Generalization of Hilbert transform for symbolic analysis of noisy signals

Signal Processing

Volumn 89, Issue 6, 2009, Pages 1245-1251

  Sarkar, Soumik ^a   Mukherjee, Kushal ^a   Ray, Asok ^a  

^a The Pennsylvania State University   (United States)

Author keywords

D Markov machines; Hilbert transform; Symbolic time series analysis

Indexed keywords

DYNAMICAL SYSTEMS; INFORMATION THEORY; PARTITIONS (BUILDING); PATTERN RECOGNITION; SIGNAL TO NOISE RATIO; TIME SERIES; WAVELET TRANSFORMS;

ANALYTIC SIGNALS; D-MARKOV MACHINES; DE-NOISING; FAST METHODS; HILBERT; HILBERT TRANSFORM; INFORMATION LOSS; LABORATORY APPARATUS; LOW SIGNAL-TO-NOISE RATIOS; MACHINE STATE; NOISE REDUCTIONS; NOISY SIGNALS; NONLINEAR ELECTRONIC SYSTEMS; ON TIME; PARTITIONING METHODS; SYMBOLIC ANALYSIS; SYMBOLIC TIME SERIES ANALYSIS; THEORETICAL RESULTS; TIME-SERIES DATUM; WAVELET SPACES;

TIME SERIES ANALYSIS;

EID: 60749103845     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2008.12.009     Document Type: Article

References (13)

1. Gabor D. Theory of communications. J. Inst. Electr. Eng. 93 (1946) 429-457
2. Cohen L. Time-Frequency Analysis (1995), Prentice-Hall PTR, Englewood Cliffs, NJ
3. Subbu A., and Ray A. Space partitioning via Hilbert transform for symbolic time series analysis. Appl. Phys. Lett. 92 (2008) 084107
4. Buhl M., and Kennel M. Statistically relaxing to generating partitions for observed time-series data. Phys. Rev. E 71 4 (2005) 046213
5. Rajagopalan V., and Ray A. Symbolic time series analysis via wavelet-based partitioning. Signal Process. 86 11 (2006) 3309-3320
6. Ray A. Symbolic dynamic analysis of complex systems for anomaly detection. Signal Process. 84 7 (2004) 1115-1130
7. C. Rao, A. Ray, S. Sarkar, M. Yasar, Review and comparative evaluation of symbolic dynamic filtering for detection of anomaly patterns, Signal Image Video Process., 2008, DOI 10.1007/s11760-008-0061-8.
8. Lohmann A., Mendlovic D., and Zalevsky Z. Fractional Hilbert transform. Opt. Lett. 21 4 (1996) 281-283
9. Pei S.-C., and Yeh M.-H. Discrete fractional Hilbert transform. IEEE Trans. Circuits Syst.-II: Analog Digital Signal Process. 47 11 (2000)
10. Y. Luo, S. Al-dossary, M. Mahroon, M. Alfaraj, Generalized hilbert transform and its applications in geophysics, The Leading Edge 22 (3) 198-202 (doi:10.1190/1.1564522).
11. Cover T., and Thomas J. Elements of Information Theory (1991), Wiley, New York, NY, USA
12. Ray A. Signed real measure of regular languages for discrete-event supervisory control. Int. J. Control 78 12 (2005) 949-967
13. Beck C., and Schlögl F. Thermodynamics of Chaotic Systems: An Introduction (1993), Cambridge University Press, United Kingdom