Impact of Processing Energy on the Capacity of Wireless Channels

Energy eciency is an important issue in mobile wireless networks, since the battery life of mobile terminals is limited. In this paper, we address this issue from the information theoretic point of view. Traditional information theoretic energy constraints consider only the energy used for transmission purposes. We study optimal transmission strategies by explicitly taking into account the energy expended by processes other than transmission, that run when the transmitter is in the ‘on’ state. We term this energy by ‘processing energy’. Under these new constraints, we derive the capacity of an Additive White Gaussian Noise (AWGN) channel. We prove that, unlike the case where only transmission energy is taken into account, achieving capacity may require intermittent, or ‘bursty’, transmission. In particular, we show that in the low SNR regime, burstiness is optimal when the processing energy is greater than half the square of the total energy available to the transmitter.

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