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On the capacity of a direct-detection photon channel with intertransition-constrained binary input

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1 Author(s)
S. Shamai ; Dept. of Electr. Eng., Technion, Haifa, Israel

The classical directed detection photon channel is modeled by an output νt (observed signal) describing the photon-arrival Poisson (count) process with intensity (rate) λt0, where λt (photons/s) is the channel input (information carrying) intensity and λ0 (photons/s) is the dark current intensity. Upper and lower bounds on the capacity of this channel are presented for two-level (binary) inputs taking on the extreme value λt ∈ {0,A}, where A denotes the peak power satisfying an average power constraint Et)⩽σ and having no level intertransition intervals shorter than Δ s. The upper bounds are derived by exploiting a known relation between mutual information rates for (d, ∞) coded inputs, where d is selected to satisfy the intertransition constraint and to optimize the bounds. In the case of no intertransition constraint, the lower and upper bounds coincide with the known exact capacity

Published in:

IEEE Transactions on Information Theory  (Volume:37 ,  Issue: 6 )