Results 1  10
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17
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.
Multipleantenna capacity in the lowpower regime
 IEEE TRANS. INFORM. THEORY
, 2003
"... This paper provides analytical characterizations of the impact on the multipleantenna capacity of several important features that fall outside the standard multipleantenna model, namely: i) antenna correlation, ii) Ricean factors, iii) polarization diversity, and iv) outofcell interference; all ..."
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Cited by 46 (9 self)
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This paper provides analytical characterizations of the impact on the multipleantenna capacity of several important features that fall outside the standard multipleantenna model, namely: i) antenna correlation, ii) Ricean factors, iii) polarization diversity, and iv) outofcell interference; all in the regime of low signaltonoise ratio. The interplay of rate, bandwidth, and power is analyzed in the region of energy per bit close to its minimum value. The analysis yields practical design lessons for arbitrary number of antennas in the transmit and receive arrays.
Performance analysis of transmit beamforming
 IEEE Trans. Commun
, 2005
"... Abstract—Using the theory of random matrices, a performance analysis is given for uncoded binary transmission over multipleinput multipleoutput channels, under the assumption that transmitter beamforming is used. In particular, exact finite antenna expressions are found for the average bit error r ..."
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Cited by 10 (2 self)
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Abstract—Using the theory of random matrices, a performance analysis is given for uncoded binary transmission over multipleinput multipleoutput channels, under the assumption that transmitter beamforming is used. In particular, exact finite antenna expressions are found for the average bit error rate (in the case of ergodic channels) for both noncoherent and coherent detection. Expressions for the the outage probability (in the case of quasistatic channels) are also given. Index Terms—Beamforming, bit error rate, outage probability, Rayleigh fading, Wishart matrices. I.
Optimal transmit covariance for MIMO channels with statistical transmitter side informaiton
 in IEEE Int. Symp. on Inform. Theory, ISIT’05
, 2005
"... Information ..."
Capacity analysis of correlated MIMO channels
 IEEE Trans. Info. Theory
"... Abstract — The capacity of correlated finitedimensions MIMO channels, where the channel gains have a generalized Wishart distribution is found. Asymptotic expressions are given where one dimension is much larger than the other. For many transmitters, the asymptotic capacity can be divided into two ..."
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Cited by 6 (5 self)
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Abstract — The capacity of correlated finitedimensions MIMO channels, where the channel gains have a generalized Wishart distribution is found. Asymptotic expressions are given where one dimension is much larger than the other. For many transmitters, the asymptotic capacity can be divided into two components: one arising from the dominant eigenvalues of the correlation matrix, and the other from the remaining eigenvalues. I. SUMMARY The work of [1–3] has shown that under the assumption of an i.i.d. transfer matrix, the capacity of a MIMO channel grows in proportion to the minimum number of transmitters and receivers. Recently, [4] proposed the use of the Stieltjes ’ transform to estimate the capacity of a correlated channel, and suggested that the growth of the MIMO channel will remain linear under correlation, although the proportionality constant may change. Consider a pointtopoint communication link with t transmit antennas and r receive antennas. Define m = min{r, t} and n = max{r, t}. At each symbol interval, y ∈ C r depends on x ∈ C t, y = Hx + w (1) Element yj is the matchedfilter output from antenna j, while xi is the signal transmitted from antenna i, with the transmitter given a transmission power limit P. The matrix H ∈ C r×t has elements Hji, which are the complex gains between transmit antenna i and receive antenna j. The vector w ∈ C r contains i.i.d. circularly symmetric Gaussian noise samples E [ww ∗ ] = η 2 Ir. The Hji are chosen from a complex Gaussian ensemble with zero mean and an m × m covariance matrix Σ. In the notation of [6], H ∼ Nr,t (0, Σ ⊗ In). If Σ = Im we have the well known i.i.d. case [1]. Assume H is known at the receiver and that H, Σ are unknown at the transmitter. In this case, E [xx ∗ ] = P · It/t is optimal. Theorem 1 (Correlated MIMO Capacity). The capacity of the ergodic correlated MIMO channel (1) with H ∼ Nr,t (0, Σ ⊗ I) is given by C = n mn π m(m−1) 2mnΓm(n)Γm(m) det(Σ) n m∏ i=1 λ (n−m)
MIMO capacity with channel state information at the transmitter
 in International Symposium on Spread Spectrum Techniques and Applications
, 2004
"... Abstract — This paper presents analytical expressions for the capacity of singleuser multiantenna channels, known instantaneously by both transmitter and receiver, at moderate and high signaltonoise ratios. Fading channels with both uncorrelated and correlated antennas are encompassed. The chara ..."
