Information Theoretic Analysis of Cognitive Radio Systems

Cognitive radios have recently emerged as a prime candidates for exploiting the increasingly flexible licensing of wireless spectrum. Regulatory bodies have come to realize that most of the time, large portions of certain licensed frequency bands remain empty [17]. To remedy this, legislators are easing the way frequency bands are licensed and used. In particular, new regulations would allow for devices which are able to sense and adapt to their spectral environment, such as cognitive radios, to become secondary users. 4 Such users are wireless devices that opportunistically employ the spectrum already licensed to primary users. Primary users generally associate with the primary spectral license holder, and thus have a higher priority right to the spectrum. The intuitive goal behind secondary spectrum licensing is to increase the spectral efficiency of the network, while, depending on the type of licensing, not affecting higher priority users. The exact regulations governing secondary spectrum licensing are still being formulated [18], but it is clear that networks consisting of heterogeneous devices, both in terms of physical capabilities and in the right to the spectrum, will emerge. Among the many questions that remain to be answered about cognitive networks, is that of the fundamental limits of possible communication. Although this may be defined in various ways, information theory is an ideal tool and approach from which to explore the underlying, implementationindependent limits of such heterogeneous networks. In this chapter, we will

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

[2]  I. Maric,et al.  The Capacity Region of the Strong Interference Channel with Common Information , 2005, Conference Record of the Thirty-Ninth Asilomar Conference onSignals, Systems and Computers, 2005..

[3]  Andrea J. Goldsmith,et al.  Dirty-paper coding versus TDMA for MIMO Broadcast channels , 2005, IEEE Transactions on Information Theory.

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

[5]  George Atia,et al.  On Optimal Outage in Relay Channels With General Fading Distributions , 2007, IEEE Transactions on Information Theory.

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

[7]  Andrea J. Goldsmith,et al.  Capacity gain from transmitter and receiver cooperation , 2005, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005..

[8]  Frans M. J. Willems,et al.  The discrete memoryless multiple-access channel with cribbing encoders , 1985, IEEE Trans. Inf. Theory.

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

[10]  Sanjeev R. Kulkarni,et al.  Capacity and Optimal Resource Allocation in the Degraded Gaussian Relay Channel with Multiple Relays , 2002 .

[11]  Aydano B. Carleial,et al.  Multiple-access channels with different generalized feedback signals , 1982, IEEE Trans. Inf. Theory.

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

[13]  Andrea J. Goldsmith,et al.  The "Z" channel , 2003, GLOBECOM '03. IEEE Global Telecommunications Conference (IEEE Cat. No.03CH37489).

[14]  Syed Ali Jafar,et al.  Capacity Limits of Cognitive Radio with Distributed and Dynamic Spectral Activity , 2006, ICC.

[15]  David Tse,et al.  Sum capacity of the vector Gaussian broadcast channel and uplink-downlink duality , 2003, IEEE Trans. Inf. Theory.

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

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

[18]  Shlomo Shamai,et al.  The capacity region of the Gaussian MIMO broadcast channel , 2004, International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings..

[19]  Jacob Wolfowitz Coding Theorems of Information Theory , 1962 .

[20]  D. A. Bell,et al.  Information Theory and Reliable Communication , 1969 .

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

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

[23]  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.

[24]  Syed Ali Jafar,et al.  I T ] 1 2 Se p 20 06 Degrees of Freedom on the MIMO X Channel-Optimality of Zero Forcing and the MMK Scheme , 2008 .

[25]  Edward C. van der Meulen,et al.  A survey of multi-way channels in information theory: 1961-1976 , 1977, IEEE Trans. Inf. Theory.

[26]  Katalin Marton,et al.  A coding theorem for the discrete memoryless broadcast channel , 1979, IEEE Trans. Inf. Theory.

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

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

[29]  Shlomo Shamai,et al.  Communicating to colocated ad-hoc receiving nodes in a fading environment , 2004, International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings..

[30]  Philip Schniter,et al.  On the achievable diversity-multiplexing tradeoff in half-duplex cooperative channels , 2005, IEEE Transactions on Information Theory.

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

[32]  R. Gallager Information Theory and Reliable Communication , 1968 .

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

[34]  R. Gallager,et al.  The Gaussian parallel relay network , 2000, 2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060).

[35]  A. Robert Calderbank,et al.  Space-Time Codes for High Data Rate Wireless Communications : Performance criterion and Code Construction , 1998, IEEE Trans. Inf. Theory.

[36]  M. J. Gans,et al.  On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas , 1998, Wirel. Pers. Commun..

[37]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[38]  David Tse,et al.  Outage-optimal relaying in the low SNR regime , 2005, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005..

