NDLI: Higher Order Nested Wigner Distributions: Properties and Applications

Content Provider	IEEE Xplore Digital Library
Author	Qazi, S.A. Stergioulas, L.K.
Copyright Year	1991
Abstract	The concept of Wigner distribution (WD) is extended to higher-order nested Wigner distributions. The nested ambiguity function (NAF) is also derived naturally by employing the known interrelation between the WD and the ambiguity function (AF). These distributions are obtained by nesting a function within itself a number of times. The definitions of these new multidimensional distributions are given in analogy to the standard first-order 2-D distributions in both temporal/spatial and spectral forms and follow the definitions of quartic distributions presented in and . Some important properties are derived and discussed, including interrelationships between the various representations, marginals, correlations, and uncertainties, as well as their geometrical characteristics. The second-order nested Wigner distribution (NWD) is used to showcase the power of such distributions in potential application areas, such as signal estimation, signal separation, and radar signal analysis. For such signal processing tasks, it is demonstrated that the NWDs can be successful in situations where the standard 2-D distributions have proved to be inadequate
Sponsorship	IEEE Signal Processing Society
Starting Page	4662
Ending Page	4674
Page Count	13
File Size	1152015
File Format	PDF
ISSN	1053587X
Volume Number	54
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-12-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Time frequency analysis Multidimensional systems Signal analysis Uncertainty Multidimensional signal processing Radar signal processing Signal processing Estimation Source separation Radar applications Wigner distribution (WD) Ambiguity function (AF) double-dimensional distributions multidimensional distributions nested distributions (NDs) quartic time-frequency distributions radar signal processing time-frequency filtering
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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