A closed-form bound on correlated MIMO channel capacity

Kiessling, M.; Speidel, Joachim; Viering, Ingo; Reinhardt, M.

doi:10.1109/vetecf.2002.1040722

Cited by 29 publications

(17 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A closed form upper bound is derived in [42] when long term CSI is available at the transmitter. An upper bound on mean capacity is given in [43]- [45].…”

Section: G Correlation: Asymptotic Results and Bounds On Capacitymentioning

confidence: 99%

“…The upper bound converges slowly to the lower bound and is tight for large values of K. An explanation for the slowness of convergence can be found in (42) where it is shown that Δ tends to zero like log(r)/t, which itself converges very slowly. Although the upper bound is only strictly valid for a large number of antennas (see the assumptions in (43)), in the simulations it is still correct for values of t as low as 20, and for K ≤ 12.…”

Section: B Asymptotic Mean and Variance Of The Capacity For The Ricementioning

confidence: 89%

See 1 more Smart Citation

MIMO Ricean channel capacity: an asymptotic analysis

Lebrun

Faulkner

Shafi³

et al. 2006

IEEE Trans. Wireless Commun.

View full text Add to dashboard Cite

Abstract-This paper presents asymptotic bounds and limits for the mean channel capacity of MIMO systems under Ricean channel conditions. It is shown that the mean capacity per dimension decreases as the K factor increases in value and approaches a value equal to that of the underlying scattering channel when the number of antennas are large and the specular matrix has unit rank. The accuracy of the bounds is verified by simulations. In addition, a variety of results for the MIMO Ricean channel are brought together to give an overview of the current knowledge in this area. We also show that the variance of the capacity for a Ricean Channel approaches that of the the scattering channel for large numbers of antennas.

show abstract

“…A closed form upper bound is derived in [42] when long term CSI is available at the transmitter. An upper bound on mean capacity is given in [43]- [45].…”

Section: G Correlation: Asymptotic Results and Bounds On Capacitymentioning

confidence: 99%

Section: B Asymptotic Mean and Variance Of The Capacity For The Ricementioning

confidence: 89%

MIMO Ricean channel capacity: an asymptotic analysis

Lebrun

Faulkner

Shafi³

et al. 2006

IEEE Trans. Wireless Commun.

View full text Add to dashboard Cite

show abstract

“…Therefore, we resort to another objective function with a reasonable computational complexity. According to the results derived by [31], we have the following closed-form upper bound for the expectation of the ECC…”

Section: The Objective Functionmentioning

confidence: 99%

“…where E tx,k and E rx,k are given as follows [31]: (28) respectively, where (21) and (24). Hence, we adopt the upper bound as the objective function of the PSO for performing the optimization process, i.e., we define…”

Section: The Objective Functionmentioning

confidence: 99%

Spatial Correlation of Multiple Antenna Arrays in Wireless Communication Systems

Lee¹,

Cheng²

2012

PIER

View full text Add to dashboard Cite

Abstract-This paper investigates the spatial correlation characteristics of multiple antenna arrays deployed in wireless communication systems. First, we derive a general closed-form formula for the spatial correlation function (SCF) of a multiple antenna array with arbitrary array configuration under uniform signal angular energy distribution. Based on this formula, we then explore the characteristics of the SCF for several multiple antenna arrays with different array geometries. It is found that a multiple antenna array with a three-dimensional (3-D) array geometry can reduce the magnitude of its SCF and hence, improve the ergodic channel capacity (ECC) of wireless communication systems. Accordingly, we present a method to find the optimum 3-D antenna array geometry for maximizing the ECC of a wireless communication system. This method develops a novel objective function to incorporate with a particle swarm optimization (PSO) for solving the resulting optimization problem. Simulation results are provided for confirming the validity and the effectiveness of the proposed method.

show abstract

“…Bounds on the ergodic capacity of i.i.d. and correlated Rayleigh fading MIMO channels were given in References [7][8][9][10]41] in a mathematically more tractable form than the expressions resulting from the exact analysis.…”

Section: Introductionmentioning

confidence: 99%

Unifying analysis of ergodic MIMO capacity in correlated Rayleigh fading environments

Kiessling

2005

Trans Emerging Tel Tech

View full text Add to dashboard Cite

SUMMARYWe present a novel mathematical approach that for the first time allows for calculating the moment generating function (MGF) of mutual information of Rayleigh fading MIMO channels with arbitrary fading correlation at transmitter and receiver. Specifically, we make use of certain hypergeometric functions of matrix argument, which are frequently used in multivariate statistics. This allows for a concise general expression for the MGF and we specialise the general result to scenarios with one-side correlated and uncorrelated channels. Using the MGF, we derive exact formulas of the ergodic capacity, thus unifying the capacity analysis of correlated Rayleigh fading MIMO channels. It turns out that the ergodic capacity in all cases can be expressed in terms of a sum of determinants with elements that are a combination of polynomials, exponentials and the exponential integral E 1 solely. The analysis is verified by Monte-Carlo simulations and shows a perfect match.

show abstract

A closed-form bound on correlated MIMO channel capacity

Cited by 29 publications

References 14 publications

MIMO Ricean channel capacity: an asymptotic analysis

MIMO Ricean channel capacity: an asymptotic analysis

Spatial Correlation of Multiple Antenna Arrays in Wireless Communication Systems

Unifying analysis of ergodic MIMO capacity in correlated Rayleigh fading environments

Contact Info

Product

Resources

About