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A robust maximin approach for MIMO communications with imperfect channel state information based on convex optimization (2006)
| Venue: | IEEE Trans. Signal Processing |
| Citations: | 50 - 5 self |
BibTeX
@ARTICLE{Pascual-iserte06arobust,
author = {Antonio Pascual-iserte and Student Member and Daniel Pérez Palomar and Ana I. Pérez-neira and Senior Member and Miguel Ángel Lagunas},
title = {A robust maximin approach for MIMO communications with imperfect channel state information based on convex optimization},
journal = {IEEE Trans. Signal Processing},
year = {2006},
pages = {346--360}
}
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Abstract
Abstract—This paper considers a wireless communication system with multiple transmit and receive antennas, i.e., a mul-tiple-input-multiple-output (MIMO) channel. The objective is to design the transmitter according to an imperfect channel estimate, where the errors are explicitly taken into account to obtain a robust design under the maximin or worst case philosophy. The robust transmission scheme is composed of an orthogonal space–time block code (OSTBC), whose outputs are transmitted through the eigenmodes of the channel estimate with an appropriate power allocation among them. At the receiver, the signal is detected assuming a perfect channel knowledge. The optimization problem corresponding to the design of the power allocation among the estimated eigenmodes, whose goal is the maximization of the signal-to-noise ratio (SNR), is transformed to a simple convex problem that can be easily solved. Different sources of errors are considered in the channel estimate, such as the Gaussian noise from the estimation process and the errors from the quantization of the channel estimate, among others. For the case of Gaussian noise, the robust power allocation admits a closed-form expres-sion. Finally, the benefits of the proposed design are evaluated and compared with the pure OSTBC and nonrobust approaches. Index Terms—Antenna arrays, beamforming, convex optimiza-tion theory, maximum optimization problems, multiple-input multiple-output (MIMO) systems, saddle point, space–time coding, worst-case robust designs. I.
Keyphrases
mimo communication robust maximin approach imperfect channel state information convex optimization channel estimate gaussian noise pure ostbc power allocation estimation process wireless communication system space time signal-to-noise ratio orthogonal space time block code multiple transmit nonrobust approach robust design simple convex problem different source imperfect channel estimate worst-case robust design receive antenna index term antenna array robust transmission scheme perfect channel knowledge optimization problem maximum optimization problem case philosophy convex optimiza-tion theory appropriate power allocation closed-form expres-sion multiple-input multiple-output robust power allocation saddle point
