Gaussian Z-Interference Channel With a Relay Link: Achievability Region and Asymptotic Sum Capacity

Zhou, Lei; Yu, Wei

doi:10.1109/tit.2011.2177578

Cited by 24 publications

(30 citation statements)

References 32 publications

(72 reference statements)

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“…In [21], both the encoders can cooperate through noiseless links with finite capacities and the outer bounds developed helps to establish the sum capacity of the channel within 2 bits per channel use. The role of cooperation between the receivers is investigated in [22], [23]. However, outer bounds on the secrecy capacity region of the 2-user Z-IC with unidirectional transmitter cooperation have not been addressed in the existing literature.…”

Section: A Prior Workmentioning

confidence: 99%

On the Secrecy Capacity Region of the Two-User Symmetric Z Interference Channel With Unidirectional Transmitter Cooperation

Mohapatra

Murthy

Lee

2017

IEEE Trans.Inform.Forensic Secur.

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This paper derives outer bounds on the secrecy capacity region of the 2-user Z interference channel (Z-IC) with rate-limited unidirectional cooperation between the transmitters. First, the model is studied under the linear deterministic setting. The derivation of the outer bounds on the secrecy capacity region involves careful selection of the side information to be provided to the receivers and using the secrecy constraints at the receivers in a judicious manner. To this end, a novel partitioning of the encoded messages and outputs is proposed for the deterministic model based on the strength of interference and signal. The obtained outer bounds are shown to be tight using the achievable scheme derived by the authors in a previous work. Using the insight obtained from the deterministic model, outer bounds on the secrecy capacity region of the 2-user Gaussian Z-IC are obtained. The equivalence between the outer bounds for both the models is also established. It is also shown that secrecy constraint at the receiver does not hurt the capacity region of the 2-user Z-IC for the deterministic model in the weak/moderate interference regime. On the other hand, the outer bounds developed for the Gaussian case shows that secrecy constraint at the receiver can reduce the capacity region for the weak/moderate interference regime. The study of the relative performance of these bounds reveals insight into the fundamental limits of the 2-user Z-IC with limited rate transmitter cooperation.

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Section: A Prior Workmentioning

confidence: 99%

On the Secrecy Capacity Region of the Two-User Symmetric Z Interference Channel With Unidirectional Transmitter Cooperation

Mohapatra

Murthy

Lee

2017

IEEE Trans.Inform.Forensic Secur.

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“…Parameter W = Ws Wm represents the bandwidth ratio of the side-channel to that of the main-channel, where W ∈ [0, W max ]. 1 A similar approach is also adopted in [11] for Z-interference channel with a relay link.…”

Section: System Modelmentioning

confidence: 99%

Distributed Full-Duplex via Wireless Side-Channels: Bounds and Protocols

Bai

Sabharwal

2013

IEEE Trans. Wireless Commun.

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Abstract-In this paper, we study a three-node full-duplex network, where a base station is engaged in simultaneous upand downlink communication in the same frequency band with two half-duplex mobile nodes. To reduce the impact of internode interference between the two mobile nodes on the system capacity, we study how an orthogonal side-channel between the two mobile nodes can be leveraged to achieve full-duplex-like multiplexing gains. We propose and characterize the achievable rates of four distributed full-duplex schemes, labeled bin-andcancel, compress-and-cancel, estimate-and-cancel and decodeand-cancel. Of the four, bin-and-cancel is shown to achieve within 1 bit/s/Hz of the capacity region for all values of channel parameters. In contrast, the other three schemes achieve the near-optimal performance only in certain regimes of channel values. Asymptotic multiplexing gains of all proposed schemes are derived to show that the side-channel is extremely effective in regimes where inter-node interference has the highest impact.

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“…Meanwhile, [7] analyzes the capacity region of discrete-memoryless IC. Some researchers have focused on the capacity region of degraded IC, e.g., Z-IC [8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Achievable Rates of Gaussian Interference Channel with Multi‐Layer Rate‐Splitting and Successive Simple Decoding

Fei

2018

Wireless Communications and Mobile Computing

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The capacity bound of the Gaussian interference channel (IC) has received extensive research interests in recent years. Since the IC model consists of multiple transmitters and multiple receivers, its exact capacity region is generally unknown. One well-known capacity achieving method in IC is Han-Kobayashi (H-K) scheme, which applies two-layer rate-splitting (RS) and simultaneous decoding (SD) as the pivotal techniques and is proven to achieve the IC capacity region within 1 bit. However, the computational complexity of SD grows exponentially with the number of independent signal layers, which is not affordable in practice. To this end, we propose a scheme which employs multi-layer RS at the transmitters and successive simple decoding (SSD) at the receivers in the two-transmitter and two-receiver IC model and then study the achievable sum capacity of this scheme. Compared with the complicated SD, SSD regards interference as noise and thus has linear complexity. We first analyze the asymptotic achievable sum capacity of IC with equal-power multi-layer RS and SSD, where the number of layers approaches to infinity. Specifically, we derive the closed-form expression of the achievable sum capacity of the proposed scheme in symmetric IC, where the proposed scheme only suffers from a little capacity loss compared with SD. We then present the achievable sum capacity with finite-layer RS and SSD. We also derive the sufficient conditions where employing finite-layer RS may even achieve larger sum capacity than that with infinite-layer RS. Finally, numerical simulations are proposed to validate that multi-layer RS and SSD are not generally weaker than SD with respect to the achievable sum capacity, at least for some certain channel gain conditions of IC.

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Gaussian Z-Interference Channel With a Relay Link: Achievability Region and Asymptotic Sum Capacity

Cited by 24 publications

References 32 publications

On the Secrecy Capacity Region of the Two-User Symmetric Z Interference Channel With Unidirectional Transmitter Cooperation

On the Secrecy Capacity Region of the Two-User Symmetric Z Interference Channel With Unidirectional Transmitter Cooperation

Distributed Full-Duplex via Wireless Side-Channels: Bounds and Protocols

Achievable Rates of Gaussian Interference Channel with Multi‐Layer Rate‐Splitting and Successive Simple Decoding

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