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

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

[41]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[42]  M. Vetterli,et al.  On the asymptotic capacity of Gaussian relay networks , 2002, Proceedings IEEE International Symposium on Information Theory,.

[43]  Abbas El Gamal,et al.  On Reliable Communication over Additive White Gaussian Noise Relay Channels , 2004 .

[44]  Anders Høst-Madsen,et al.  Capacity bounds for Cooperative diversity , 2006, IEEE Transactions on Information Theory.

[45]  Michael Gastpar,et al.  The multiple-relay channel: coding and antenna-clustering capacity , 2002, Proceedings IEEE International Symposium on Information Theory,.

[46]  János Körner,et al.  General broadcast channels with degraded message sets , 1977, IEEE Trans. Inf. Theory.

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

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

[49]  Elza Erkip,et al.  User cooperation diversity. Part II. Implementation aspects and performance analysis , 2003, IEEE Trans. Commun..

[50]  Panganamala Ramana Kumar,et al.  An achievable rate for the multiple-level relay channel , 2005, IEEE Transactions on Information Theory.

[51]  Ashutosh Sabharwal,et al.  On capacity of Gaussian 'cheap' relay channel , 2003, GLOBECOM '03. IEEE Global Telecommunications Conference (IEEE Cat. No.03CH37489).

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

[53]  A. Nosratinia,et al.  Coded cooperation under slow fading, fast fading, and power control , 2002, Conference Record of the Thirty-Sixth Asilomar Conference on Signals, Systems and Computers, 2002..

[54]  J. Wolfowitz Coding Theorems of Information Theory , 1962, Ergebnisse der Mathematik und Ihrer Grenzgebiete.

[55]  Kevin Curran,et al.  Cognitive Radio , 2008, Comput. Inf. Sci..

[56]  Friedrich Jondral,et al.  Spectrum pooling: an innovative strategy for the enhancement of spectrum efficiency , 2004, IEEE Communications Magazine.

[57]  I. Marić The Strong Interference Channel with Unidirectional Cooperation , 2006 .

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

[59]  Joseph Mitola,et al.  The software radio architecture , 1995, IEEE Commun. Mag..

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

[61]  Gregory W. Wornell,et al.  Distributed space-time-coded protocols for exploiting cooperative diversity in wireless networks , 2003, IEEE Trans. Inf. Theory.

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

[63]  Patrick Mitran,et al.  Space-time diversity enhancements using collaborative communications , 2005, IEEE Transactions on Information Theory.

[64]  Abdel R. El Gamal,et al.  On information flow in relay networks , 1981 .

[65]  J. Mitola,et al.  Cognitive radio for flexible mobile multimedia communications , 1999, 1999 IEEE International Workshop on Mobile Multimedia Communications (MoMuC'99) (Cat. No.99EX384).

[66]  Roy D. Yates,et al.  The discrete memoryless compound multiple access channel with conferencing encoders , 2005, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005..

[67]  Panganamala Ramana Kumar,et al.  A network information theory for wireless communication: scaling laws and optimal operation , 2004, IEEE Transactions on Information Theory.

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

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

[70]  Ashutosh Sabharwal,et al.  On the Capacity of 'Cheap' Relay Networks , 2003 .

[71]  Jon M. Peha,et al.  Approaches to spectrum sharing , 2005, IEEE Communications Magazine.

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

[73]  Elza Erkip,et al.  Cooperative space-time coding for wireless networks , 2005, IEEE Transactions on Communications.

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

[75]  Gregory W. Wornell,et al.  Cooperative diversity in wireless networks: Efficient protocols and outage behavior , 2004, IEEE Transactions on Information Theory.

[76]  Michael Gastpar,et al.  On the capacity of wireless networks: the relay case , 2002, Proceedings.Twenty-First Annual Joint Conference of the IEEE Computer and Communications Societies.

[77]  John N. Tsitsiklis,et al.  Introduction to linear optimization , 1997, Athena scientific optimization and computation series.

[78]  Wei Yu,et al.  Sum capacity of Gaussian vector broadcast channels , 2004, IEEE Transactions on Information Theory.

[79]  Masoud Salehi,et al.  Multiple access channels with arbitrarily correlated sources , 1980, IEEE Trans. Inf. Theory.

[80]  Thomas M. Cover,et al.  Comments on Broadcast Channels , 1998, IEEE Trans. Inf. Theory.

[81]  Elza Erkip,et al.  User cooperation diversity. Part I. System description , 2003, IEEE Trans. Commun..

[82]  William D. Horne,et al.  Adaptive Spectrum Access: Using the Full Spectrum Space , 2003 .