Pseudo Cohen Time-Frequency Distributions in Infinite Variance Noise Environment

Abstract:

stable distribution has been suggested as a more appropriate model in impulsive noise environment.The performance of conventional time-frequency distributions (TFDs) degenerate in stable distribution noise environment. Hence, three improved methods are proposed based on Fractional Low Order statistics, Fractional Low Order Wigner-Ville Distribution (FLO-WVD), Fractional Low Order Statistic pseudo Wigner-Ville Distribution (FLO-PWVD), Fractional Low Order Statistic Cohen class distribution (FLO-Cohen). In order for real-time, on-line operation and fairly long signals processing, a new smoothed pseudo Fractional Low Order Cohen class distribution (PFLO-Cohen) is proposed.Simulations show that the methods demonstrate the advantages in this paper, are robust.

• Periodical: Applied Mechanics and Materials (Volumes 475-476)
• Pages: 253-258
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.475-476.253
• Online since: December 2013
• Authors: Hai Bin Wang, Jun Bo Long*, Dai Feng Zha
• Keywords: Ambiguity Function, Fractional Low Order Statistics, Stable Distribution, Time-Frequency Distribution

References

[1] Xiong Xinnong , Wan Xianrong, Ke Hengyu. Ionospheric clutter suppression in high frequency surface wave radar based on time-frequency analysis ，Systems Engineering and Electronics, 2008, vol. 8, pp.1399-1402.

DOI: 10.1109/radar.2005.1435924

[2] Shi Lingsuo, Zhang Yaozhou. Application of Wigner-Ville-Distribution-Based Spectral Kurtosis Algorithm to Fault Diagnosis of Rolling Bearing , Journal of Vibration, Measurement and Diagnosis, 2011, vol. 2, pp.27-31.

[3] NA Khan, B Boashash, Instantaneous Frequency Estimation of Multicomponent Nonstationary Signals Using Multiview Time-Frequency Distributions Based on the Adaptive Fractional Spectrogram, IEEE Signal Processing Letters, 2013, Vol. 20, pp.157-160.

DOI: 10.1109/lsp.2012.2236088

[4] Cohen L, Lee C. Instantaneous frequency and time frequency distributions[J]. IEEE International symposium on circuits and systems 1989, vol. 2, pp.1231-1234.

DOI: 10.1109/iscas.1989.100577

[5] M Abed, A Belouchrani, M Cheriet, Time-Frequency Distributions Based on Compact Support Kernels: Properties and Performance Evaluation , IEEE Transactions on Signal Processing, 2012, Vol. 60, p.2814 – 2827.

DOI: 10.1109/tsp.2012.2190065

[6] JM Toole, B Boashash, Fast and memory-efficient algorithms for computing quadratic time–frequency distributions, Applied and Computational Harmonic Analysis, 2013, Vol. 35, p.350–358.

DOI: 10.1016/j.acha.2013.01.003

[7] Bodenschatz J. S, Nikias C. L, Symmetric alpha-stable filter theory, Signal Processing [J], IEEE Transactions on Signal Processing, 1997, Vol. 45 , p.2301 – 2306.

DOI: 10.1109/78.622952

[8] M. shao.C.L. Nikias. signal processing with fractional lower order moments instable processed and their applications. proceedings of the IEEE. 1993, vol. 81, pp.986-1010.

DOI: 10.1109/5.231338

[9] Long Junbo, Zha Daifeng, Jiang Yuling. Radar Echo Frequency Spectrum Estimate Based on ALPHA State Distribution Convariation, Computer application, 2009, vol. 29, pp.3224-3226.

DOI: 10.3724/sp.j.1087.2009.03224

[10] Chen Ding, Zhu Yajun, Jiang Jinlong. Wigner-Ville distribution analysis method of fractional lower-order alpha stable distribution, Application of research of computer, 2012, vol. 8, pp.2918-2920.

[11] YangBaohai, ZhuYajun, Zha Daifeng, STFT time-frequency analysis method of fractional lower-order alpha stable distribution, Application Research of Computer, 2012, Vol. 8, pp.2915-2917.