Sub-Nyquist Spectrum Sensing Based on Modulated Wideband Converter in Cognitive Radio Sensor Networks

The large-scale deployment of wireless sensor networks is indispensable to the success of Internet of Things. Considering dynamic spectrum access and the limited spectrum resources in cognitive radio sensor networks, sub-Nyquist spectrum sensing based on the modulated wideband converter is introduced. Since the transmission signals are usually modulated by different carrier frequencies, the interested spectrum can be modeled as the multiband signal. Modulated wideband converter (MWC) is an attractive alternative among several sub-Nyquist sampling systems because it has been implemented in practice and the frequency support reconstruction algorithm is the most important part in MWC. However, most existing reconstruction methods require the sparse information, which is difficult to acquire in practical scenarios. In this paper, we propose a blind multiband signal reconstruction method, referred to as the statistics multiple measurement vectors (MMV) iterative algorithm to bypasses the above problem. By exploiting the jointly sparse property of MMV model, the supports can be obtained by statistical analysis for the reconstruction results. Simulation results show that, without the sparse prior, the statistics MMV iterative algorithm can accurately determine the support of the multiband signal in a wide range of signal-to-noise ratio by using various numbers of sampling channels.

[1]  Yulong Gao,et al.  Sparse-Bayesian-Learning-Based Wideband Spectrum Sensing With Simplified Modulated Wideband Converter , 2018, IEEE Access.

[2]  Jean-Luc Starck,et al.  Sparse Solution of Underdetermined Systems of Linear Equations by Stagewise Orthogonal Matching Pursuit , 2012, IEEE Transactions on Information Theory.

[3]  Jeffrey D. Blanchard,et al.  Greedy Algorithms for Joint Sparse Recovery , 2014, IEEE Transactions on Signal Processing.

[4]  Deanna Needell,et al.  Signal Recovery From Incomplete and Inaccurate Measurements Via Regularized Orthogonal Matching Pursuit , 2007, IEEE Journal of Selected Topics in Signal Processing.

[5]  Shengyao Chen,et al.  Quadrature Compressive Sampling for Multiband Radar Echo Signals , 2017, IEEE Access.

[6]  Yoram Bresler,et al.  On the necessary density for spectrum-blind nonuniform sampling subject to quantization , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[7]  Bhaskar D. Rao,et al.  Support Recovery of Sparse Signals in the Presence of Multiple Measurement Vectors , 2011, IEEE Transactions on Information Theory.

[8]  Xiang-Gen Xia,et al.  Recovery of multiband signals using finite samples , 1994, Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94.

[9]  Zan Li,et al.  Blind Sub-Nyquist Spectrum Sensing With Modulated Wideband Converter , 2018, IEEE Transactions on Vehicular Technology.

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

[11]  Ramachandra G. Shenoy,et al.  Nonuniform sampling of signals and applications , 1994, Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94.

[12]  Lingyun Zhou,et al.  Recovery of multiband signals using group binary compressive sensing , 2015, 2015 IEEE International Symposium on Signal Processing and Information Technology (ISSPIT).

[13]  Cormac Herley,et al.  Exact reconstruction from periodic nonuniform samples , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

[14]  Yijiu Zhao,et al.  Sparse multiband signal spectrum sensing with asynchronous coprime sampling , 2019, Cluster Computing.

[15]  Robert D. Nowak,et al.  Majorization–Minimization Algorithms for Wavelet-Based Image Restoration , 2007, IEEE Transactions on Image Processing.

[16]  Jian Li,et al.  Broadband Cooperative Spectrum Sensing Based on Distributed Modulated Wideband Converter , 2016, Sensors.

[17]  H. Landau Necessary density conditions for sampling and interpolation of certain entire functions , 1967 .

[18]  Yoram Bresler,et al.  Sub-Nyquist sampling of multiband signals: perfect reconstruction and bounds on aliasing error , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[19]  Özgür B. Akan,et al.  Cognitive radio sensor networks , 2009, IEEE Network.

[20]  J. L. Brown Sampling expansions for multiband signals , 1985, IEEE Trans. Acoust. Speech Signal Process..

[21]  Liu Haifeng,et al.  Block MMV for the reconstruction of multiband signals , 2015, 2015 34th Chinese Control Conference (CCC).

[22]  Deanna Needell,et al.  CoSaMP: Iterative signal recovery from incomplete and inaccurate samples , 2008, ArXiv.

[23]  Amir Rosenthal,et al.  Multirate Synchronous Sampling of Sparse Multiband Signals , 2008, IEEE Transactions on Signal Processing.

[24]  Justin K. Romberg,et al.  Beyond Nyquist: Efficient Sampling of Sparse Bandlimited Signals , 2009, IEEE Transactions on Information Theory.

[25]  H. Landau Sampling, data transmission, and the Nyquist rate , 1967 .

[26]  Ping Feng,et al.  Spectrum-blind minimum-rate sampling and reconstruction of multiband signals , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

[27]  Yu Liu,et al.  An Improved Recovery Algorithm Based on ISD for Multiband Signals , 2017, 2017 IEEE Wireless Communications and Networking Conference (WCNC).

[28]  Arie Feuer,et al.  Adaptive Identification and Recovery of Jointly Sparse Vectors , 2014, IEEE Transactions on Signal Processing.

[29]  Amir Rosenthal,et al.  Multirate Synchronous Sampling of Sparse Multiband Signals , 2008, IEEE Transactions on Signal Processing.

[30]  Olgica Milenkovic,et al.  Subspace Pursuit for Compressive Sensing Signal Reconstruction , 2008, IEEE Transactions on Information Theory.

[31]  Yonina C. Eldar,et al.  From Theory to Practice: Sub-Nyquist Sampling of Sparse Wideband Analog Signals , 2009, IEEE Journal of Selected Topics in Signal Processing.

[32]  Hao Shen,et al.  Blind multiband spectrum signals reconstruction algorithms comparison , 2011, 2011 19th European Signal Processing Conference.

[33]  Cormac Herley,et al.  Minimum rate sampling of signals with arbitrary frequency support , 1996, Proceedings of 3rd IEEE International Conference on Image Processing.

[34]  Yonina C. Eldar,et al.  Blind Multiband Signal Reconstruction: Compressed Sensing for Analog Signals , 2007, IEEE Transactions on Signal Processing.

[35]  Yonina C. Eldar,et al.  Xampling: Analog to digital at sub-Nyquist rates , 2009, IET Circuits Devices Syst..

[36]  Yoram Bresler,et al.  Perfect reconstruction formulas and bounds on aliasing error in sub-nyquist nonuniform sampling of multiband signals , 2000, IEEE Trans. Inf. Theory.

[37]  Miao Zhang,et al.  An alternative recovery algorithm based on SL0 for multiband signals , 2013, 2013 IEEE International Instrumentation and Measurement Technology Conference (I2MTC).

[38]  P. Vaidyanathan,et al.  Periodically nonuniform sampling of bandpass signals , 1998 .