Mono-component decomposition of signals based on blaschke basis

International Journal of Wavelets, Multiresolution and Information Processing

Volumn 5, Issue 6, 2007, Pages 941-956

  Li, Hong ^a   Li, Luoqing ^b   Tang, Yuan Y ^c  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b HUBEI UNIVERSITY   (China)

^c HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

Author keywords

Analytic signal; Blaschke basis; Hilbert transform; Mono component decomposition

Indexed keywords

APPROXIMATION THEORY; FOURIER TRANSFORMS; HILBERT SPACES;

ANALYTICAL SIGNAL; BLASCHKE BASIS; HILBERT TRANSFORM; MONO-COMPONENT DECOMPOSITION;

SIGNAL PROCESSING;

EID: 36048971763     PISSN: 02196913     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219691307002130     Document Type: Article

References (15)

1. p with orthonormal basis functions, Systems Control Lett. 39 (2000) 365-376.
2. E. Bedrosian, A product theorem for Hilbert transform, Proc. IEEE 51 (1963) 868-869.
3. J. Bokor and F. Schipp, Approximate identification in Laguerre and Kautz bases, Automatica 34 (1998) 463-468.
4. B. Boashash, Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals, Proc. IEEE 80 (1992) 417-430.
5. J. B. Garnett, Bounded Analytic Functions (Academic Press, 1987).
6. N. E. Huang, Z. Shen, S. R. Long, M. C. Wu, H. H. Shift, Q. Zheng, N.-C. Yen, C. C. Tung and H. H. Liu, The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis, Proc. R. Soc. London Ser. A 454 (1998) 903-995.
7. N. E. Huang, Z. Shen and S. R. Long, A new view of nonlinear water waves: The Hilbert spectrum, Ann. Rev. Fluid Mech. 31 (1999) 417-457.
8. N. E. Huang and S. S. P. Shen, Hilbert-Huang Transform and Its Applictions (World Scientific, New Jersey, London, Singapore, 2005).
9. B. Ninness and F. Gustafsson, A unifying construction of orthonormal bases for system identification, IEEE Trans. Automat. Control 42 (1997) 515-521.
10. T. Qian, Characterization of boundary values of functions in Hardy spaces with application in signal analysis, J. Integral Equations Appl. 17 (2005) 159-198.
11. T. Qian, Unit analytic signals and harmonic measures, J. Math. Anal. Appl. 314 (2006) 526-536.
12. T. Qian, Mono-components for decomposition of signals, Math. Meth. Appl. Sci. 29 (2006) 1187-1198.
13. T. Qian, Q. H. Chen and L. Q. Li, Analytic unit quadrature signals with nonlinear phase, Phys. D 203 (2005) 80-87.
14. Z. Wu and N. E. Huang, A study of the characteristics of white noise using the empirical mode decomposition method, Proc. R. Soc. London Ser. A 460 (2004) 1597-1611.
15. R. R. Zhang, S. Ma, E. Safak and S. Hartzell, Hilbert-Huang transform analysis of dynamic and earthquake motion recordings, J. Eng. Mech. 129 (2003) 861-875.