Results 1  10
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16
HighSNR power offset in multiantenna communication
 IEEE Transactions on Information Theory
, 2005
"... Abstract—The analysis of the multipleantenna capacity in the high regime has hitherto focused on the high slope (or maximum multiplexing gain), which quantifies the multiplicative increase as a function of the number of antennas. This traditional characterization is unable to assess the impact of ..."
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Cited by 59 (13 self)
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Abstract—The analysis of the multipleantenna capacity in the high regime has hitherto focused on the high slope (or maximum multiplexing gain), which quantifies the multiplicative increase as a function of the number of antennas. This traditional characterization is unable to assess the impact of prominent channel features since, for a majority of channels, the slope equals the minimum of the number of transmit and receive antennas. Furthermore, a characterization based solely on the slope captures only the scaling but it has no notion of the power required for a certain capacity. This paper advocates a more refined characterization whereby, as a function of �f, the high capacity is expanded as an affine function where the impact of channel features such as antenna correlation, unfaded components, etc., resides in the zeroorder term or power offset. The power offset, for which we find insightful closedform expressions, is shown to play a chief role for levels of practical interest. Index Terms—Antenna correlation, channel capacity, coherent communication, fading channels, high analysis, multiantenna arrays, Ricean channels.
On the capacity of doubly correlated MIMO channels
 IEEE Trans. on Wireless Comm
, 2006
"... Abstract — In this paper, we analyze the capacity of multipleinput multipleoutput (MIMO) Rayleighfading channels in the presence of spatial fading correlation at both the transmitter and the receiver, assuming the channel is unknown at the transmitter and perfectly known at the receiver. We first ..."
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Cited by 12 (3 self)
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Abstract — In this paper, we analyze the capacity of multipleinput multipleoutput (MIMO) Rayleighfading channels in the presence of spatial fading correlation at both the transmitter and the receiver, assuming the channel is unknown at the transmitter and perfectly known at the receiver. We first derive the determinant representation for the exact characteristic function of the capacity, which is then used to determine the trace representations for the mean, variance, skewness, kurtosis, and other higherorder statistics (HOS). These results allow us to exactly evaluate two relevant informationtheoretic capacity measures—ergodic capacity and outage capacity—and the HOS of the capacity for such a MIMO channel. The analytical framework presented in the paper is valid for arbitrary numbers of antennas, and generalizes the previously known results for independent and identically distributed or onesided correlated MIMO channels to the case when fading correlation exists on both sides. We verify our analytical results by comparing them with Monte Carlo simulations for a correlation model based on realistic channel measurements as well as a classical exponential correlation model. Index Terms — Channel capacity, higherorder statistics (HOS), multipleinput multipleoutput (MIMO) system, Rayleigh fading, spatial fading correlation. I.
Eigenvalues and condition numbers of complex random matrices
 SIAM J. Matrix Anal. Appl
"... In this paper, the distributions of the largest and smallest eigenvalues of complex Wishart matrices and the condition number of complex Gaussian random matrices are derived. These distributions are represented by complex hypergeometric functions of matrix arguments, which can be expressed in terms ..."
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Cited by 12 (1 self)
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In this paper, the distributions of the largest and smallest eigenvalues of complex Wishart matrices and the condition number of complex Gaussian random matrices are derived. These distributions are represented by complex hypergeometric functions of matrix arguments, which can be expressed in terms of complex zonal polynomials. Several results are derived on complex hypergeometric functions and complex zonal polynomials and are used to evaluate these distributions. Finally, applications of these distributions in numerical analysis and statistical hypothesis testing are mentioned.
Capacity of MIMO channels with onesided correlation
 in Proc. IEEE ISSSTA’2004
, 2004
"... Abstract — We present closedform expressions for the marginal density distribution of the unordered eigenvalues of HΦH † where Φ is an input covariance and H is a matrix representing a MIMO (multiinput multioutput) Rayleighfaded channel with onesided correlation at either end of the link, trans ..."
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Cited by 11 (4 self)
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Abstract — We present closedform expressions for the marginal density distribution of the unordered eigenvalues of HΦH † where Φ is an input covariance and H is a matrix representing a MIMO (multiinput multioutput) Rayleighfaded channel with onesided correlation at either end of the link, transmitter or receiver, with no constraints on the numbers of antennas therein. Using the foregoing distribution, we then derive analytical expressions for the capacity. The expressions found are evaluated through several examples conducted with correlation structures of practical interest. I.
MIMO diversity in the presence of double scattering
 IEEE Trans. Inform. Theory
, 2008
"... The potential benefits of multipleantenna systems may be limited by two types of channel degradations—rank deficiency and spatial fading correlation of the channel. In this paper, we assess the effects of these degradations on the diversity performance of multipleinput multipleoutput (MIMO) syste ..."
