Two-user communication channels

Satō, Hiroshi

doi:10.1109/tit.1977.1055710

Cited by 159 publications

(120 citation statements)

References 8 publications

Supporting

Mentioning

117

Contrasting

Order By: Relevance

“…We use the Shannon model of channel communication [10] to describe these channels, for which we follow the notation of [11] (in turn based on [12]). The basic model of a two sender-receiver pair channel is depicted in figure 3.…”

Section: Notationmentioning

confidence: 99%

Quantum and superquantum enhancements to two-sender, two-receiver channels

Quek

2017

Phys. Rev. A

View full text Add to dashboard Cite

We study the consequences of 'super-quantum non-local correlations' as represented by the PR-box model of Popescu and Röhrlich, and show PR-boxes can enhance the capacity of noisy interference channels between two senders and two receivers. PR-box correlations violate Bell/CHSH inequalities and are thus stronger -more non-local -than quantum mechanics; yet weak enough to respect special relativity in prohibiting faster-than-light communication. Understanding their power will yield insight into the non-locality of quantum mechanics. We exhibit two proof-of-concept channels: first, we show a channel between two sender-receiver pairs where the senders are not allowed to communicate, for which a shared super-quantum bit (a PR-box) allows perfect communication. This feat is not achievable with the best classical (senders share no resources) or quantum entanglement-assisted (senders share entanglement) strategies. Second, we demonstrate a class of channels for which a tunable parameter ǫ achieves a double separation of capacities; for some range of ǫ, the super-quantum assisted strategy does better than the entanglement-assisted strategy, which in turn does better than the classical one.

show abstract

Section: Notationmentioning

confidence: 99%

Quantum and superquantum enhancements to two-sender, two-receiver channels

Quek

2017

Phys. Rev. A

View full text Add to dashboard Cite

show abstract

“…When both transmitters do not share each other's message, the information theoretic model falls into the interference channel [1,2] whose capacity remains open in a general case. A significant number of recent works have aimed at characterizing the achievable rates of the cognitive radio channel, i.e.…”

Section: Motivationmentioning

confidence: 99%

Vandermonde frequency division multiplexing for cognitive radio

Cardoso

Kobayashi

Ryan

et al. 2008

2008 IEEE 9th Workshop on Signal Processing Advances in Wireless Communications

View full text Add to dashboard Cite

We consider a cognitive radio scenario where a primary and a secondary user wish to communicate with their corresponding receivers simultaneously over frequency selective channels. Under realistic assumptions that the secondary transmitter has no side information about the primary's message and each transmitter knows only its local channels, we propose a Vandermonde precoder that cancels the interference from the secondary user by exploiting the redundancy of a cyclic prefix. Our numerical examples show that VFDM, with an appropriate design of the input covariance, enables the secondary user to achieve a considerable rate while generating zero interference to the primary user.

show abstract

“…However, it is usually difficult to compute the spectral inf-mutual information rates given in (9) and (10). In order to get insights into the interference channels, we make the following assumptions:…”

Section: The Algorithm To Compute Achievable Rate Pairsmentioning

confidence: 99%

An Information-Spectrum Approach to the Capacity Region of the Interference Channel

Lei

Liang

et al. 2017

Entropy

View full text Add to dashboard Cite

Abstract:In this paper, a general formula for the capacity region of a general interference channel with two pairs of users is derived, which reveals that the capacity region is the union of a family of rectangles. In the region, each rectangle is determined by a pair of spectral inf-mutual information rates. The presented formula provides us with useful insights into the interference channels in spite of the difficulty of computing it. Specially, when the inputs are discrete, ergodic Markov processes and the channel is stationary memoryless, the formula can be evaluated by the BCJR (Bahl-Cocke-Jelinek-Raviv) algorithm. Also the formula suggests that considering the structure of the interference processes contributes to obtaining tighter inner bounds than the simplest one (obtained by treating the interference as noise). This is verified numerically by calculating the mutual information rates for Gaussian interference channels with embedded convolutional codes. Moreover, we present a coding scheme to approach the theoretical achievable rate pairs. Numerical results show that the decoding gains can be achieved by considering the structure of the interference.

show abstract

Two-user communication channels

Cited by 159 publications

References 8 publications

Quantum and superquantum enhancements to two-sender, two-receiver channels

Quantum and superquantum enhancements to two-sender, two-receiver channels

Vandermonde frequency division multiplexing for cognitive radio

An Information-Spectrum Approach to the Capacity Region of the Interference Channel

Contact Info

Product

Resources

About