Energy Efficiency Scaling Law for MIMO Broadcasting Channels

Details Energy Efficiency Scaling Law for MIMO Broadcasting Channels Energy Efficiency Scaling Law for MIMO Broadcasting Channels

2012-01-18

arxiv.org/abs/1201.3698v1

Computer Science

Information Theory

10 pages, submitted to IEEE Wireless Communications Letters

Scientific paper

This letter investigates the energy efficiency (EE) scaling law for the broadcasting channels (BC) with many users, in which the non-ideal transmit independent power consumption is taken into account. We first consider the single antenna case with $K$ users, and derive that the EE scales as $\frac{{\log_2 \ln K}}{\alpha}$ when $\alpha > 0$ and $\log_2 K$ when $\alpha = 0$, where $\alpha$ is the normalized transmit independent power. After that, we extend it to the general MIMO BC case with a $M$-antenna transmitter and $K$ users each with $N$ antennas. The scaling law becomes $\frac{{M \log_2 \ln NK}}{\alpha}$ when $\alpha > 0$ and $ \log_2 NK$ when $\alpha = 0$.

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