Abstract
The problem of wideband spectrum sensing for detecting vacant frequency subbands for opportunistic cognitive radio is investigated. This is achieved through the identification of irregularities (discontinuities) in the estimated power spectrum density. In this paper, we propose a new mathematical framework based on phase-field segmentation method, usually used in the image processing community. We show that by properly setting the parameters of the phase-field function, robustness to fluctuations of the edge threshold value (due to estimation errors for instance) used for spectrum sensing can be achieved. Our numerical results indicate that the sensing accuracy is improved, while the computational complexity is reduced, when compared to conventional methods.
Similar content being viewed by others
References
Haykin S. (2005) Cognitive radio: Brain-empowered wireless communications. IEEE Journal on Selected Areas in Communications 23(2): 201–220
Zhang W., Letaief K. B. (2008) Cooperative spectrum sensing with transmit and relay diversity in cognitive radio networks. IEEE Transactions on Wireless Communications 7: 4761–4766
Letaief K. B., Zhang W. (2009) Cooperative communications for cognitive radio networks. IEEE Proceedings Munich (Germany) 97(5): 878–893
Ghasemi, A., & Sousa, E. S. (2005). Collaborative spectrum sensing for opportunistic access in fading environments. In Proceedings of the IEEE international symposium on new frontiers in dynamic spectrum access networks (DySPAN), Baltimore.
Cui Z., Sayed A. (2008) Optimal linear cooperation for spectrum sensing in cognitive radio networks. IEEE Journal of Selected Topics in Signal Processing 2: 28–40
Zhao, T., & Zhao, Y. (2009). A new cooperative detection technique with malicious user suppression. In IEEE Proceedings of the international conference on communications (ICC).
Sahai, A., & Cabric, D. (2005). A tutorial on spectrum sensing: Fundamental limits and practical challenges. In Proceedings of the IEEE symposium on new frontiers dynamic spectrum access networks (DySPAN), Baltimore, MD, November, 2005.
Sadough, S. M. S., & Jaffrot, E. (2005). A wavelet packet based model for an ultra-wideband propagation channel. In Proceedings of the European conference on propagation and systems (ECPS).
Sadough S.M.S., Ichir M.M., Duhamel P., Jaffrot E. (2009) Wavelet-based semiblind channel estimation for ultrawideband OFDM systems. IEEE Transactions on Vehicular Technology 15(3): 1302–1314
Sadough S.M.S., Ichir M.M., Duhamel P., Jaffrot E. (2008) Ultrawideband OFDM channel estimation through a wavelet based EM-MAP algorithm. European Transactions on Telecommunications 19(7): 761–771
Tian, Z., & Giannakis, G. B. (2006). A wavelet approach to wideband spectrum sensing for cognitive radios. In Proceedings of international conference on cognitive radio oriented wireless networks and communications.
Hur Y., Park J., Woo, W., Lim, K., Lee, K., & Laskar, J. (2006). A wideband analog multi-resolution spectrum sensing (MRSS) technique for cognitive radio (CR) systems. In Proceedings of the IEEE international symposium on circuits systems (ISCAS), Island of Kos, Greece (pp. 4090–4093).
Tianhang G., Kun S., Yingzhe L., Pengpeng L., Ping W. (2010) A multi-resolution spectrum sensing (MRSS) scheme under measurement-based channel models in cognitive radio. Journal of Electronics (China) 27(5): 639–646
Liu, D., Li, C., Liu, J., & Long, K. (2010). A novel signal separation algorithm for wideband spectrum sensing in cognitive networks. In Proceedings of the IEEE global telecommunications conference (GLOBECOM).
Quan Z., Cui S., Sayed A. H., Poor H. V. (2009) Optimal multiband joint detection for spectrum sensing in cognitive radio networks. IEEE Transactions on Signal Processing 57(3): 1128–1140
Tian, Z., & Giannakis, G. B. (2007). Compressed sensing for wideband cognitive radios. In IEEE international conference on acoustics, speech and signal processing (ICASSP).
Polo, Y. L., Wang Y., Pandharipande, A., & Leus, G. (2009). Compressive wideband spectrum sensing. In Proceedings of the IEEE international conference on acoustics, speech and signal processing (ICASSP) (pp. 2337–2340).
Chen, X., Zhao, L., & Li, J. (2009). A modified spectrum sensing method for wideband cognitive radio based on compressive sensing. In Proceedings of the fourth international conference on communications and networking in China.
Mishali M., Elder C.Y. (2011) Wideband spectrum sensing at sub-nyquist rates. IEEE Signal Processing Magazine 28(4): 102–108
Zhang Z., Han Z., Li H., Yang D., Pei C. (2011) Belief propagation based cooperative compressed spectrum sensing in wideband cognitive radio networks. IEEE Transactions on Wireless Communications 10(9): 3020–3031
Mumford D., Shah J. (1989) Optimal approximation by piecewise smooth functions and associated variational problems. Communications on Pure and Applied Mathematics 42: 577–685
Ambrosio L., Tortelli V. M. (1990) Approximation of functionals depending on jumps by elliptic functionals via gammad-convergence. Communications on Pure and Applied Mathematics 43: 999–1036
Ambrosio L., Tortelli V. M. (1992) On the approximation of free discontinuity problems. Boll. Un. Mat. Ital. B 6(7): 105–123
Courant R., Hilbert D. (1989) Methods of mathematical physics. Wiley, NJ
Solin P. (2005) Partial differential equations and the finite element method. Wiley, London
Bourdin B., Chambolle A. (2000) Implementation of an adaptive finite-element approximation of the Mumford–Shah functional. Numerische Mathematic 85(4): 609–646
Bourdin B. (1999) Image segmentation with a finite element method. Mathematical Modelling and Numerical Analysis 33: 229–244
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Eslami, M., Sadough, S.MS. A Novel Technique for Wideband Spectrum Sensing in Cognitive Radio Through Phase-Field Segmentation. Wireless Pers Commun 68, 115–130 (2013). https://doi.org/10.1007/s11277-011-0442-0
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11277-011-0442-0