Transmission delay in large scale ad hoc cognitive radio networks

There has been recent interest within the networking research area to understand the transmission delay in Cognitive Radio (CR) Networks with overlapping primary network and secondary network. In this paper, we investigate the scaling behavior of transmission delay in large scale ad hoc CR networks. We take different scenarios of CR networks into consideration and thus obtain a wind range of results. We first neglect propagation delay and study the ratio of transmission delay to distance, denoted by γ (λsAp and figure out its exact value in supercritical secondary network. In case of subcritical secondary network, we introduce a multi-cluster hop transmission process to get the lower bound of γ (λsAp. Then we take propagation delay into consideration to obtain further results. Finally, we use simulation results to verify our theoretical analysis. The results present the scaling behavior of transmission delay in CR networks and provide the design guidelines for large scale wireless networks.

[1]  Isaac Balberg Continuum Percolation , 2009, Encyclopedia of Complexity and Systems Science.

[2]  Edmund M. Yeh,et al.  On the latency for information dissemination in mobile wireless networks , 2008, MobiHoc '08.

[3]  Christian Bettstetter,et al.  On the minimum node degree and connectivity of a wireless multihop network , 2002, MobiHoc '02.

[4]  T. Liggett An Improved Subadditive Ergodic Theorem , 1985 .

[5]  Xinbing Wang,et al.  Fundamental relationship between NodeDensity and delay in wireless ad hoc networks with unreliable links , 2011, MobiCom '11.

[6]  William M. McEneaney,et al.  Stochastic Analysis, Control, Optimization and Applications: A Volume in Honor of W.H. Fleming , 2012 .

[7]  Yu-Chee Tseng,et al.  The Coverage Problem in a Wireless Sensor Network , 2003, WSNA '03.

[8]  Ananthram Swami,et al.  Connectivity of Heterogeneous Wireless Networks , 2009, IEEE Transactions on Information Theory.

[9]  R. Srikant,et al.  Scheduling for small delay in multi-rate multi-channel wireless networks , 2011, 2011 Proceedings IEEE INFOCOM.

[10]  Ian F. Akyildiz,et al.  Dynamic Connectivity of Cognitive Radio Ad-Hoc Networks with Time-Varying Spectral Activity , 2010, 2010 IEEE Global Telecommunications Conference GLOBECOM 2010.

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

[12]  Lei Ding,et al.  Cross-Layer Routing and Dynamic Spectrum Allocation in Cognitive Radio Ad Hoc Networks , 2010, IEEE Transactions on Vehicular Technology.

[13]  M. R. Leadbetter Poisson Processes , 2011, International Encyclopedia of Statistical Science.

[14]  Piyush Gupta,et al.  Critical Power for Asymptotic Connectivity in Wireless Networks , 1999 .