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

IF 1.7 4区工程技术 Q2 COMPUTER SCIENCE, THEORY & METHODS

Multidimensional Systems and Signal Processing Pub Date : 2024-04-29 DOI:10.1007/s11045-024-00886-2

Lai Tien Minh

引用次数: 0

Abstract

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.

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二维不可分割线性典范变换框架下的新型二维维格纳分布和模糊函数

本文提出了与二维不可分割线性规范变换（2D-NS-LCT）相关的二维（2D）维格纳分布（2D-WD）和二维模糊函数（2D-AF）的新定义，即 2D-NLCWD 和 2D-NLCAF。这样就可以对所提出的分布的基本性质，如偏移性质、共轭对称性质、边际性质、莫雅公式以及与二维短时傅里叶变换（2D-STFT）的关系等，进行若干分析。此外，我们还指出了新定义的分布对检测二维线性频率调制（2D-LFM）信号的实用性和有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Multidimensional Systems and Signal Processing 工程技术-工程：电子与电气

CiteScore

5.60

自引率

8.00%

发文量

审稿时长

11.7 months

期刊介绍： Multidimensional Systems and Signal Processing publishes research and selective surveys papers ranging from the fundamentals to important new findings. The journal responds to and provides a solution to the widely scattered nature of publications in this area, offering unity of theme, reduced duplication of effort, and greatly enhanced communication among researchers and practitioners in the field. A partial list of topics addressed in the journal includes multidimensional control systems design and implementation; multidimensional stability and realization theory; prediction and filtering of multidimensional processes; Spatial-temporal signal processing; multidimensional filters and filter-banks; array signal processing; and applications of multidimensional systems and signal processing to areas such as healthcare and 3-D imaging techniques.