On the Capacity of MIMO Optical Wireless Channels

Abstract : This paper studies the capacity of a general multiple-input multiple-output (MIMO) free-space optical intensity channel under a per-input-antenna peak-power constraint and a total average-power constraint over all input antennas. The main focus is on the scenario with more transmit than receive antennas. In this scenario, different input vectors can yield identical distributions at the output, when they result in the same image vector under multiplication by the channel matrix. We first determine the most energy-efficient input vectors that attain each of these image vectors. Based on this, we derive an equivalent capacity expression in terms of the image vector, and establish new lower and upper bounds on the capacity of this channel. The bounds match when the signal-to-noise ratio (SNR) tends to infinity, establishing the high-SNR asymptotic capacity. We also characterize the low-SNR slope of the capacity of this channel.
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Submitted on : Thursday, October 10, 2019 - 11:21:43 AM
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Longguang Li, Stefan Moser, Ligong Wang, Michèle Wigger. On the Capacity of MIMO Optical Wireless Channels. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, In press, ⟨10.1109/ITW.2018.8613496⟩. ⟨hal-02310510⟩

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