An Upper Bound on the Capacity of the Causal Dirty-Paper Channel

Kesal, Mustafa; Erez, Uri

doi:10.1109/tit.2011.2162261

Cited by 1 publication

(2 citation statements)

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“…We note that, in most of these examples (with the exception of [26]), the capacity upper bounds are trivial. In particular, in all the above examples of channels with noncausal CSI, capacity upper bounds are obtained by revealing the CSI also to the receiver.…”

Section: Introductionmentioning

confidence: 98%

“…There, noncausal CSI again increases the capacity to that with CSI on both sides, hence the additive state can be completely canceled using only noncausal CSI at the transmitter. The capacity of this channel with causal CSI is unknown, and an upper bound was given in [26]. A third example is the above-mentioned Poisson channel with spurious arrivals [13].…”

Section: Introductionmentioning

confidence: 99%

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The Poisson Channel With Varying Dark Current Known to the Transmitter

Wang

2019

IEEE Trans. Inform. Theory

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This paper studies the continuous-time Poisson channel whose dark current is random and may change for every τ -second time interval, where the actual values of the dark current are known to the transmitter as channel-state information (CSI). In the limit where τ tends to zero, the capacity gain provided by both causal and noncausal CSI is shown to vanish linearly with τ , so CSI at the transmitter provides almost no capacity improvement. The paper also considers a related problem of the state-dependent very noisy channel. In the "very noisy" limit, the capacity gain provided by noncausal CSI is shown to be same as that provided by causal CSI.

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%