Breaking Spectrum Gridlock With Cognitive Radios: An Information Theoretic Perspective

Cognitive radios hold tremendous promise for increasing spectral efficiency in wireless systems. This paper surveys the fundamental capacity limits and associated transmission techniques for different wireless network design paradigms based on this promising technology. These paradigms are unified by the definition of a cognitive radio as an intelligent wireless communication device that exploits side information about its environment to improve spectrum utilization. This side information typically comprises knowledge about the activity, channels, codebooks, and/or messages of other nodes with which the cognitive node shares the spectrum. Based on the nature of the available side information as well as a priori rules about spectrum usage, cognitive radio systems seek to underlay, overlay, or interweave the cognitive radios' signals with the transmissions of noncognitive nodes. We provide a comprehensive summary of the known capacity characterizations in terms of upper and lower bounds for each of these three approaches. The increase in system degrees of freedom obtained through cognitive radios is also illuminated. This information-theoretic survey provides guidelines for the spectral efficiency gains possible through cognitive radios, as well as practical design ideas to mitigate the coexistence challenges in today's crowded spectrum.

[1]  Syed Ali Jafar,et al.  Degrees of Freedom of the MIMO Interference Channel With Cooperation and Cognition , 2009, IEEE Transactions on Information Theory.

[2]  Patrick Mitran,et al.  Cognitive Decompiosition of Wirless Networks , 2006, 2006 1st International Conference on Cognitive Radio Oriented Wireless Networks and Communications.

[3]  Ayfer Özgür,et al.  Hierarchical Cooperation Achieves Optimal Capacity Scaling in Ad Hoc Networks , 2006, IEEE Transactions on Information Theory.

[4]  A. Sridharan Broadcast Channels , 2022 .

[5]  E. Meulen,et al.  Three-terminal communication channels , 1971, Advances in Applied Probability.

[6]  Amir K. Khandani,et al.  Signaling over MIMO Multi-Base Systems: Combination of Multi-Access and Broadcast Schemes , 2006, 2006 IEEE International Symposium on Information Theory.

[7]  A. Sahai,et al.  On the Need for Knowledge of the Phase in Exploiting Known Primary Transmissions , 2007, 2007 2nd IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks.

[8]  Syed A. Jafar,et al.  Degrees of freedom of the MIMO interference channel with cooperation and cognition , 2009, IEEE Trans. Inf. Theory.

[9]  Jinhua Jiang,et al.  Interference Channels With Common Information , 2006, IEEE Transactions on Information Theory.

[10]  Zhu Qi,et al.  Power Control for Cognitive Radio Base on Game Theory , 2007, 2007 International Conference on Wireless Communications, Networking and Mobile Computing.

[11]  Hiroshi Sato,et al.  Two-user communication channels , 1977, IEEE Trans. Inf. Theory.

[12]  A. Sahai,et al.  SNR Walls for Feature Detectors , 2007, 2007 2nd IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks.

[13]  Te Sun Han,et al.  A new achievable rate region for the interference channel , 1981, IEEE Trans. Inf. Theory.

[14]  Venugopal V. Veeravalli,et al.  Gaussian interference networks: sum capacity in the low-interference regime and new outer bounds on the capacity region , 2009, IEEE Trans. Inf. Theory.

[15]  R. M. Buehrer,et al.  Game theoretic analysis of a network of cognitive radios , 2002, The 2002 45th Midwest Symposium on Circuits and Systems, 2002. MWSCAS-2002..

[16]  Syed Ali Jafar,et al.  Soft Sensing and Optimal Power Control for Cognitive Radio , 2010, IEEE Transactions on Wireless Communications.

[17]  Anant Sahai,et al.  Cooperative Sensing among Cognitive Radios , 2006, 2006 IEEE International Conference on Communications.

[18]  Anant Sahai,et al.  SNR Walls for Signal Detection , 2008, IEEE Journal of Selected Topics in Signal Processing.

