On the capacity of the cognitive Z-interference channel

Vaezi, Mojtaba; Vu, Mai

doi:10.1109/cwit.2011.5872117

Cited by 13 publications

(22 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Consider a two-user cognitive Gaussian interference channel in which b = 0, as shown in Figure 5. The capacity region of this channel is established in several ranges of interference gain [14][15][16][17]; these results are summarized in Table 2. While in the low interference regime a combination of dirty paper coding and superposition coding is the capacityachieving scheme, in the high interference regime superposition coding single-handedly can achieve the capacity region.…”

Section: Gaussian Z-channelmentioning

confidence: 99%

NOMA: An Information-Theoretic Perspective

Vaezi

Poor

2018

Multiple Access Techniques for 5G Wireless Networks and Beyond

Self Cite

View full text Add to dashboard Cite

Information-theoretic limits of cognitive radio networks have been under exploration since more than a decade ago. Although such limits are unknown for many networks, including the simplest case with two pairs of transmitter-receiver, there are several cases for which the capacity limits are obtained either exactly or up to a constant gap. The goal of this chapter is to provide insights into the nature of transmission techniques associated with optimal communication when cognitive radio technology is used. Outlining the state of the art in the information-theoretic analysis of different cognitive systems, we highlight the salient features/points of the capacity-achieving or capacity-approaching strategies that should be considered in wireless network design paradigms based on this technology. In particular, we emphasize on the interaction of cognitive radio with emerging technologies for 5G networks. * E-mail address: mvaezi@princeton.edu arXiv:2001.09261v1 [cs.IT] 25 Jan 2020 i Cognitive Radio Network ParadigmsDepending on the type of available network side information and the regulatory constraints, cognitive radio networks can be divided into three main paradigms [1]: interweave, underlay, and overlay. While in the last two cases, the cognitive users concurrently transmit over i Article Name 3 the same spectrum as the primary users, in the first case cognitive users use spectrum holes (temporary space-time frequency voids) for transmission.i 4 Authors Cognitive Radio Channels: Capacity Results and IntuitionsInformation theory provides a framework for analyzing the fundamental limits of communication. Fundamental limits can then be used as benchmarks for the operation of the desired communication system (cognitive radio networks here). This, in turns, allows researchers and engineers to measure to what extent a practical network is efficient and also guides them in the design and standardization phases. The two-user interference channel (IC) is a two-transmitter two-receiver network, in which each transmitter has an independent message for its respective receiver [3][4][5][6][7]. The transmitters do not have side information about the other user's communication. Since users communicate over a shared channel, they interfere with each other. In the cognitive radio communication setting, one transmitter (cognitive transmitter) is able to sense the environment and obtain side information about the other transmitter (noncognitive or primary transmitter). Such a communication channel is called cognitive interference channel, also known as interference channel with "unidirectional" cooperation, or simply cognitive channel. We formally define this channel and its derivatives in the following.

show abstract

Section: Gaussian Z-channelmentioning

confidence: 99%

NOMA: An Information-Theoretic Perspective

Vaezi

Poor

2018

Multiple Access Techniques for 5G Wireless Networks and Beyond

Self Cite

View full text Add to dashboard Cite

show abstract

“…In [8], [10], the authors extended this notion to the DM-CIC, and studied the case where the primary receiver is more capable than the secondary receiver. This led to the capacity of the GCZIC at very strong interference.…”

Section: B Less Noisy Dm-cicmentioning

confidence: 99%

“…This proves that superposition coding is the capacity-achieving scheme in the less noisy DM-CIC, as it is in the less noisy BC. Although for the primary-less-noisy DM-CIC capacity remains unknown, corresponding inner bound simplifies to an achievable region that has already been proved to be capacity-achieving in the special case of GCZIC [8], [10]. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

The capacity of less noisy cognitive interference channels

Vaezi

2012

2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton)

Self Cite

View full text Add to dashboard Cite

Abstract-Fundamental limits of the cognitive interference channel (CIC) with two pairs of transmitter-receiver have been under exploration for several years. In this paper, we study the discrete memoryless cognitive interference channel (DM-CIC) in which the cognitive transmitter non-causally knows the full message of the primary transmitter. The capacity of this channel is not known in general; it is only known in some special cases. Inspired by the concept of less noisy broadcast channel (BC), in this work we introduce the notion of less noisy cognitive interference channel. Unlike BC, due to the inherent asymmetry of the cognitive channel, two different less noisy channels are distinguishable; these are named the primaryless-noisy and cognitive-less-noisy channels. We derive capacity region for the latter case by introducing inner and outer bounds on the capacity of the DM-CIC and showing that these bounds coincide for the cognitive-less-noisy channel. Having established the capacity region, we prove that superposition coding is the optimal encoding technique.

show abstract

“…That's why many works focus on a simpler model the Z-interference channel where there is only one crossover link. Several variants of the Z-interference channel exist: for example, the Z channel, where the transmitter with a crossover link has messages for both receivers [2]- [7], and the cognitive Z-interference channel, where one transmitter knows the message of the other transmitter as well as its own message [8]- [10]. Finding the capacity region of the Z channel is more difficult than that of the Z-interference channel since the Z channel contains the Z-interference channel as a special case.…”

Section: Introductionmentioning

confidence: 99%

Bounds and capacity results for the cognitive Z channel

Cheng

Liu

2012

2012 IEEE International Conference on Communications (ICC)

View full text Add to dashboard Cite

We study the discrete memoryless Z channel where the non-broadcasting transmitter is cognitive and knows both messages of the broadcasting transmitter. We call this the cognitive Z channel. We first propose inner and outer bounds on the capacity of the cognitive Z channel. The achievability scheme we propose consists of superposition encoding, Gel'fand-Pinsker encoding and Marton's encoding scheme for the broadcast channel. We then show that our inner and outer bounds on the capacity region is tight when the the receiver without a crossover link sees a noiseless channel.

show abstract

On the capacity of the cognitive Z-interference channel

Cited by 13 publications

References 11 publications

NOMA: An Information-Theoretic Perspective

NOMA: An Information-Theoretic Perspective

The capacity of less noisy cognitive interference channels

Bounds and capacity results for the cognitive Z channel

Contact Info

Product

Resources

About