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2011
IEEE

Deterministic Equivalents for the Performance Analysis of Isometric Random Precoded Systems

9 years 1 months ago
Deterministic Equivalents for the Performance Analysis of Isometric Random Precoded Systems
—We consider a general wireless channel model for different types of code-division multiple access (CDMA) and space-division multiple-access (SDMA) systems with isometric random signature/precoding matrices over frequency-selective and flat fading channels. We derive deterministic approximations of the Stieltjes transform, the mutual information and the signal-to-interference-plus-noise ratio (SINR) at the output of the minimum-mean-square-error (MMSE) receiver and provide a simple fixed-point algorithm for their computation, which is proved to converge. The deterministic approximations are asymptotically tight, almost surely, but shown by simulations to be very accurate for even small system dimensions. Our analysis requires neither arguments from free probability theory nor the asymptotic freeness or the convergence of the spectral distribution of the involved matrices. The results presented in this work are, therefore, also a novel contribution to the field of random matrix the...
Jakob Hoydis, Romain Couillet, Mérouane Deb
Added 24 Dec 2011
Updated 24 Dec 2011
Type Journal
Year 2011
Where ICC
Authors Jakob Hoydis, Romain Couillet, Mérouane Debbah
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