[19]  Syed A. Jafar,et al.  Interference Alignment and the Degrees of Freedom for the 3 User Interference Channel , 2007 .

[20]  Patrick Mitran,et al.  Information Theoretic Analysis of Cognitive Radio Systems , 2007 .

[21]  Paul J. Kolodzy,et al.  Interference temperature: a metric for dynamic spectrum utilization , 2006, Int. J. Netw. Manag..

[22]  Anant Sahai,et al.  What is needed to exploit knowledge of primary transmissions? , 2007, ArXiv.

[23]  Aydano B. Carleial,et al.  Interference channels , 1978, IEEE Trans. Inf. Theory.

[24]  Simon Haykin,et al.  Cognitive radio: brain-empowered wireless communications , 2005, IEEE Journal on Selected Areas in Communications.

[25]  Roy D. Yates,et al.  Capacity of Interference Channels With Partial Transmitter Cooperation , 2007, IEEE Transactions on Information Theory.

[26]  Urbashi Mitra,et al.  A spectrum-shaping perspective on cognitive radio: Uncoded primary transmission case , 2008, 2008 IEEE International Symposium on Information Theory.

[27]  Syed Ali Jafar,et al.  Degrees of Freedom for the MIMO Interference Channel , 2006, IEEE Transactions on Information Theory.

[28]  Michael Gastpar,et al.  Cooperative strategies and capacity theorems for relay networks , 2005, IEEE Transactions on Information Theory.

[29]  C.-C. Jay Kuo,et al.  A Cognitive MAC Protocol Using Statistical Channel Allocation for Wireless Ad-Hoc Networks , 2007, 2007 IEEE Wireless Communications and Networking Conference.

[30]  Lizhong Zheng,et al.  Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels , 2003, IEEE Trans. Inf. Theory.

[31]  Max H. M. Costa,et al.  Writing on dirty paper , 1983, IEEE Trans. Inf. Theory.

[32]  Jeffrey H. Reed,et al.  Convergence of cognitive radio networks , 2004, 2004 IEEE Wireless Communications and Networking Conference (IEEE Cat. No.04TH8733).

[33]  G. Kramer,et al.  Review of Rate Regions for Interference Channels , 2006, 2006 International Zurich Seminar on Communications.

[34]  Shlomo Shamai,et al.  On the achievable throughput of a multiantenna Gaussian broadcast channel , 2003, IEEE Transactions on Information Theory.

[35]  Masoumeh Nasiri-Kenari,et al.  Achievable rates for two interfering broadcast channels with a cognitive transmitter , 2008, 2008 IEEE International Symposium on Information Theory.

[36]  Amir Ghasemi,et al.  Capacity of Fading Channels Under Spectrum-Sharing Constraints , 2006, 2006 IEEE International Conference on Communications.

[37]  Xiaohu Shang,et al.  An Achievable Rate Region for the Gaussian Interference Channel , 2006, ArXiv.

[38]  Panganamala Ramana Kumar,et al.  Towards an information theory of large networks: an achievable rate region , 2003, IEEE Trans. Inf. Theory.

[39]  Igal Sason,et al.  On achievable rate regions for the Gaussian interference channel , 2004, IEEE Transactions on Information Theory.

[40]  Hua Wang,et al.  Gaussian Interference Channel Capacity to Within One Bit , 2007, IEEE Transactions on Information Theory.

[41]  Joseph Mitola,et al.  Cognitive Radio An Integrated Agent Architecture for Software Defined Radio , 2000 .

[42]  Max H. M. Costa,et al.  The capacity region of the discrete memoryless interference channel with strong interference , 1987, IEEE Trans. Inf. Theory.

[43]  Patrick Mitran,et al.  Achievable rates in cognitive radio channels , 2006, IEEE Transactions on Information Theory.

[44]  Emre Telatar,et al.  Capacity of Multi-antenna Gaussian Channels , 1999, Eur. Trans. Telecommun..

