
On the Capacity of MIMO Optical Wireless Channels
This paper studies the capacity of a general multipleinput multipleout...
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Capacity bounds for bandlimited Gaussian channels with peaktoaveragepowerratio constraint
We revisit Shannon's problem of bounding the capacity of bandlimited Gau...
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Ergodic Capacity Analysis of FreeSpace Optical Links With Nonzero Boresight Pointing Errors
A unified capacity analysis of a freespace optical (FSO) link that acco...
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Capacity of Multiple OneBit Transceivers in a Rayleigh Environment
We analyze the channel capacity of a system with a large number of oneb...
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Golden Angle Modulation: Approaching the AWGN Capacity
In this work, targeting, e.g., future generation cellular, microwavelin...
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First optical reconstruction of dust in the region of SNR RX J1713.73946 from astrometric Gaia data
The origin of the radiation observed in the region of the supernova remn...
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Phase Transitions in Approximate Ranking
We study the problem of approximate ranking from observations of pairwis...
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Lower Bound on the Capacity of the ContinuousSpace SSFM Model of Optical Fiber
The capacity of a discretetime model of optical fiber described by the splitstep Fourier method (SSFM) as a function of the average input power 𝒫 and the number of segments in distance K is considered. It is shown that if K≥𝒫^2/3 and 𝒫→∞, the capacity of the resulting continuousspace lossless model is lower bounded by 1/2log_2(1+SNR)  1/2+ o(1), where o(1) tends to zero with the signaltonoise ratio SNR. As K→∞, the intrachannel signalnoise interactions average out to zero due to the law of large numbers and the SSFM model tends to a diagonal phase noise model. It follows that, in contrast to the discretespace model where there is only one signal degreeoffreedom (DoF) at high powers, the number of DoFs in the continuousspace model is at least half of the input dimension n. Intensitymodulation and direct detection achieves this rate. The prelog in the lower bound when K=𝒫^1/δ is generally characterized in terms of δ. We consider the SSFM model where the dispersion matrix does not depend on K, e.g., when the step size in distance is fixed. It is shown that the capacity of this model when K≥𝒫^3 and 𝒫→∞ is 1/2nlog_2(1+SNR)+ o(1). Thus, there is only one DoF in this model. Finally, it is shown that if the nonlinearity parameter γ→∞, the capacity of the continuousspace model is 1/2log_2(1+SNR)+ o(1) for any SNR.
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