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Bien, Zeungnam
Intelligent Robot Control System Lab
Research Interests
  • Intelligent Control

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A Variable Bandwidth Filter for Estimation of Instantaneous Frequency and Reconstruction of Signals With Time-Varying Spectral Content

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Title
A Variable Bandwidth Filter for Estimation of Instantaneous Frequency and Reconstruction of Signals With Time-Varying Spectral Content
Author
Lee, HeyoungBien, Zeungnam
Keywords
heterogeneous time-frequency (TF) distribution; Multicomponent signals; spectral localization; time-varying spectral content; variable bandwidth filter (VBF)
Issue Date
201105
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation
IEEE TRANSACTIONS ON SIGNAL PROCESSING, v.59, no.5, pp.2052 - 2071
Abstract
The notion of "instantaneous frequency" is utilized in processing signals with time-varying spectral content. Specifically, a variable bandwidth filter (VBF) and some related spectral analysis tools are proposed to handle a multicomponent signal whose components interact with each other in the time-frequency (TF) domain. In the analysis, a multicomponent signal is decomposed into its components by estimating local instantaneous frequencies (IFs). In order to construct the proposed filter, we define a differential operator composed of the derivative operator and a positive time-varying coefficient. An extended Fourier transform (EFT) and its functional relations are derived to exploit the newly defined differential operator and the VBF in some weighted vector spaces. Further, a heterogeneous TF distribution is constructed by a short-time EFT to utilize as a criterion for identifying whether an estimated IF is intrinsic or not and repairing a suspect estimate of IF. To confirm usefulness of the EFT and the VBF, we conduct several numerical simulations for spectral localization of an AM-FM signal and for estimation of local IFs, and then, for decomposition of a multicomponent signal into its components with their resolving powers to be compared.
URI
http://scholarworks.unist.ac.kr/handle/201301/2917
DOI
http://dx.doi.org/10.1109/TSP.2011.2113345
ISSN
1053-587X
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