789 research outputs found
Optimal Transmit Covariance for Ergodic MIMO Channels
In this paper we consider the computation of channel capacity for ergodic
multiple-input multiple-output channels with additive white Gaussian noise. Two
scenarios are considered. Firstly, a time-varying channel is considered in
which both the transmitter and the receiver have knowledge of the channel
realization. The optimal transmission strategy is water-filling 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.Comment: 22 pages, 14 figures, Submitted to IEEE Transactions on Information
Theor
Outage Capacity and Optimal Transmission for Dying Channels
In wireless networks, communication links may be subject to random fatal
impacts: for example, sensor networks under sudden power losses or cognitive
radio networks with unpredictable primary user spectrum occupancy. Under such
circumstances, it is critical to quantify how fast and reliably the information
can be collected over attacked links. For a single point-to-point channel
subject to a random attack, named as a \emph{dying channel}, we model it as a
block-fading (BF) channel with a finite and random delay constraint. First, we
define the outage capacity as the performance measure, followed by studying the
optimal coding length such that the outage probability is minimized when
uniform power allocation is assumed. For a given rate target and a coding
length , we then minimize the outage probability over the power allocation
vector \mv{P}_{K}, and show that this optimization problem can be cast into a
convex optimization problem under some conditions. The optimal solutions for
several special cases are discussed.
Furthermore, we extend the single point-to-point dying channel result to the
parallel multi-channel case where each sub-channel is a dying channel, and
investigate the corresponding asymptotic behavior of the overall outage
probability with two different attack models: the independent-attack case and
the -dependent-attack case. It can be shown that the overall outage
probability diminishes to zero for both cases as the number of sub-channels
increases if the \emph{rate per unit cost} is less than a certain threshold.
The outage exponents are also studied to reveal how fast the outage probability
improves over the number of sub-channels.Comment: 31 pages, 9 figures, submitted to IEEE Transactions on Information
Theor
MGF Approach to the Analysis of Generalized Two-Ray Fading Models
We analyze a class of Generalized Two-Ray (GTR) fading channels that consist
of two line of sight (LOS) components with random phase plus a diffuse
component. We derive a closed form expression for the moment generating
function (MGF) of the signal-to-noise ratio (SNR) for this model, which greatly
simplifies its analysis. This expression arises from the observation that the
GTR fading model can be expressed in terms of a conditional underlying Rician
distribution. We illustrate the approach to derive simple expressions for
statistics and performance metrics of interest such as the amount of fading,
the level crossing rate, the symbol error rate, and the ergodic capacity in GTR
fading channels. We also show that the effect of considering a more general
distribution for the phase difference between the LOS components has an impact
on the average SNR.Comment: 14 pages, 8 Figures and 2 Tables. This work has been accepted for
publication at IEEE Transactions on Wireless Communications. Copyright (c)
2014 IEEE. Personal use of this material is permitted. However, permission to
use this material for any other purposes must be obtained from the IEEE by
sending a request to [email protected]
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