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ABSTRACT: The paper introduces a new asymptotic series expansion for the mutual information of multiple-input multiple-output (MIMO) channels. The expansion approaches mutual information from below, and for low signal to noise ratio (SNR) first and second order terms give a tight lower bound. The low SNR approximation is used to derive a new water-filling power allocation at the transmitter for the case when the receiver and the transmitter have perfect channel state information. The low SNR approximation is also compared against existing approximations, while the new water-filling policy is related to minimum mean square decoding subject to power constraint.
IEEE Communications Letters 04/2011; · 0.98 Impact Factor
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ABSTRACT: In this paper, the mathematical framework for studying robust control over uncertain communication channels is introduced. The theory is developed by generalizing the classical information theoretic measures of information and the fundamental theory of Shannon to the robust analog, which are subject to uncertainty in the source and the communication channel. By invoking this mathematical framework, necessary conditions are presented for robust stabilizability and observability of fully-observed, finite dimensional, discrete-time invariant, noiseless uncertain linear systems over uncertain communication channels
Intelligent Control, 2005. Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation; 07/2005
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ABSTRACT: The objectives of this paper are twofold. First, to point out the significance of certain results on stochastic processes in computing the channel capacity for flat fading wireless channels. Next, to design an optimal encoding and decoding strategies for general sources, when the channel is perfectly known to both transmitter and receiver. We give an optimal encoding and decoding scheme with noiseless feedback achieving the channel capacity and consider the effect of feedback on decoding error. It turns out that the optimal encoding function has two parts: one part behaves as power control and the other part represents the decoding error.
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on; 01/2003