Elsevier

Computer Networks

Volume 52, Issue 4, 14 March 2008, Pages 864-878
Computer Networks

QoS-aware distributed spectrum sharing for heterogeneous wireless cognitive networks

https://doi.org/10.1016/j.comnet.2007.11.008Get rights and content

Abstract

Ubiquitous wireless networking calls for efficient dynamic spectrum allocation (DSA) among heterogeneous users with diverse transmission types and bandwidth demands. To meet user-specific quality-of-service (QoS) requirements, the power and spectrum allocated to each user should lie inside a bounded region in order to be meaningful for the intended application. Most existing DSA methods aim at enhancing the total system utility. As such, spectrum wastage may arise when the system-wise optimal allocation falls outside individual users’ desired regions for QoS provisioning. The goal of this paper is to develop QoS-aware distributed DSA schemes using game-theoretic approach. We derive DSA solutions that respect QoS and avoid naively boosting or sacrificing some users’ utilities to maximize the network spectrum utilization. Specifically, we propose two game-based DSA algorithms: one resorts to proper scaling of the transmission power according to each user’s useful utility range, and the other embeds the QoS factor into the utility function used during gaming. To evaluate DSA schemes from a practical QoS perspective, we introduce two new metrics, namely “system useful utility” and “fraction of QoS-satisfied users”. Simulations confirm that the proposed DSA techniques outperform existing QoS-blind game models in terms of the spectrum sharing efficiency in heterogeneous networks. Convergence analysis of the proposed QoS-aware DSA algorithms is also provided.

Introduction

Current wireless networks are characterized by static spectrum allocation and limited user coordination, resulting in very low efficiency in radio spectrum utilization. The emerging paradigm of dynamic spectrum access (DSA) shows promise in alleviating today’s spectrum scarcity problem by ushering in new spectrum-agile networks [1], [2]. Equipped with cognitive radios, users in a network can sense and utilize the available spectrum adaptively [1]. In such an open spectrum approach, each user faces the intricate tradeoff between minimizing interference and maximizing spectrum utilization. This challenging DSA issue is further exacerbated in distributed networks where there is little or no central control over the allocation of wireless resources across users.

The key idea of DSA mechanisms is to dynamically adjust the transmission parameters (e.g., transmission power, channel and rate) of each user according to the behavior of other users sharing the same spectrum bands. Cognitive radios may utilize spectrum based on negotiated or opportunistic spectrum sharing, depending on whether the network is infrastructure-based or ad hoc (any-to-any), and whether the network comprises users of comparable requirements and access opportunities or follows a primary–secondary hierarchy in which primary users hold licenses for the spectrum. Secondary users would access spectrum opportunistically, when they determine that doing so would not adversely affect any primary spectrum holders. This paper deals with DSA among equally-coexisting users in open spectrum systems without a central spectrum controller.

From an information-theoretic viewpoint, the spectrum utilization efficiency of a radio can be measured by the achievable capacity, which is in turn determined by its received signal to interference and noise ratio (SINR) as well as its occupied spectrum bandwidth. In a distributed cognitive radio network, each radio decides on its transmission power and channels based on the sensed radio environment. Its decision not only impacts its own achievable capacity, but also affects that of its neighboring radios via negative interference. Hence, radio resource allocation is an interactive decision-making process, which can be suitably modeled as a multi-player game [2], [17]. Cognitive radios are game players, each of which adopts a capacity-related utility function and takes actions on the transmission power and spectrum occupancy from the action space consisting of available spectrum and allowable power. The tradeoffs between efficient spectrum utilization and interference control can be reflected in the formulation of the utility function employed by each game player, for example, via the introduction of the notion of “interference price” [6].

However, most existing game-based DSA methods aim at enhancing the overall network efficiency, defining the figure of merit to be the total system utility achieved by all users. As such, unbalanced channel allocation is likely to arise, that is, some users gain large portions of the total system utility whereas others get unfairly treated with little spectrum share. This issue is aggravated in a heterogeneous network consisting of users with diverse application-specific QoS requirements. Based on the existing figure of merit, a naive DSA scheme might allocate over-large resources to some users, exceeding the needs for their intended transmissions, while some other users might receive meager capacity below the minimum for successful transmissions. In both cases, the user utility corresponding to its allocated power and spectrum falls outside the acceptable range specified by the user-specific QoS, giving rise to radio resource wastage.

The objective of this paper is to develop distributed DSA solutions that efficiently utilize spectrum with QoS awareness for the distributed networks. We introduce QoS information into the game model to avoid spectrum wastage by proposing two DSA strategies: the QoS-ps-DSA algorithm performs external power scaling to modify the local decision made by each user in order to meet its QoS objective, and the QoSe-DSA algorithm embeds the QoS factor into the utility function so as to use QoS-aware strategies during gaming. The interference price concept is also borrowed to construct a secondary local objective for interference management. Simulations confirm that the proposed DSA techniques offer efficient spectrum sharing in heterogeneous networks with QoS constraints.

The rest of the paper is organized as follows. Section 2 briefly reviews the relevant DSA solutions in the literature. Section 3 describes the system model, while Section 4 gives a brief summary of the QoS-blind DSA algorithms, SC-ADP and MC-ADP [24], [25], [26]. Section 5 presents our proposed QoS-aware DSA algorithms based on distributed games. Section 6 analyzes the convergence properties of the proposed algorithms to Nash Equilibriums and in the limit of the number of users. Section 7 provides corroborating simulation results, followed by concluding remarks in Section 8.

