Polynomial Wigner-Ville Distributions

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Polynomial Wigner-Ville Distributions

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Title: Polynomial Wigner-Ville Distributions
Author: Boashash, B; Putland, G.R.
Abstract: A PWVD of degree p is derived from a pth-order CFD approximation to the derivative of the instantaneous phase. It reduces to the ordinary WVD if p = 2. It is real and symmetrical about the IF law of an FM signal whose instantaneous phase is a polynomial of degree not exceeding p (i.e. whose IF is a polynomial of degree not exceeding p−1), even if that signal is also amplitude-modulated. This topic is developed further in Article 5.5 (next). More properties of PWVDs are given in [1]. Some implementation issues are discussed in [4] and [7]. The effect of noise is considered in Article 10.4.
Description: This Article presents an approach to design a PWVD, i.e. a TFD suitable for a t-f representation of linear FM signals where the FM is approximated by a polynomial of degree p. (Additional details can be found in the comprehensive book on Time-Frequency Signal Analysis and Processing (see http://www.elsevier.com/locate/isbn/0080443354). In addition, the most recent upgrade of the original software package that calculates Time-Frequency Distributions and Instantaneous Frequency estimators can be downloaded from the web site: www.time-frequency.net. This was the first software developed in the field, and it was first released publicly in 1987 at the 1st ISSPA conference held in Brisbane, Australia, and then continuously updated).
URI: http://hdl.handle.net/10576/10790
Date: 2003

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