Polynomial Wigner-Ville Distributions and Their Relationship to Time-Varying Higher-Order Spectra

Boashash, B and Oshea, P (1994) Polynomial Wigner-Ville Distributions and Their Relationship to Time-Varying Higher-Order Spectra. Ieee Transactions On Signal Processing, 42 1: 216-220. doi:10.1109/78.258143


Author Boashash, B
Oshea, P
Title Polynomial Wigner-Ville Distributions and Their Relationship to Time-Varying Higher-Order Spectra
Journal name Ieee Transactions On Signal Processing   Check publisher's open access policy
ISSN 1053-587X
Publication date 1994-01-01
Year available 1994
Sub-type Letter to editor, brief commentary or brief communication
DOI 10.1109/78.258143
Open Access Status Not yet assessed
Volume 42
Issue 1
Start page 216
End page 220
Total pages 5
Place of publication PISCATAWAY
Publisher IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Language eng
Abstract The Wigner-Ville distribution (WVD) has optimal energy concentration for linear frequency modulated (FM) signals. This paper presents a generalization of the WVD in order to effectively process nonlinear polynomial FM signals. A class of polynomial WVD's (PWVD's) that give optimal concentration in the time-frequency plane for FM signals with a modulation law of arbitrary polynomial form are defined. A class of polynomial time-frequency distributions (PTFD's) are also defined, based on the class of PWVD's. The optimal energy concentration of the PWVD enables it to be used for estimation of the instantaneous frequency (IF) of polynomial FM signals. Finally, a link between PWVD's and time-varying higher order spectra (TVHOS) is established. Just as the expected value of the WVD of a nonstationary random signal is the time-varying power spectrum, the expected values of the PWVD's have interpretations as reduced TVHOS.
Keyword Engineering, Electrical & Electronic
Engineering
ENGINEERING, ELECTRICAL & ELECTRONIC
Q-Index Code CX
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Letter to editor, brief commentary or brief communication
Collection: ResearcherID Downloads - Archived
 
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