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Title:
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Polynomial Wigner-Ville Distributions |
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Author:
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Boashash, B; Putland, G.R.
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Abstract:
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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. |
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Description:
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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). |
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URI:
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http://hdl.handle.net/10576/10790
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Date:
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2003 |