Closed-Form Capacity Bounds for the Exponential Version of the Dirty Paper Channel

Monemizadeh, Mostafa; Fehri, Hamed

doi:10.1109/lwc.2020.2981078

Cited by 1 publication

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References 9 publications

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“…In [11] closed‐form capacity bounds for an exponential version of the dirty paper channel is presented. This channel can be used to model the non‐coherent Gaussian dirty paper channel.…”

Section: Introductionmentioning

confidence: 99%

The inner and outer bounds on the capacity of the 3‐user GBC‐SKT with unequal state variances

Ghabeli

2021

IET Communications

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The "Gaussian BroadCast channel (GBC) with States non-causally Known at the Transmitter" (GBC-SKT) introduces Gaussian broadcast channel with additive i.i.d. Gaussian states non-causally known at the transmitter. In this model additive interferences on links are considered as states which are only non-causally known to the transmitter. Such cases are encountered in, e.g., wireless multiple-antenna multicasting scenario. Previously the approximate capacity of the K-user GBC-SKT has been studied where all states but one are assumed to have the same variance. In this work, the capacity of the 3-user GBC-SKT channel communicating only common messages is studied. All three states are assumed to have different variances. The key point is how to simultaneously pre-code the common message against three states. Two transmission strategies are proposed by combination of power-sharing and time-sharing methods and two inner bounds are derived. From analytical and simulation results it is seen that one inner bound outperforms the other inner bound. Moreover, the outer bound on the capacity of this channel is driven and the conditions on the state variances for which, the capacity of the 3-user GBC-SKT channel is derived to within 1 bpcu, are extracted. INTRODUCTIONIn the 'Writing on Dirty Paper' (WDP) channel [1], a channel with output Y = X + S + Z was examined, the state S and the noise Z are Gaussian random variables. If S is known to the encoder, it does not reduce the capacity of the channel and the capacity is shown to be the capacity of a standard Gaussian channel, even though S is unknown to the receiver.The same coding technique as the one used for the WDP channel has also been used to attain the capacity of the Gaussian BroadCast (GBC) channel [2, 3] which is a degraded Broad-Cast (BC) channel. The 'GBC with States non-causally Known at the Transmitter' (GBC-SKT) is the combination of the GBC and Costa's WDP channels. The 2-user GBC-SKT is studied in [4] where inner bounds combining Marton coding are derived. The authors of [4] also derived the capacity for the model with statistically equivalent channel outputs in which only private messages are sent over the channel.This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Section: Introductionmentioning

confidence: 99%

The inner and outer bounds on the capacity of the 3‐user GBC‐SKT with unequal state variances

Ghabeli

2021

IET Communications

View full text Add to dashboard Cite

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Closed-Form Capacity Bounds for the Exponential Version of the Dirty Paper Channel

Cited by 1 publication

References 9 publications

The inner and outer bounds on the capacity of the 3‐user GBC‐SKT with unequal state variances

The inner and outer bounds on the capacity of the 3‐user GBC‐SKT with unequal state variances

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