On Primary User Coverage Probabilities and Faulty Cognitive Radios

In a cognitive radio (CR) network, the CR devices opportunistically communicate in the frequency bands occupied by the primary users in order to improve the spectral efficiency in these bands. By sensing the primary users, e.g., the television transmitter-receiver pairs and the wireless microphone systems, each CR device determines whether or not to operate in the band. The CR devices, due to erroneous sensing, either fail to detect the primary user, causing excessive interference at the primary users, or have a false-alarm, causing it to remain silent in a white-space band leading to poor spectrum utility. The impact of these imperfections on the primary user operations in terms of the coverage probability is characterized where the primary users and the CR devices are distributed according to independent homogeneous Poisson point processes on the plane.

[1]  B. Ripley,et al.  Introduction to the Theory of Coverage Processes. , 1989 .

[2]  J. Seaman.  Introduction to the theory of coverage processes , 1990 .

[3]  Y. Wu,et al.  Protection of Wireless Microphones in IEEE 802.22 Cognitive Radio Network , 2009, 2009 IEEE International Conference on Communications Workshops.

[4]  Kang G. Shin,et al.  Cognitive radios for dynamic spectrum access: from concept to reality , 2010, IEEE Wireless Communications.

[5]  Gi-Hong Im,et al.  Joint Sensing Adaptation and Resource Allocation for Cognitive Radio with Imperfect Sensing , 2012, IEEE Transactions on Communications.

[6]  J. Shanthikumar,et al.  Multivariate Stochastic Orders , 2007 .

[7]  Timothy X. Brown,et al.  Downlink Performance Analysis for a Generalized Shotgun Cellular System , 2014, IEEE Trans. Wirel. Commun..

[8]  Shuguang Cui,et al.  Transmission Capacities for Overlaid Wireless Ad Hoc Networks with Outage Constraints , 2009, 2009 IEEE International Conference on Communications.

[9]  Cheng-Xiang Wang,et al.  Interference Modeling of Cognitive Radio Networks , 2008, VTC Spring 2008 - IEEE Vehicular Technology Conference.

[10]  Jeffrey H. Reed,et al.  Outage probability based comparison of underlay and overlay spectrum sharing techniques , 2005, First IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks, 2005. DySPAN 2005..

[11]  Daryl J. Daley,et al.  An Introduction to the Theory of Point Processes , 2013 .

[12]  Martin Haenggi,et al.  Interference and Outage in Poisson Cognitive Networks , 2012, IEEE Transactions on Wireless Communications.

[13]  Timothy X. Brown,et al.  Interference characteristics and success probability at the primary user in a cognitive radio network , 2012, 2012 10th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks (WiOpt).

[14]  Mounir Ghogho,et al.  Transmission capacity analysis of cognitive radio networks under co-existence constraints , 2010, 2010 IEEE 11th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[15]  Martin Haenggi,et al.  Mean Interference in Hard-Core Wireless Networks , 2011, IEEE Communications Letters.

[16]  R. Michael Buehrer,et al.  On the Impact of Dynamic Spectrum Sharing Techniques on Legacy Radio Systems , 2008, IEEE Transactions on Wireless Communications.

[17]  Zhongding Lei,et al.  A Reliable and Power Efficient Beacon Structure for Cognitive Radio Systems , 2008, IEEE Trans. Broadcast..

[18]  D. Stoyan,et al.  Stochastic Geometry and Its Applications , 1989 .

[19]  T.X. Brown,et al.  An analysis of unlicensed device operation in licensed broadcast service bands , 2005, First IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks, 2005. DySPAN 2005..

[20]  Kevin W. Sowerby,et al.  Outage Probability Estimation for Licensed Systems in the Presence of Cognitive Radio Interference , 2009, VTC Spring 2009 - IEEE 69th Vehicular Technology Conference.

[21]  Timothy X. Brown,et al.  Modeling of Interference from Cooperative Cognitive Radios for Low Power Primary Users , 2010, 2010 IEEE Global Telecommunications Conference GLOBECOM 2010.

[22]  Gi-Hong Im,et al.  Deployment and coverage of cognitive radio networks in TV white space , 2012, IEEE Communications Magazine.

[23]  S. Merrill Weiss,et al.  New Measurements and Predictions of UHF Television Receiver Local Oscillator Radiation Interference , 2003 .

[24]  Arak M. Mathai,et al.  Special Functions for Applied Scientists , 2008 .

[25]  Sheldon M. Ross,et al.  Stochastic Processes , 2018, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics.

[26]  Timothy X. Brown,et al.  On the interference due to cooperative cognitive radios in the presence of multiple low-power primary users , 2011, 2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[27]  Jeffrey G. Andrews,et al.  Spectrum-Sharing Transmission Capacity , 2011, IEEE Transactions on Wireless Communications.

[28]  R. Tibshirani,et al.  An introduction to the bootstrap , 1993 .

[29]  Jeffrey G. Andrews,et al.  Modeling and Analysis of K-Tier Downlink Heterogeneous Cellular Networks , 2011, IEEE Journal on Selected Areas in Communications.