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Multiple Antenna Broadcast Channels with Random Channel Side Information

The performance of multiple input single output (MISO) broadcast channels is strongly dependent on the availability of channel side
information (CSI) at the transmitter. In many practical systems, CSI may be available to the transmitter only in a corrupted and
incomplete form. It is natural to assume that the flaws in the CSI are random and can be represented by a probability distribution
over the channel. This work is concerned with two key issues concerning MISO broadcast systems with random CSI: performance analysis and system design. First, the impact of noisy channel information on system performance is investigated. A simple model is formulated where the channel is Rayleigh fading, the CSI is corrupted by additive white Gaussian noise and a zero forcing precoder is formed by the noisy CSI. Detailed analysis of the
ergodic rate and outage probability of the system is given. Particular attention is given to system behavior at asymptotically
high SNR. Next, a method to construct precoders in a manner that accounts for the uncertainty in the channel information is
developed. A framework is introduced that allows one to quantify the tradeoff between the risk (due to the CSI randomness) that is
associated with a precoder and the resulting transmission rate. Using ideas from modern portfolio theory, the risk-rate problem is
modified to a tractable mean-variance optimization problem. Thus, we give a method that allows one to efficiently find a good
precoder in the risk-rate sense. The technique is quite general and applies to a wide range of CSI probability distributions.

Identiferoai:union.ndltd.org:TORONTO/oai:tspace.library.utoronto.ca:1807/31936
Date11 January 2012
CreatorsShalev Housfater, Alon
ContributorsLim, Teng Joon
Source SetsUniversity of Toronto
Languageen_ca
Detected LanguageEnglish
TypeThesis

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