Performance Analysis of Sequential Detection of Primary User Number Based on Multihypothesis Sequential Probability Ratio Test

In cognitive radio networks, a priori information on the number of primary users (PUs) is helpful to estimate more specific parameters, such as carrier frequency, direction of arrival, and location. We propose a sequential canonical correlation technique (S-CCT) method to estimate the number of active PUs quickly and accurately. The proposed method is based on the classical CCT and multi-hypothesis sequential probability ratio test. We also deduce the asymptotic expressions of average sample number and detection probability. Simulation results show that our proposed S-CCT method can achieve better performance with fewer samples than the CCT.

[1]  Venugopal V. Veeravalli,et al.  A sequential procedure for multihypothesis testing , 1994, IEEE Trans. Inf. Theory.

[2]  Danijela Cabric,et al.  Primary User Traffic Classification in Dynamic Spectrum Access Networks , 2014, IEEE Journal on Selected Areas in Communications.

[3]  Hao Chen,et al.  Spatial Spectrum Sensing-Based Device-to-Device Cellular Networks , 2016, IEEE Transactions on Wireless Communications.

[4]  Ahmed H. Tewfik,et al.  Non-cooperative state tracking of a cognitive radio network with multiple primary users via multiple hypothesis testing , 2012, 2012 IEEE 13th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[5]  Olav Tirkkonen,et al.  Spectrum Sensing in the Presence of Multiple Primary Users , 2012, IEEE Transactions on Communications.

[6]  Luca Venturino,et al.  A New Look at the Radar Detection Problem , 2016, IEEE Transactions on Signal Processing.

[7]  M. Woodroofe.  Nonlinear Renewal Theory in Sequential Analysis , 1987 .

[8]  James P. Reilly,et al.  Detection of the number of signals in noise with banded covariance matrices , 1996 .

[9]  M. Bartlett.  Further aspects of the theory of multiple regression , 1938, Mathematical Proceedings of the Cambridge Philosophical Society.

[10]  Danijela Cabric,et al.  Sequential detection of number of primary users in cognitive radio networks , 2015, 2015 49th Asilomar Conference on Signals, Systems and Computers.