Joint Power and Bandwidth Allocation for Amplify-and-Forward Cooperative Communications Using Stackelberg Game

Al-Tous, Hanan; Barhumi, Imad

doi:10.1109/tvt.2012.2231104

Cited by 25 publications

(13 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Note that [144] also discussed BS selection, and further discussion can be found in [75]. The joint transmission power and bandwidth assignment problem for relay networks was discussed in [3]. Primary-secondary scenario [49] and heterogeneous network scenario [101], [181], [204] were also discussed.…”

Section: Multi-channel Systemsmentioning

confidence: 99%

A Comprehensive Survey of Potential Game Approaches to Wireless Networks

Yamamoto

2015

IEICE Trans. Commun.

View full text Add to dashboard Cite

SUMMARY Potential games form a class of non-cooperative games where the convergent of unilateral improvement dynamics is guaranteed in many practical cases. The potential game approach has been applied to a wide range of wireless network problems, particularly to a variety of channel assignment problems. In this paper, the properties of potential games are introduced, and games in wireless networks that have been proven to be potential games are comprehensively discussed. key words: potential game, game theory, radio resource management, channel assignment, transmission power control IntroductionThe broadcast nature of wireless transmissions causes cochannel interference and channel contention, which can be viewed as interactions among transceivers. Interactions among multiple decision makers can be formulated and analyzed using a branch of applied mathematics called game theory [61], [131]. Game-theoretic approaches have been applied to a wide range of wireless communication technologies, including transmission power control for code division multiple access (CDMA) cellular systems [153] and cognitive radios [132]. For a summary of game-theoretic approaches to wireless networks, we refer the interested reader to [68] [189].In this paper, we focus on potential games [126], which form a class of strategic form games with the following desirable properties:• The existence of a Nash equilibrium in potential games is guaranteed in many practical situations [126] (Theorems 1 and 2 in this paper), but is not guaranteed for general strategic form games. Example 2 in Sect. 2. We provide an overview of problems in wireless networks that can be formulated in terms of potential games. We also clarify the relations among games, and provide simpler proofs of some known results. Problem-specific learning algorithms [92], [168] are beyond the scope of this paper.The remainder of this paper is organized as follows: In Sect. 2, 3, and 4, we introduce strategic form games, potential games, and learning algorithms, respectively. We then discuss various potential games in Sects. 5 to 18, as shown in Table 1. Finally, we provide a few concluding remarks in Sect. 19.The notation used here is shown in Table 2. Unless the context indicates otherwise, sets of strategies are denoted by calligraphic uppercase letters, e.g., A i , strategies are denoted by lowercase letters, e.g., a i ∈ A i , and tuples of strategies are denoted by boldface lowercase letters, e.g., a. Note that a i is a scalar variable when A i is a set of scalars or indices, a i is a vector variable when A i is a set of vectors, and a i is a set variable when A i is a collection of sets.We use R to denote the set of real numbers, R + to denote the set of nonnegative real numbers, R ++ to denote the set of positive real numbers, and C to denote the set of complex numbers. The cardinality of set A is denoted by |A|. The power set of A is denoted by 2 A . Finally, ½condition is the indicator function, which is one when condition is true and is zero otherwise.We treat many sy...

show abstract

Section: Multi-channel Systemsmentioning

confidence: 99%

A Comprehensive Survey of Potential Game Approaches to Wireless Networks

Yamamoto

2015

IEICE Trans. Commun.

View full text Add to dashboard Cite

show abstract

“…Relay-assist cooperative communication can effectively extend communication coverage, and reduce the consumption of transmit power. It can also improve overall system throughput due to its exploiting spatial diversity and combating channel fading [1,2]. OFDM divides a wideband channel into some orthogonal narrow band subcarriers.…”

Section: Introductionmentioning

confidence: 99%

Linear Processing Design of Amplify-and-Forward Relays for Maximizing the System Throughput

Wang

Chen

Lan

2018

Journal of Electrical and Computer Engineering

View full text Add to dashboard Cite

In this paper, firstly, we study the linear processing of amplify-and-forward (AF) relays for the multiple relays multiple users scenario. We regard all relays as one special "relay", and then the subcarrier pairing, relay selection and channel assignment can be seen as a linear processing of the special "relay". Under fixed power allocation, the linear processing of AF relays can be regarded as a permutation matrix. Employing the partitioned matrix, we propose an optimal linear processing design for AF relays to find the optimal permutation matrix based on the sorting of the received SNR over the subcarriers from BS to relays and from relays to users, respectively. Then, we prove the optimality of the proposed linear processing scheme. Through the proposed linear processing scheme, we can obtain the optimal subcarrier paring, relay selection and channel assignment under given power allocation in polynomial time. Finally, we propose an iterative algorithm based on the proposed linear processing scheme and Lagrange dual domain method to jointly optimize the joint optimization problem involving the subcarrier paring, relay selection, channel assignment and power allocation. Simulation results illustrate that the proposed algorithm can achieve a perfect performance.

show abstract

“…In [11], the power and bandwidth allocation of amplify and forward (AF) single relay multi-user cooperative system is modeled as a Stackelberg market framework and a distributed scheme for power and bandwidth allocation is presented. In [12], the authors proposed a pricing framework for a wireless AF relay network with one relay and multiple users aiming to maximize the relay revenue or the desirable system utility.…”

Section: Introductionmentioning

confidence: 99%

Price-based power control in relay networks using Stackelberg game

Rahmati

Shah-Mansouri

2015

2015 23rd Iranian Conference on Electrical Engineering

View full text Add to dashboard Cite

In this paper, we study the problem of price-based power control between a source and a relay node under power constraint at relay side. The relay cooperate in transmission of packets from the source to the destination. The source node benefits from the cooperation rate that relay provides and the relay obtains a revenue for forwarding the information of the source to the destination. The source pays the cost of the power that the relay allocates to it for transmitting the information to destination. The relay works under half duplex mode of operation and transmits information using decode and forward (DF) protocol. The problem is to jointly maximize the utility of source and the relay subject to a maximum power constraint at relay side. The interaction between the source and the relay node is investigated using a non-cooperative game model. The strategic game model which is employed is the well-known Stackelberg game. The relay is considered as leader while the source serves as follower. The Stackelberg equilibrium (SE) of the proposed game is obtained using convex optimization and the closed-form solution is obtained for both the leader and the follower subgames. The numerical results evaluate our price-based power control.

show abstract

Joint Power and Bandwidth Allocation for Amplify-and-Forward Cooperative Communications Using Stackelberg Game

Cited by 25 publications

References 31 publications

A Comprehensive Survey of Potential Game Approaches to Wireless Networks

A Comprehensive Survey of Potential Game Approaches to Wireless Networks

Linear Processing Design of Amplify-and-Forward Relays for Maximizing the System Throughput

Price-based power control in relay networks using Stackelberg game

Contact Info

Product

Resources

About