio of a multiuser code-division multiple-access (CDMA) system with a minimum mean-square error linear receiver.
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