Bounds on Capacity Region of Optical Intensity Multiple Access Channel
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This paper provides new inner and outer bounds on the capacity region of optical intensity multiple access channel (OIMAC) with per-user average or peak power constraint. For the average power constrained OIMAC, our bounds at high power are asymptotically tight, thereby characterizing the asymptotic capacity region. The bounds are extended to K-user OIMAC with average power constraint without loss of asymptotic optimality. For the peak power constrained OIMAC, at high power, we bound the asymptotic capacity region to within 0.09 bits, and determine the asymptotic capacity region in the symmetric case. At moderate power, for both types of constraints, the capacity regions are bounded to within fairly small gaps. Our results are established based on capacity results of single-user channels, including 1) capacity bounds for optical intensity channels and peak power constrained Gaussian channels, and 2) capacity results of two specific additive noise channels where the noises obey certain maxentropic distributions.
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