Constant-gap sum-capacity approximation of the deterministic interfering multiple access channel

Fritschek, Rick; Wunder, Gerhard

doi:10.1109/isit.2015.7282935

Cited by 3 publications

(1 citation statement)

References 20 publications

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“…of various Gaussian channels (i.e. [13], [14], [15], [16]). Moreover, in those examples the capacity can be approximated by the LDM such that it is within a constant bit-gap of the Gaussian channel.…”

Section: Introductionmentioning

confidence: 99%

On the Gaussian Multiple Access Wiretap Channel and the Gaussian Wiretap Channel With a Helper: Achievable Schemes and Upper Bounds

Fritschek

Wunder

2019

IEEE Trans.Inform.Forensic Secur.

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We study deterministic approximations of the Gaussian two-user multiple access wiretap channel (G-MAC-WT) and the Gaussian wiretap channel with a helper (G-WT-H). These approximations enable results beyond the recently shown 2/3 and 1/2 secure degrees of freedom (s.d.o.f.) for the G-MAC-WT and the G-WT-H, respectively. While the s.d.o.f. were obtained by real interference alignment, our approach uses signal-scale alignment. We show achievable schemes which are independent of the rationality of the channel gains. Moreover, our results can differentiate between channel strengths, in particular between both users, and will establish secrecy rates dependent on this difference. We can show that the resulting achievable secrecy rates tend to the s.d.o.f. for vanishing channel gain differences. Moreover, we extend previous and develop new techniques to prove generalized s.d.o.f. bounds for varying channel strengths and show that our achievable schemes reach the bounds for certain channel gain parameters. We believe that our analysis is the next step towards a constant-gap analysis of the G-MAC-WT and the G-WT-H.

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Section: Introductionmentioning

confidence: 99%

On the Gaussian Multiple Access Wiretap Channel and the Gaussian Wiretap Channel With a Helper: Achievable Schemes and Upper Bounds

Fritschek

Wunder

2019

IEEE Trans.Inform.Forensic Secur.

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Enabling the Multi-User Generalized Degrees of Freedom in Cellular Interference Networks with Multi-User Coding

Fritschek

Wunder

2016

Communications in Interference Limited Networks

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A Unified Theory of Multiple-Access and Interference Channels via Approximate Capacity Regions for the MAC-IC-MAC

Pang

Varanasi

2019

IEEE Trans. Inform. Theory

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Approximate capacity regions are established for a class of interfering multiple access channels consisting of two multiple-access channels (MACs), each with an arbitrary number of transmitters, with one transmitter in each MAC causing interference to the receiver of the other MAC, a channel we refer to henceforth as the MAC-IC-MAC. For the discrete memoryless (DM) MAC-IC-MAC, two inner bounds are obtained that are generalizations of prior inner bounds for the twouser DM interference channel (IC) due to Chong et al. For the semi-deterministic MAC-IC-MAC, it is shown that singleuser coding at the non-interfering transmitters and superposition coding at the interfering transmitter of each MAC achieves a rate region that is within a quantifiable gap of the capacity region, thereby extending such a result for the two-user semideterministic IC by Telatar and Tse. For the Gaussian MAC-IC-MAC, an approximate capacity region that is within a constant gap of the capacity region is obtained, generalizing such a result for the two-user Gaussian IC by Etkin et al. Contrary to the aforementioned approximate capacity results for the two-user IC whose achievability requires the union of all admissible input distributions, our gap results on the semi-deterministic and the Gaussian MAC-IC-MAC are achievable by only a subset and one of all admissible coding distributions, respectively. The symmetric generalized degrees of freedom (GDoF) of the symmetric Gaussian MAC-IC-MAC with more than one user per cell, which is a function of the interference strength (the ratio of INR to SNR at high SNR, both expressed in dB) and the numbers of users in each cell, is V-shaped with flat shoulders. An analysis based on signallevel partitions shows that the non-interfering transmitters utilize the signal-level partitions at the receiver where they are intended that cannot be accessed by the interfering transmitters (due to the restriction of superposition coding), thereby improving the sum symmetric GDoF to up to one degree of freedom per cell under a range of SINR exponent levels, which in turn becomes wider as the number of transmitters in each cell increases. Consequently, time-sharing between interfering and non-interfering transmitters is GDoF-suboptimal in general, as is time-sharing between the two embedded MAC-Z-MACs.Index Terms-Approximate capacity, capacity bounds, interfering multiple-access channels, generalized degrees of freedom.

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Constant-gap sum-capacity approximation of the deterministic interfering multiple access channel

Cited by 3 publications

References 20 publications

On the Gaussian Multiple Access Wiretap Channel and the Gaussian Wiretap Channel With a Helper: Achievable Schemes and Upper Bounds

On the Gaussian Multiple Access Wiretap Channel and the Gaussian Wiretap Channel With a Helper: Achievable Schemes and Upper Bounds

Enabling the Multi-User Generalized Degrees of Freedom in Cellular Interference Networks with Multi-User Coding

A Unified Theory of Multiple-Access and Interference Channels via Approximate Capacity Regions for the MAC-IC-MAC

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