# Perturbed Hankel Determinants: Applications to the Information Theory of MIMO Wireless Communications

@article{Chen2010PerturbedHD, title={Perturbed Hankel Determinants: Applications to the Information Theory of MIMO Wireless Communications}, author={Yang Chen and Matthew R. Mckay}, journal={ArXiv}, year={2010}, volume={abs/1007.0496} }

In this paper we compute two important information-theoretic quantities which arise in the application of multiple-input multiple-output (MIMO) antenna wireless communication systems: the distribution of the mutual information of multi-antenna Gaussian channels, and the Gallager random coding upper bound on the error probability achievable by finite-length channel codes. It turns out that the mathematical problem underpinning both quantities is the computation of certain Hankel determinants…

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## References

SHOWING 1-10 OF 81 REFERENCES

### General capacity bounds for spatially correlated Rician MIMO channels

- Computer ScienceIEEE Transactions on Information Theory
- 2005

The capacity of spatially correlated Rician multiple-input multiple-output (MIMO) channels in the general case with double-sided correlation and arbitrary rank channel means is considered and tight upper and lower bounds on the ergodic capacity are derived.

### Capacity of MIMO Rician channels

- Computer ScienceIEEE Transactions on Wireless Communications
- 2006

Numerical results confirm that for a fixed channel gain, a strong tine-of-sight component decreases the channel capacity due to the lack of scattering.

### Capacity of multiple-antenna fading channels: spatial fading correlation, double scattering, and keyhole

- Computer ScienceIEEE Trans. Inf. Theory
- 2003

Taking into account realistic propagation environments in the presence of spatial fading correlation, double scattering, and keyhole effects, a closed-form expression for the ergodic capacity of independent Rayleigh-fading MIMO channels is presented and a tight upper bound for spatially correlated/double scattering MIMo channels is derived.

### On the capacity of spatially correlated MIMO Rayleigh-fading channels

- Business, Computer ScienceIEEE Trans. Inf. Theory
- 2003

A concise closed-form expression is derived for the characteristic function (c.f.) of MIMO system capacity with arbitrary correlation among the transmitting antennas or among the receiving antennas in frequency-flat Rayleigh-fading environments, and an exact expression for the mean value of the capacity for arbitrary correlation matrices is derived.

### Statistical Eigenmode Transmission Over Jointly Correlated MIMO Channels

- Computer ScienceIEEE Transactions on Information Theory
- 2009

A general jointly correlated MIMO channel model, which does not require separable spatial correlations at the transmitter and receiver is considered, and an iterative water-filling algorithm with guaranteed convergence is developed.

### Outage mutual information of space-time MIMO channels

- Computer ScienceIEEE Transactions on Information Theory
- 2004

It is proved that at high signal-to-noise ratio (SNR), every factor of 2 increase in SNR leads to an increase in outage rate in the amount of min(M,N) bits, where M and N denote the number of transmit and receive antennas, respectively.

### Capacity scaling in MIMO Wireless systems under correlated fading

- Computer Science, BusinessIEEE Trans. Inf. Theory
- 2002

Results show that empirical capacities converge to the limit capacity predicted from the asymptotic theory even at moderate n = 16, and the assumption of separable transmit/receive correlations via simulations based on a ray-tracing propagation model is analyzed.

### On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas

- Computer ScienceWirel. Pers. Commun.
- 1998

Some basic information theory results that promise great advantages of using MEAs in wireless LANs and building to building wireless communication links are presented and standard approaches such as selection and optimum combining are seen to be deficient when compared to what will ultimately be possible.

### On the capacity of multi-antenna Gaussian channels

- Computer ScienceProceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)
- 2001

We investigate the use of multi-antennas at both ends of a point-to-point communication system over the additive Gaussian channel. We consider a system with t transmit antennas and r receive antennas…

### Overcoming interference in spatial multiplexing MIMO cellular networks

- BusinessIEEE Wireless Communications
- 2007

It is argued that many of the traditional interference management techniques have limited usefulness when viewed in concert with MIMO, and emerging system-level interference-reducing strategies based on cooperation will be important for overcoming interference in future spatial multiplexing cellular systems.