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- W2108498371 abstract "<para xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> Random matrix theory is used to derive the limit and asymptotic distribution of signal-to-interference-plus-noise ratio (SIR) for a class of suboptimal minimum mean-square-error (MMSE) receivers applied to large random systems with unequal-power users. We prove that the limiting SIR converges to a deterministic value when <emphasis><formula formulatype=inline><tex>$K$</tex></formula></emphasis> and <emphasis><formula formulatype=inline><tex>$N$</tex></formula></emphasis> go to infinity with <emphasis><formula formulatype=inline><tex>$lim K/N =y$</tex></formula></emphasis> being a positive constant, where <emphasis><formula formulatype=inline><tex>$K$</tex> </formula></emphasis> is the number of users and <emphasis><formula formulatype=inline> <tex>$N$</tex></formula></emphasis> is the number of degrees of freedom. We also prove that the SIR of each particular user is asymptotically Gaussian for large <emphasis><formula formulatype=inline><tex>$N$</tex></formula></emphasis> and derive the closed-form expressions of the variance for the SIR variable under real-spreading and complex-spreading channel environments. It is revealed that for a given <emphasis><formula formulatype=inline><tex>$(K,N)$</tex> </formula></emphasis> pair, under certain mild conditions, the variance of the SIR for complex-spreading channels is half of that for the corresponding real-spreading channels. Since the suboptimal MMSE receiver becomes optimal for the case when the users are equally powered, our results show that the conjecture made by Tse and Zeitouni for the complex-spreading case is not affirmative. We also derive the asymptotic distribution for SIR in decibels which provides better description when <emphasis><formula formulatype=inline> <tex>$N$</tex></formula></emphasis> is small. Numerical results and computer simulations are provided to evaluate the accuracy of various limiting and asymptotic results obtained in this paper. </para>" @default.
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- W2108498371 date "2007-11-01" @default.
- W2108498371 modified "2023-09-24" @default.
- W2108498371 title "Asymptotic Performance of MMSE Receivers for Large Systems Using Random Matrix Theory" @default.
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- W2108498371 doi "https://doi.org/10.1109/tit.2007.907497" @default.
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