Total Variation Minimization Based Compressive Wideband Spectrum Sensing for Cognitive Radios

Wideband spectrum sensing is a critical component of a functioning cognitive radio system. Its major challenge is the too high sampling rate requirement. Compressive sensing (CS) promises to be able to deal with it. Nearly all the current CS based compressive wideband spectrum sensing methods exploit only the frequency sparsity to perform. Motivated by the achievement of a fast and robust detection of the wideband spectrum change, total variation mnimization is incorporated to exploit the temporal and frequency structure information to enhance the sparse level. As a sparser vector is obtained, the spectrum sensing period would be shorten and sensing accuracy would be enhanced. Both theoretical evaluation and numerical experiments can demonstrate the performance improvement.

[1]  Genshe Chen,et al.  Performance evaluation of distributed compressed wideband sensing for cognitive radio networks , 2008, 2008 11th International Conference on Information Fusion.

[2]  J. Romberg,et al.  Imaging via Compressive Sampling , 2008, IEEE Signal Processing Magazine.

[3]  Jos F. Sturm,et al.  A Matlab toolbox for optimization over symmetric cones , 1999 .

[4]  Terence Tao,et al.  The Dantzig selector: Statistical estimation when P is much larger than n , 2005, math/0506081.

[5]  Qun Wan,et al.  Robust Compressive Wideband Spectrum Sensing with Sampling Distortion , 2010, ArXiv.

[6]  Qun Wan,et al.  Compressive Wideband Spectrum Sensing for Fixed Frequency Spectrum Allocation , 2010, ArXiv.

[7]  R. Tibshirani,et al.  Least angle regression , 2004, math/0406456.

[8]  Stephen P. Boyd,et al.  An Interior-Point Method for Large-Scale $\ell_1$-Regularized Least Squares , 2007, IEEE Journal of Selected Topics in Signal Processing.

[9]  Emmanuel J. Candès,et al.  Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information , 2004, IEEE Transactions on Information Theory.

[10]  Babak Hassibi,et al.  On the reconstruction of block-sparse signals with an optimal number of measurements , 2009, IEEE Trans. Signal Process..

[11]  Jens P. Elsner,et al.  Compressed Spectrum Estimation for Cognitive Radios , 2009 .

[12]  Brian M. Sadler,et al.  Mixed-signal parallel compressed sensing and reception for cognitive radio , 2008, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing.

[13]  D. Donoho,et al.  Basis pursuit , 1994, Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers.

[14]  Georgios B. Giannakis,et al.  Compressed Sensing for Wideband Cognitive Radios , 2007, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

[15]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

[16]  R. Tibshirani Regression Shrinkage and Selection via the Lasso , 1996 .

[17]  Amir Ghasemi,et al.  Spectrum sensing in cognitive radio networks: requirements, challenges and design trade-offs , 2008, IEEE Communications Magazine.

[18]  Babak Hassibi,et al.  On the Reconstruction of Block-Sparse Signals With an Optimal Number of Measurements , 2008, IEEE Transactions on Signal Processing.

[19]  Michael A. Saunders,et al.  Atomic Decomposition by Basis Pursuit , 1998, SIAM J. Sci. Comput..

[20]  Richard G. Baraniuk,et al.  Theory and Implementation of an Analog-to-Information Converter using Random Demodulation , 2007, 2007 IEEE International Symposium on Circuits and Systems.

[21]  Yonina C. Eldar,et al.  Xampling--Part I: Practice , 2009, ArXiv.

[22]  S. Kirolos,et al.  Random Sampling for Analog-to-Information Conversion of Wideband Signals , 2006, 2006 IEEE Dallas/CAS Workshop on Design, Applications, Integration and Software.

[23]  E.J. Candes,et al.  An Introduction To Compressive Sampling , 2008, IEEE Signal Processing Magazine.

[24]  Simon Haykin,et al.  Cognitive radio: brain-empowered wireless communications , 2005, IEEE Journal on Selected Areas in Communications.

[25]  Zhi Tian,et al.  Compressed Wideband Sensing in Cooperative Cognitive Radio Networks , 2008, IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference.

[26]  Joel A. Tropp,et al.  Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit , 2007, IEEE Transactions on Information Theory.

[27]  Mihailo Stojnic,et al.  Strong thresholds for ℓ2/ℓ1-optimization in block-sparse compressed sensing , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[28]  Geert Leus,et al.  Distributed compressive wide-band spectrum sensing , 2009, 2009 Information Theory and Applications Workshop.