Section snippets

Related work

As mentioned above, this paper deals with DSA among coexisting users in open spectrum systems without a central spectrum controller. DSA in such cognitive radio networks is based on multi-channel techniques, wherein the available spectrum is divided into several orthogonal channels (over frequency or code). One prevalent DSA approach is to dynamically allocate one channel exclusively to one user based on certain policies, which is termed spectrum-segregation DSA. Typical spectrum-segregation

System model

We consider a network of N spectrum-agile users sharing access to K orthogonal channels. Each user corresponds to one dedicated pair of transmitting and receiving nodes. Each active transmitter Ti, 1  i  N, intends to communicate with only one receiver Ri, while its transmission may interfere with other receivers tuned to the same channel. The distance between transmitter Ti and receiver Rj is denoted by dij. The transmission power of each user is constrained within the range [Pi,min, Pi,max], 0  Pi

SC-ADP and MC-ADP algorithms

Our solutions to QoS-aware DSA build upon the single-channel and multi-channel asynchronous distributed pricing algorithms SC-ADP and MC-ADP introduced in [24], [25]. We briefly summarize the results in [24], [25] in this section.

In game-based DSA, each user strives to maximize its own local utility defined by (2) or (3). However, the optimal solution for each individual user can deviate from the network-wise optimal solution to problem P1. This is because individually maximized utility

QoS aware DSA solutions

Emerging wireless networks call for ubiquitous access from heterogeneous users. Users sharing network resources may have application-specific QoS requirements, which can be translated into a set of user-specific predefined ranges of the desired rates/utilities Ri:[Ri,min,Ri,max],i=1,,N. Here Ri,min is the minimum transmission rate required for user i to have a successful transmission, while Ri,max is the maximum rate needed for user i to support its application. As such, the total system

Nash equilibrium and convergence of QoS-aware games

In game theory, it is essential to characterize the properties of steady-state Nash Equilibriums (NEs) in order to assess the game outcomes. Relevant issues include the existence, optimality, uniqueness of NEs, and whether a game implementation converges to the NEs.

Numerical results

This section presents numerical results that illustrate the performance of QoS-aware DSA solutions, with reference to ADP algorithms that are QoS-blind. In all tests, we set n0 = 10−2, hij = dij−4, and the feasible power range for each user is [Pi,min, Pi,max] = [0, 200] and the strategy (power on each channel) set is {0, 40, 80, 120, 160, 200} for any i. A number of K channels are available, each having the same bandwidth of 1 unit. A number of N transmitters are uniformly distributed within a 10 m × 10 m2

Summary

Taking a game approach, we have proposed two QoS-aware distributed DSA schemes for heterogeneous wireless networks with user-specific QoS. The proposed schemes either resort to external power scaling or embed the QoS information in the utility function, both using the useful utility as local objectives. Interference pricing is incorporated into our schemes as a secondary objective to differentiate multiple actions yielding the same utility. When both objectives are optimized, the proposed

Chao Zou received his B.S. degree in Information Engineering and M.S. degree in Power Electronics Engineering from Shanghai Jiaotong University in 2004 and 2006, respectively. Since September 2006, he has been a Ph.D. student in the Electrical and Computer Engineering Department, Michigan Technological University. His research interests include adaptive network protocol design for cognitive radio networks and wireless network security.

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    Chao Zou received his B.S. degree in Information Engineering and M.S. degree in Power Electronics Engineering from Shanghai Jiaotong University in 2004 and 2006, respectively. Since September 2006, he has been a Ph.D. student in the Electrical and Computer Engineering Department, Michigan Technological University. His research interests include adaptive network protocol design for cognitive radio networks and wireless network security.

    Tao Jin received his B.S. degree in Computer Science from the Peking University, Beijing, China, in 2005. From 2005 to 2006, he was in the Ph.D. program in the Department of Electrical and Computer Engineering, Michigan Technological University. His research at Michigan Tech focused on cognitive radio networks and wireless security. Tao is currently pursuing his Ph.D. degree in the College of Computer and Information Science, Northeastern University. His current research focuses on vehicular networks and proximity networks.

    Chunxiao Chigan is presently an Assistant Professor of Electrical and Computer Engineering at Michigan Tech. Her research interests include vehicular ad hoc networks, wireless ad hoc and mesh networks, wireless network security, adaptive network protocol design for cognitive radio networks, and network resource allocation and management. She received the M.S. and Ph.D. degrees in Electrical Engineering from the State University of New York, Stony Brook, in 2000 and 2002, respectively. Dr. Chigan is a recipient of Michigan Tech Research Excellent Fund (REF) Award (2004), and the National Science Foundation CAREER Award (2007).

    Zhi Tian received the B.E. degree in Electrical Engineering from the University of Science and Technology of China, Hefei, China, in 1994, the M.S. and Ph.D. degrees from George Mason University, Fairfax, VA, in 1998 and 2000, respectively. Since August 2000, she has been with the department of Electrical and Computer Engineering, Michigan Technological University, where she is currently an Associate Professor. Her current research focuses on signal processing for wireless communications, particularly on cognitive radio networks, ultra-wideband systems, and distributed sensor processing and networking. She serves as an Associate Editor for the IEEE Transactions on Signal Processing and the IEEE Transactions on Wireless Communications. She is the recipient of a 2003 US NSF CAREER award.

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