Semi-Definite Programming Based Waveform Design for Spectrum Sensing

Abstract:

In order to solve the problem of spectrum shortages, dynamic spectrum access based cognitive radio technology was proposed, and the technology of spectrum sensing is the foundation of cognitive radio. In this paper, a semi-definite programming based waveform design algorithm is proposed for spectrum sensing. Considering the energy concentration property of Chirp signal, the Chirp signal is adopted as the basic function, which makes the composite waveform perform like impulse function in fractional Fourier transform domain. Simulation results show that the NESP (Normalized Effective Signal Power) of the designed waveform using the proposed algorithm can be over 70%, and the designed waveform also retains good energy concentration property in fractional domain.

• Periodical: Applied Mechanics and Materials (Volumes 457-458)
• Pages: 1491-1497
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.457-458.1491
• Online since: October 2013
• Authors: Xuan Li Wu, Lu Kuan Sun, Wan Jun Zhao
• Keywords: Cognitive Radio (CR), Fractional Fourier Transform (FrFT), Semi-Definite Programming, Spectrum Sensing, Waveform Design

References

[1] S. Haykin, Cognitive radio: brain—empowered wireless communications, IEEE Journal on Selected Areas in Communications, vol. 23, pp.201-220, (2005).

DOI: 10.1109/jsac.2004.839380

[2] Y. E. Lin, K. H. Liu, and H. Y. Hsieh, On Using Interference-Aware Spectrum Sensing for Dynamic Spectrum Access in Cognitive Radio Networks, IEEE Transactions on  Mobile Computing, vol. 12, pp.461-474, (2013).

DOI: 10.1109/tmc.2012.16

[3] M. A. Kutay, H. M. Ozaktas, O. Ankan, and L. Onural, Optimal filtering in fractional Fourier domains, IEEE Transactions on Signal Processing, vol. 45, pp.1129-1143, (1997).

DOI: 10.1109/78.575688

[4] O. O. Odejide, C. M. Akujuobi, A. Annamalai, G. Fudge, Signal and Modulation Type Detection Using Wavelet Transform, WRI World Congress on Computer Science and Information Engineering, vol. 1, pp.457-460, (2009).

DOI: 10.1109/csie.2009.1003

[5] X. C. Song, J. Shi, and X. J. Sha, A Hybrid Overlay/Underlay Waveform for Cognitive Radio Associated With Fractional Fourier Transform, 7th International ICST Conference on Communications and Networking in China (CHINACOM), pp.103-108, (2012).

DOI: 10.1109/chinacom.2012.6417457

[6] X. Y. Ning, X. J. Sha, and L. Mei, Narrowband interference suppression method in Cognitive Ultra-wide Band Radio, " Canadian Conference on Electrical and Computer Engineering (CCECE , 09), pp.455-458, (2009).

DOI: 10.1109/ccece.2009.5090175

[7] H. B. Shen, W. H. Zhang, and K. S. kwak, Modified Chirp Waveforms in Cognitive UWB System, " IEEE International Conference on Communications Workshops (ICC Workshops , 08), pp.504-507, (2008).

DOI: 10.1109/iccw.2008.101

[8] X. L. Wu, L. K. Sun, W. Feng, and M. X. Luo, Semi-definite Programming based pulse shaping algorithm in IEEE 802. 15. 4a, Second International Conference on Instrumentation, Measurement, Computer, Communication and Control (IMCCC), pp.441-444, (2012).

DOI: 10.1109/imccc.2012.109

[9] X. R. Wu, Z. Tian, T. N. Davidson, and G. B. Giannakis, Optimal Waveform Design for UWB Radios, IEEE Transactions on Signal Processing, vol. 54, pp.2009-2021, (2006).

DOI: 10.1109/tsp.2006.872556