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On the Hilbert-Huang Transform Theoretical FoundationThe Hilbert-Huang Transform [HHT] is a novel empirical method for spectrum analysis of non-linear and non-stationary signals. The HHT is a recent development and much remains to be done to establish the theoretical foundation of the HHT algorithms. This paper develops the theoretical foundation for the convergence of the HHT sifting algorithm and it proves that the finest spectrum scale will always be the first generated by the HHT Empirical Mode Decomposition (EMD) algorithm. The theoretical foundation for cutting an extrema data points set into two parts is also developed. This then allows parallel signal processing for the HHT computationally complex sifting algorithm and its optimization in hardware.
Document ID
20040081285
Acquisition Source
Goddard Space Flight Center
Document Type
Conference Paper
Authors
Kizhner, Semion
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Blank, Karin
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Huang, Norden E.
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Date Acquired
August 21, 2013
Publication Date
January 1, 2004
Subject Category
Theoretical Mathematics
Meeting Information
Meeting: 2nd International Conference on Computing, Communication and Control
Location: Austin, TX
Country: United States
Start Date: August 14, 2004
End Date: August 17, 2004
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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