Elements of information theory
Elements of information theory
Capacity and coding for quantized MIMO systems
Proceedings of the 2006 international conference on Wireless communications and mobile computing
Low-SNR capacity of noncoherent fading channels
IEEE Transactions on Information Theory
Noncoherent capacity of underspread fading channels
IEEE Transactions on Information Theory
Monobit digital receivers for ultrawideband communications
IEEE Transactions on Wireless Communications
Capacity and mutual information of wideband multipath fading channels
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Spectral efficiency in the wideband regime
IEEE Transactions on Information Theory
Second-order asymptotics of mutual information
IEEE Transactions on Information Theory
Analysis of multiple-antenna wireless links at low SNR
IEEE Transactions on Information Theory
System design considerations for ultra-wideband communication
IEEE Communications Magazine
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We consider general multi-antenna fading channels with coarsely quantized outputs, where the channel is unknown to the transmitter and receiver. This analysis is of interest in the context of sensor network communication where low power and low cost are key requirements (e.g, standard IEEE 802.15.4 applications). This is also motivated by highly energy constrained communications devices where sampling the signal may be more energy consuming than processing or transmitting it. Therefore the analog-to-digital converters (ADCs) for such applications should be low-resolution, in order to reduce their cost and power consumption. In this paper, we consider the extreme case of only 1-bit ADC for each receive signal component. We derive asymptotics of the mutual information up to the second order in the signal-to-noise ratio (SNR) under average and peak power constraints and study the impact of quantization. We show that up to second order in SNR, the mutual information of a system with two-level (sign) output signals incorporates only a power penalty factor of almost π/2 (1.96 dB) com pared to the system with infinite resolution for all channels of practical interest. This generalizes a recent result for the coherent case [1].