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Cited by 2 (0 self)
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Abstract — This paper presents analytical expressions for the capacity of singleuser multiantenna channels, known instantaneously by both transmitter and receiver, at moderate and high signaltonoise ratios. Fading channels with both uncorrelated and correlated antennas are encompassed. The characterization is conducted primarily in the limit of large numbers of antennas, with accompanying examples that illustrate the validity of the results for even small numbers thereof. In the absence of correlation, the capacity is also tightly bounded for fixed numbers of antennas with compact closedform expressions. I.
Optimal Transmit Covariance for Ergodic MIMO Channels
, 2005
"... In this paper we consider the computation of channel capacity for ergodic multipleinput multipleoutput channels with additive white Gaussian noise. Two scenarios are considered. Firstly, a timevarying channel is considered in which both the transmitter and the receiver have knowledge of the chann ..."
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Cited by 2 (1 self)
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In this paper we consider the computation of channel capacity for ergodic multipleinput multipleoutput channels with additive white Gaussian noise. Two scenarios are considered. Firstly, a timevarying channel is considered in which both the transmitter and the receiver have knowledge of the channel realization. The optimal transmission strategy is waterfilling over space and time. It is shown that this may be achieved in a causal, indeed instantaneous fashion. In the second scenario, only the receiver has perfect knowledge of the channel realization, while the transmitter has knowledge of the channel gain probability law. In this case we determine an optimality condition on the input covariance for ergodic Gaussian vector channels with arbitrary channel distribution under the condition that the channel gains are independent of the transmit signal. Using this optimality condition, we find an iterative algorithm for numerical computation of optimal input covariance matrices. Applications to correlated Rayleigh and Ricean channels are given. I.
On the Asymptotic Geometric Mean of MIMO Channel Eigenvalues
"... Abstract — The geometric mean of the eigenvalues of multipleinput multipleoutput (MIMO) channels is a parameter occurring in a variety of instances, including MIMO transceiver design based on the socalled geometric mean decomposition (GMD), and MIMO mutual information at high SNR. In this paper, w ..."
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Cited by 1 (0 self)
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Abstract — The geometric mean of the eigenvalues of multipleinput multipleoutput (MIMO) channels is a parameter occurring in a variety of instances, including MIMO transceiver design based on the socalled geometric mean decomposition (GMD), and MIMO mutual information at high SNR. In this paper, we derive the asymptotic geometric mean of MIMO channel eigenvalues in the case where the entries of the channel matrix are independent and identically distributed. We demonstrate that the result can be easily extended to channels with an exponential correlation model. As an application of the result, we provide an analytical expression for the asymptotic system capacity of GMDbased transceivers. I.
SINGLE AND MULTIPLE ANTENNA COMMUNICATION SYSTEMS: PERFORMANCE ANALYSIS AND JOINT SOURCECHANNEL CODING
, 2004
"... Performance analysis plays a central role in the design of reliable communication systems. It helps to reduce the probability of error in the transmission of digital data or to improve the quality of the recovered signals when analog signals are communicated. In this dissertation, we first address t ..."
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Cited by 1 (0 self)
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Performance analysis plays a central role in the design of reliable communication systems. It helps to reduce the probability of error in the transmission of digital data or to improve the quality of the recovered signals when analog signals are communicated. In this dissertation, we first address the problem of performance analysis by presenting analytical methods to derive upper and lower bounds for the error rates of various systems. We then design a joint sourcechannel coding system for the transmission of analog sources over a multiple antenna communication link. We begin by considering a singleantenna system with additive white Gaussian noise as well as block Rayleigh fading channels. It is shown that one can reduce the complexity of some of the existing methods and, at the same time, obtain tighter results, which is very favorable particularly when the complexity of the problem (i.e., the codebook size) is prohibitive. Closedform formulas for the block pairwise error probabilities are derived everywhere. We then consider a multiantenna communication link with spacetime orthogonal block coding and establish tight upper and lower bounds on the symbol and bit error rates of the
ISIT 2003, Yokohama, Japan, June 29  July 4, 2003
"... The capacity of correlated finitedimensions MIMO channels, where the channel gains have a generalized Wishart distribution is found. Asymptotic expressions are given where one dimension is much larger than the other. For many transmitters, the asymptotic capacity can be divided into two components: ..."
Abstract
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The capacity of correlated finitedimensions MIMO channels, where the channel gains have a generalized Wishart distribution is found. Asymptotic expressions are given where one dimension is much larger than the other. For many transmitters, the asymptotic capacity can be divided into two components: one arising from the dominant eigenvalues of the correlation matrix, and the other from the remaining eigenvalues.