[45]  Michael Gastpar,et al.  On Capacity Under Receive and Spatial Spectrum-Sharing Constraints , 2007, IEEE Transactions on Information Theory.

[46]  Abbas El Gamal,et al.  Capacity theorems for the relay channel , 1979, IEEE Trans. Inf. Theory.

[47]  A. Ghasemi,et al.  Collaborative spectrum sensing for opportunistic access in fading environments , 2005, First IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks, 2005. DySPAN 2005..

[48]  Thomas M. Cover,et al.  Broadcast channels , 1972, IEEE Trans. Inf. Theory.

[49]  Syed Ali Jafar Capacity With Causal and Noncausal Side Information: A Unified View , 2006, IEEE Transactions on Information Theory.

[50]  Panagiotis Papadimitratos,et al.  A bandwidth sharing approach to improve licensed spectrum utilization , 2005, First IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks, 2005. DySPAN 2005..

[51]  Geoffrey Ye Li,et al.  Agility improvement through cooperative diversity in cognitive radio , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[52]  Zhiqiang Wu,et al.  Interference Tolerant Agile Cognitive Radio: Maximize Channel Capacity of Cognitive Radio , 2007, 2007 4th IEEE Consumer Communications and Networking Conference.

[53]  Shlomo Shamai,et al.  The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel , 2006, IEEE Transactions on Information Theory.

[54]  Shlomo Shamai,et al.  Degrees of Freedom Region of the MIMO $X$ Channel , 2008, IEEE Transactions on Information Theory.

[55]  Hiroshi Sato On degraded Gaussian two-user channels (Corresp.) , 1978, IEEE Trans. Inf. Theory.

[56]  Dinesh Rajan,et al.  Random message arrivals in a gaussian cognitive radio , 2008, 2008 IEEE International Symposium on Information Theory.

[57]  Ananthram Swami,et al.  Decentralized cognitive MAC for opportunistic spectrum access in ad hoc networks: A POMDP framework , 2007, IEEE Journal on Selected Areas in Communications.

[58]  Amir K. Khandani,et al.  Capacity bounds for the Gaussian Interference Channel , 2008, 2008 IEEE International Symposium on Information Theory.

[59]  Jacob Wolfowitz,et al.  Multiple Access Channels , 1978 .

[60]  Syed Ali Jafar,et al.  Cognitive Radio Networks: How Much Spectrum Sharing is Optimal? , 2007, IEEE GLOBECOM 2007 - IEEE Global Telecommunications Conference.

[61]  Syed Ali Jafar,et al.  Capacity Limits of Cognitive Radio with Distributed and Dynamic Spectral Activity , 2005, 2006 IEEE International Conference on Communications.

[62]  Urbashi Mitra,et al.  Capacity of ad-hoc networks with node cooperation , 2004, International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings..

[63]  Brian M. Sadler,et al.  A Survey of Dynamic Spectrum Access , 2007, IEEE Signal Processing Magazine.

[64]  Patrick Mitran,et al.  Cognitive multiple access networks , 2005, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005..

[65]  Syed Ali Jafar,et al.  How much spectrum sharing is optimal in cognitive radio networks? , 2008, IEEE Transactions on Wireless Communications.

[66]  Wei Wu,et al.  On the Capacity of Interference Channels with Degraded Message sets , 2006, ArXiv.

[67]  R.A. Berry,et al.  Spectrum sharing with distributed interference compensation , 2005, First IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks, 2005. DySPAN 2005..

[68]  Jinhua Jiang,et al.  Ieee Transactions on Information Theory (accepted) on the Achievable Rate Regions for Interference Channels with Degraded Message Sets , 2022 .

[69]  R.W. Brodersen,et al.  Implementation issues in spectrum sensing for cognitive radios , 2004, Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, 2004..

[70]  Patrick Mitran,et al.  Limits on communications in a cognitive radio channel , 2006, IEEE Communications Magazine.

[71]  Dusit Niyato,et al.  A Game-Theoretic Approach to Competitive Spectrum Sharing in Cognitive Radio Networks , 2007, 2007 IEEE Wireless Communications and Networking Conference.

