Novel two-dimensional Wigner distribution and ambiguity function in the framework of the two-dimensional nonseparable linear canonical transform

This paper is to propose a new definition of two-dimensional (2D) Wigner distribution (2D-WD) and two-dimensional ambiguity function (2D-AF) associated with two-dimensional nonseparable linear canonical transform (2D-NS-LCT), namely 2D-NLCWD and 2D-NLCAF. This allows for several consequences of the...

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Published inMultidimensional systems and signal processing Vol. 35; no. 1; pp. 11 - 35
Main Author Minh, Lai Tien
Format Journal Article
LanguageEnglish
Published New York Springer US 01.06.2024
Springer Nature B.V
Subjects
Ambiguity
Artificial Intelligence
Circuits and Systems
Conjugation
Electrical Engineering
Engineering
Fourier transforms
Signal,Image and Speech Processing
Wigner distribution
Nonseparable linear canonical transform
65R10
44A35
42B10
Ambiguity function
81S30
42A38
Single-and multi-component LFM signal
Wigner distribution
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Summary:This paper is to propose a new definition of two-dimensional (2D) Wigner distribution (2D-WD) and two-dimensional ambiguity function (2D-AF) associated with two-dimensional nonseparable linear canonical transform (2D-NS-LCT), namely 2D-NLCWD and 2D-NLCAF. This allows for several consequences of the basic properties of the proposed distributions such as the shift properties, the conjugation symmetry property, the marginal properties, the Moyal formula, and the relationships with the two-dimensional short-time Fourier transform (2D-STFT). Furthermore, we point out the usefulness and efficacy of newly defined distributions for detecting two-dimensional linear frequency-modulated (2D-LFM) signals.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0923-6082
1573-0824
DOI:10.1007/s11045-024-00886-2