Journal ArticleDOI
On the distribution of SINR for the MMSE MIMO receiver and performance analysis
Reads0
Chats0
TLDR
A Gamma distribution and a generalized Gamma distribution are proposed as approximations to the finite sample distribution of T and simulations suggest that these approximate distributions can be used to estimate accurately the probability of errors even for very small dimensions.Abstract:
This correspondence studies the statistical distribution of the signal-to-interference-plus-noise ratio (SINR) for the minimum mean-square error (MMSE) receiver in multiple-input multiple-output (MIMO) wireless communications. The channel model is assumed to be (transmit) correlated Rayleigh flat-fading with unequal powers. The SINR can be decomposed into two independent random variables: SINR=SINR/sup ZF/+T, where SINR/sup ZF/ corresponds to the SINR for a zero-forcing (ZF) receiver and has an exact Gamma distribution. This correspondence focuses on characterizing the statistical properties of T using the results from random matrix theory. First three asymptotic moments of T are derived for uncorrelated channels and channels with equicorrelations. For general correlated channels, some limiting upper bounds for the first three moments are also provided. For uncorrelated channels and correlated channels satisfying certain conditions, it is proved that T converges to a Normal random variable. A Gamma distribution and a generalized Gamma distribution are proposed as approximations to the finite sample distribution of T. Simulations suggest that these approximate distributions can be used to estimate accurately the probability of errors even for very small dimensions (e.g., two transmit antennas).read more
Citations
More filters
Journal ArticleDOI
Energy and Spectral Efficiency of Very Large Multiuser MIMO Systems
TL;DR: In this paper, the tradeoff between the energy efficiency and spectral efficiency of a single-antenna system is quantified for a channel model that includes small-scale fading but not large scale fading, and it is shown that the use of moderately large antenna arrays can improve the spectral and energy efficiency with orders of magnitude compared to a single antenna system.
Posted Content
Energy and Spectral Efficiency of Very Large Multiuser MIMO Systems
TL;DR: It is shown that the use of moderately large antenna arrays can improve the spectral and energy efficiency with orders of magnitude compared to a single-antenna system.
Journal ArticleDOI
Fifty Years of MIMO Detection: The Road to Large-Scale MIMOs
Shaoshi Yang,Lajos Hanzo +1 more
TL;DR: In this article, the authors provide a recital on the historic heritages and novel challenges facing massive/large-scale multiple-input multiple-output (LS-MIMO) systems from a detection perspective.
Journal ArticleDOI
Performance Analysis of ZF and MMSE Equalizers for MIMO Systems: An In-Depth Study of the High SNR Regime
TL;DR: An in-depth analysis of the zero forcing (ZF) and minimum mean squared error (MMSE) equalizers applied to wireless multiinput multioutput (MIMO) systems with no fewer receive than transmit antennas reveals several new and surprising analytical results.
References
More filters
Journal ArticleDOI
On the asymptotic eigenvalue distribution of concatenated vector-valued fading channels
TL;DR: The channel model addressed generalizes the model introduced Muller for communication via large antenna arrays to N-fold scattering per propagation path and the multiplicative free convolution is shown to extend to a certain class of asymptotically large non-Gaussian random covariance matrices.
Journal ArticleDOI
Asymptotic normality of linear multiuser receiver outputs
TL;DR: This paper proves large-system asymptotic normality of the output of a family of linear multiuser receivers that can be arbitrarily well approximated by polynomial receivers, and reveals that the distribution conditioned on almost all spreading sequences converges to the same distribution, which is also the unconditional distribution.
Journal ArticleDOI
Transmission and reception with multiple antennas: theoretical foundations
Ezio Biglieri,Giorgio Taricco +1 more
TL;DR: This paper focuses on the main aspects of single-user multiple-antenna theory, with the goal of presenting a comprehensive, yet compact, survey, emphasizing its mathematical aspects.
Journal ArticleDOI
Robust linear MIMO receivers: a minimum error-rate approach
TL;DR: This paper looks at the linear reception of spatially multiplexed signals across MIMO channels and derives a scheme allowing a closed-form approximate solution to the problem of robustness in the presence of detrimental effects such as correlation and Ricean components.
Journal ArticleDOI
From the generalized gamma to the generalized negative binomial distribution
TL;DR: The generalized gamma distribution as mentioned in this paper contains the gamma and the Inverse Gaussian distribution as special cases, and is used as a mixing distribution for an unknown Poisson parameter, leading to the generalized negative binomial distribution.