NDLI: Ambiguity function and Wigner distribution on the sphere

Content Provider	IEEE Xplore Digital Library
Author	Khalid, Z. Durrani, S. Sadeghi, P. Kennedy, R.A.
Copyright Year	2012
Description	Author affiliation: Research School of Engineering, The Australian National University, Canberra, Australia (Khalid, Z.; Durrani, S.; Sadeghi, P.; Kennedy, R.A.)
Abstract	The ambiguity function and the Wigner distribution are fundamental tools in the time-frequency analysis. In this paper, we present an analog of the ambiguity function and the Wigner distribution for signals on the sphere. First, we formulate the ambiguity function for signals on the sphere which represents the signals in joint spatio-spectral domain and derive an inversion operation to obtain the signal from its ambiguity function. Next, we formulate the Wigner distribution for azimuthally symmetric signals on the sphere as a two dimensional spherical harmonics transform of the ambiguity function. We provide the matrix formulation of the Wigner distribution and discuss some of its useful properties. Finally, we illustrate the use of Wigner distribution for spatial and/or spectral localization of a signal in joint spatio-spectral domain. The obtained results provide the first step in designing more sophisticated transforms on the sphere.
Starting Page	3405
Ending Page	3408
File Size	410766
Page Count	4
File Format	PDF
ISBN	9781467300452
ISSN	15206149
e-ISBN	9781467300469
e-ISBN	9781467300445
DOI	10.1109/ICASSP.2012.6288647
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-03-25
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Harmonic analysis Spectral analysis Time frequency analysis Transforms Joints Symmetric matrices Frequency modulation ambiguity function unit sphere spherical harmonics Wigner distribution
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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