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Abstract: The problem of energy-efficient precoding is investigated when the terminalsin the system are equipped with multiple antennas. Considering static andfast-fading multiple-input multiple-output MIMO channels, theenergy-efficiency is defined as the transmission rate to power ratio and shownto be maximized at low transmit power. The most interesting case is the one ofslow fading MIMO channels. For this type of channels, the optimal precodingscheme is generally not trivial. Furthermore, using all the available transmitpower is not always optimal in the sense of energy-efficiency which, in thiscase, corresponds to the communication-theoretic definition of thegoodput-to-power GPR ratio. Finding the optimal precoding matrices is shownto be a new open problem and is solved in several special cases: 1. when thereis only one receive antenna; 2. in the low or high signal-to-noise ratioregime; 3. when uniform power allocation and the regime of large numbers ofantennas are assumed. A complete numerical analysis is provided to illustratethe derived results and stated conjectures. In particular, the impact of thenumber of antennas on the energy-efficiency is assessed and shown to besignificant.

Author: E. V. Belmega, S. Lasaulce


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