[72]  Umberto Spagnolini,et al.  Stable Throughput of Cognitive Radios With and Without Relaying Capability , 2007, IEEE Transactions on Communications.

[73]  D. Slepian,et al.  A coding theorem for multiple access channels with correlated sources , 1973 .

[74]  Panganamala Ramana Kumar,et al.  RHEINISCH-WESTFÄLISCHE TECHNISCHE HOCHSCHULE AACHEN , 2001 .

[75]  Sriram Vishwanath,et al.  Adaptive Sum Power Iterative Waterfilling for MIMO Cognitive Radio Channels , 2008, 2008 IEEE International Conference on Communications.

[76]  Junshan Zhang,et al.  A New Achievable Rate Region for Interference Channels with Common Information , 2007, 2007 IEEE Wireless Communications and Networking Conference.

[77]  Wei Wu,et al.  On the Capacity of Gaussian Weak Interference Channels with Degraded Message sets , 2006, 2006 40th Annual Conference on Information Sciences and Systems.

[78]  Aria Nosratinia,et al.  The multiplexing gain of wireless networks , 2005, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005..

[79]  Max H. M. Costa,et al.  On the Gaussian interference channel , 1985, IEEE Trans. Inf. Theory.

[80]  Wei Wu,et al.  Capacity of a Class of Cognitive Radio Channels: Interference Channels With Degraded Message Sets , 2007, IEEE Transactions on Information Theory.

[81]  Pramod Viswanath,et al.  Cognitive Radio: An Information-Theoretic Perspective , 2009, IEEE Transactions on Information Theory.

[82]  Shlomo Shamai,et al.  Cognitive interference channels with state information , 2008, 2008 IEEE International Symposium on Information Theory.

[83]  Syed Ali Jafar,et al.  Interference Alignment and Degrees of Freedom of the $K$-User Interference Channel , 2008, IEEE Transactions on Information Theory.

[84]  Shlomo Shamai,et al.  Relaying protocols for two colocated users , 2006, IEEE Transactions on Information Theory.

[85]  Wenbo Wang,et al.  Optimal Power Control Under Interference Temperature Constraints in Cognitive Radio Network , 2007, 2007 IEEE Wireless Communications and Networking Conference.

[86]  Syed Ali Jafar,et al.  Interference Alignment and Spatial Degrees of Freedom for the K User Interference Channel , 2007, 2008 IEEE International Conference on Communications.

[87]  Nihar Jindal,et al.  On the Capacity of the Cognitive Tracking Channel , 2006, 2006 IEEE International Symposium on Information Theory.

[88]  Anthony Ephremides,et al.  Information Theory and Communication Networks: An Unconsummated Union , 1998, IEEE Trans. Inf. Theory.

[89]  R. Chandramouli,et al.  QoS constrained secondary spectrum sharing , 2005, First IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks, 2005. DySPAN 2005..

[90]  N.B. Mandayam,et al.  Scheduling variable rate links via a spectrum server , 2005, First IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks, 2005. DySPAN 2005..

[91]  Natasha Devroye,et al.  The Multiplexing Gain of MIMO X-Channels with Partial Transmit Side-Information , 2007, 2007 IEEE International Symposium on Information Theory.

[92]  Ying-Chang Liang,et al.  Exploiting Multi-Antennas for Opportunistic Spectrum Sharing in Cognitive Radio Networks , 2007, IEEE Journal of Selected Topics in Signal Processing.

[93]  Gerhard Kramer,et al.  A New Outer Bound and the Noisy-Interference Sum–Rate Capacity for Gaussian Interference Channels , 2007, IEEE Transactions on Information Theory.

[94]  Shlomo Shamai,et al.  On the Capacity of Interference Channels with a Partially-Cognitive Transmitter , 2007, 2007 IEEE International Symposium on Information Theory.