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Cited by 9 (3 self)
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The potential benefits of multipleantenna systems may be limited by two types of channel degradations—rank deficiency and spatial fading correlation of the channel. In this paper, we assess the effects of these degradations on the diversity performance of multipleinput multipleoutput (MIMO) systems, with an emphasis on orthogonal space–time block codes, in terms of the symbol error probability, the effective fading figure (EFF), and the capacity at low signaltonoise ratio (SNR). In particular, we consider a general family of MIMO channels known as doublescattering channels, which encompasses a variety of propagation environments from independent and identically distributed Rayleigh to degenerate keyhole or pinhole cases by embracing both rankdeficient and spatial correlation effects. It is shown that a MIMO system with nT transmit and nR receive antennas achieves the diversity of order nTnSnR max(nT,nS,nR) in a doublescattering channel with nS effective scatterers. We also quantify the combined effect of the spatial correlation and the lack of scattering richness on the EFF and the lowSNR capacity in terms of the correlation figures of transmit, receive, and scatterer correlation matrices. We further show the
Complex random matrices and Rayleigh channel capacity
 Communications in Information and Systems
, 2003
"... Abstract. The eigenvalue densities of complex central Wishart matrices are investigated with the objective of studying an open problem in channel capacity. These densities are represented by complex hypergeometric functions of matrix arguments, which can be expressed in terms of complex zonal polyno ..."
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Cited by 7 (2 self)
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Abstract. The eigenvalue densities of complex central Wishart matrices are investigated with the objective of studying an open problem in channel capacity. These densities are represented by complex hypergeometric functions of matrix arguments, which can be expressed in terms of complex zonal polynomials. The connection between the complex Wishart matrix theory and information theory is given. This facilitates the evaluation of the most important informationtheoretic measure, the socalled channel capacity. In particular, the capacity of multiple input, multiple output (MIMO) Rayleigh distributed channels are fully investigated. We consider both correlated and uncorrelated channels and derive the corresponding channel capacity formulas. It is shown how the channel correlation degrades the capacity of the communication system.
Eigenvalue Statistics of FiniteDimensional Random Matrices for MIMO Wireless Communications
"... Abstract — This paper characterizes the marginal probability density function of an unordered eigenvalue of finitedimensional random matrices of particular interest in MIMO (multipleinput multipleoutput) wireless communications. Specifically, a technique is presented for deriving the eigenvalue s ..."
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Cited by 3 (1 self)
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Abstract — This paper characterizes the marginal probability density function of an unordered eigenvalue of finitedimensional random matrices of particular interest in MIMO (multipleinput multipleoutput) wireless communications. Specifically, a technique is presented for deriving the eigenvalue statistics in oneside correlated Rayleighfaded channels and in Riceanfaded channels, with or without cochannel interferers. The exact expressions found turn out to be extremely useful in calculating informationtheoretic quantities. As an application, we calculate the ergodic mutual information for all the abovementioned channel fading conditions, obtaining a closed form formula for the Rayleigh case and, in turn, a series expression for the Ricean faded one. I.
Quadratic forms of complex random matrices and multipleantenna systems
 IEEE Trans. on Information Theory
, 2005
"... channel capacity ..."
Random Matrix Transforms and Applications via
"... Abstract — This work introduces an effective approach to derive the marginal density distribution of an unordered eigenvalue for finitedimensional random matrices of Wishart and F type, based on which we give several examples of closedform and series expressions for the Shannon and η transforms of ..."
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Abstract — This work introduces an effective approach to derive the marginal density distribution of an unordered eigenvalue for finitedimensional random matrices of Wishart and F type, based on which we give several examples of closedform and series expressions for the Shannon and η transforms of random matrices with nonzero mean and/or dependent entries. The newly obtained results allow for a compact nonasymptotic characterization of MIMO and multiuser vector channels in terms of both ergodic capacity and minimum mean square error (MMSE). In addition, the derived marginal density distributions can be of interest on their own in other fields of applied statistics. I.
Contract No. AFOSR68l4l5 and the Sakkokai Foundation. ON THE DISTRIBUTION OF THE LATENT ROOTS OF A COMPLEX WISHART MATRIX (NONCENTRAL CASE)
"... This paper considers the derivation of the probability density function of the latent roots of a noncentral complex Wishart matrix. To treat this problem, we define the generalized Hermite polynomials of a complex matrix argument and give some properties of the generalized Hermite polynomials. By u ..."
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This paper considers the derivation of the probability density function of the latent roots of a noncentral complex Wishart matrix. To treat this problem, we define the generalized Hermite polynomials of a complex matrix argument and give some properties of the generalized Hermite polynomials. By using the generating function of the generalized Hermite polynomials, we can obtain the exact probability density functions of the latent roots,. the maximum latent root and of trace of the latent roots of a noncentr~l complex Wishart matrix. Classification number: 10. Main words and notations