A new and generalized model for the multitaper detector with nonzero mean signals

The problem of spectrum sensing for cognitive radio networks has attracted much interest in the research community. The Multitaper detector has its unique importance and was highly recommended for spectrum sensing in cognitive radio systems. In this paper, we investigate the Multitaper detector for the generalized nonzero-mean case. We analyze the Hermitian form of the Multitaper estimate to obtain the detector performance for nonzero-mean primary signals. The difficulty in this case arises from finding an expression for the noncentrality parameters associated with the diagonalized form of the quadratic representation of the Multitaper estimate. We provide closed form expressions for the noncentrality parameters, which also turned to be a function of the eigenvalues of the quadratic form. The validity of the derived mathematical model is verified through Monte-Carlo simulations.

[1]  Simon Haykin,et al.  Spectrum Sensing for Cognitive Radio , 2009, Proceedings of the IEEE.

[2]  Keith Q. T. Zhang.  Theoretical Performance and Thresholds of the Multitaper Method for Spectrum Sensing , 2011, IEEE Transactions on Vehicular Technology.

[3]  Anant Sahai,et al.  What is a Spectrum Hole and What Does it Take to Recognize One? , 2009, Proceedings of the IEEE.

[4]  Emad Alsusa,et al.  Performance Analysis of the Periodogram-Based Energy Detector in Fading Channels , 2011, IEEE Transactions on Signal Processing.

[5]  D. Thomson,et al.  Spectrum estimation and harmonic analysis , 1982, Proceedings of the IEEE.

[6]  Petre Stoica,et al.  On nonparametric spectral estimation , 1998, 9th European Signal Processing Conference (EUSIPCO 1998).

[7]  Mosa Ali Abu-Rgheff,et al.  Performance evaluation of cognitive radio spectrum sensing using multitaper-singular value decomposition , 2009, 2009 4th International Conference on Cognitive Radio Oriented Wireless Networks and Communications.

[8]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[9]  Thomas P. Bronez,et al.  On the performance advantage of multitaper spectral analysis , 1992, IEEE Trans. Signal Process..

[10]  S. Haykin.  The Multitaper Method for Accurate Spectrum Sensing in Cognitive Radio Environments , 2007, 2007 Conference Record of the Forty-First Asilomar Conference on Signals, Systems and Computers.

[11]  Erik G. Larsson,et al.  Spectrum Sensing for Cognitive Radio : State-of-the-Art and Recent Advances , 2012, IEEE Signal Processing Magazine.

[12]  Emad Alsusa,et al.  New and accurate results on the performance of the Multitaper-based detector , 2012, 2012 IEEE International Conference on Communications (ICC).

[13]  Z. Ahmed Mohammed,et al.  Probabilities of detection and false alarm in multitaper based spectrum sensing for cognitive radio systems in AWGN , 2010, 2010 IEEE International Conference on Communication Systems.

[14]  Keith Q. T. Zhang.  Multitaper Based Spectrum Sensing for Cognitive Radio: Design and Performance , 2011, 2011 IEEE 73rd Vehicular Technology Conference (VTC Spring).

[15]  A. M. Mathai,et al.  Quadratic forms in random variables : theory and applications , 1992 .

[16]  Donald B. Percival,et al.  Spectrum estimation by wavelet thresholding of multitaper estimators , 1998, IEEE Trans. Signal Process..

[17]  Mohamed-Slim Alouini,et al.  Digital Communication over Fading Channels: Simon/Digital Communications 2e , 2004 .