[95]  O. Simeone,et al.  Stability analysis of a cognitive multiple access channel with primary QoS constraints , 2007, 2007 Conference Record of the Forty-First Asilomar Conference on Signals, Systems and Computers.

[96]  Onur Ozan Koyluoglu,et al.  On power control and frequency reuse in the two user cognitive channel , 2009, IEEE Transactions on Wireless Communications.

[97]  Shlomo Shamai,et al.  Relaying protocols for two co-located users , 2005, ISIT.

[98]  Shlomo Shamai,et al.  Cognitive Interference Channels with Confidential Messages , 2007, ArXiv.

[99]  Anant Sahai,et al.  Fundamental tradeoffs in robust spectrum sensing for opportunistic frequency reuse , 2006 .

[100]  Patrick P. Bergmans,et al.  Random coding theorem for broadcast channels with degraded components , 1973, IEEE Trans. Inf. Theory.

[101]  M. J. Gans,et al.  On Achievable Sum Rate for Vector Gaussian Interference Channels , 2006, 2006 IEEE International Symposium on Information Theory.

[102]  Andrea J. Goldsmith,et al.  Duality, achievable rates, and sum-rate capacity of Gaussian MIMO broadcast channels , 2003, IEEE Trans. Inf. Theory.

[103]  Venugopal V. Veeravalli,et al.  Gaussian Interference Networks: Sum Capacity in the Low-Interference Regime and New Outer Bounds on the Capacity Region , 2008, IEEE Transactions on Information Theory.

[104]  Sriram Vishwanath,et al.  On the Capacity of a Class of MIMO Cognitive Radios , 2007, IEEE Journal of Selected Topics in Signal Processing.

[105]  Vahid Tarokh,et al.  Scaling Laws of Cognitive Networks , 2007, 2007 2nd International Conference on Cognitive Radio Oriented Wireless Networks and Communications.

[106]  Shlomo Shamai,et al.  Capacity of Cognitive Interference Channels With and Without Secrecy , 2009, IEEE Transactions on Information Theory.

[107]  Q. Zhao,et al.  Decentralized cognitive mac for dynamic spectrum access , 2005, First IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks, 2005. DySPAN 2005..

[108]  Robert G. Gallager,et al.  Capacity and coding for degraded broadcast channels , 1974 .

[109]  Jason Gao,et al.  Channel Capacity Limits of Cognitive Radio in Asymmetric Fading Environments , 2008, 2008 IEEE International Conference on Communications.

[110]  Shlomo Shamai,et al.  On the capacity of interference channels with one cooperating transmitter , 2007, Eur. Trans. Telecommun..

[111]  Cristina Comaniciu,et al.  A Game Theoretic Approach to Interference Management in Cognitive Networks , 2007 .

[112]  Vahid Tarokh,et al.  Fundamental Limits of Cognitive Radio Networks , 2007 .

[113]  Koduvayur P. Subbalakshmi,et al.  Dynamic Spectrum Access with QoS and Interference Temperature Constraints , 2007, IEEE Trans. Mob. Comput..

[114]  Gerhard Kramer,et al.  Outer bounds on the capacity of Gaussian interference channels , 2004, IEEE Transactions on Information Theory.

[115]  Xiaodong Wang,et al.  An improved achievable rate region for causal cognitive radio , 2009, 2009 IEEE International Symposium on Information Theory.

[116]  Venugopal V. Veeravalli,et al.  Algorithms for Dynamic Spectrum Access With Learning for Cognitive Radio , 2008, IEEE Transactions on Signal Processing.

[117]  Rocco Di Taranto,et al.  Opportunistic Interference Cancellation in Cognitive Radio Systems , 2007, 2007 2nd IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks.

[118]  Allen B. MacKenzie,et al.  Using Game Theory to Analyze Physical Layer Cognitive Radio Algorithms , 2005 .

[119]  S. Shamai,et al.  On the Capacity of Interference Channels with a Cognitive Transmitter , 2007, 2007 Information Theory and Applications Workshop.