Tighter Uncertainty Principles Associated with the Non-isotropic Angular Stockwell Transform

IF 1.8 3区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

Circuits, Systems and Signal Processing Pub Date : 2024-07-26 DOI:10.1007/s00034-024-02788-x

Xinyu Wang, Shenzhou Zheng

引用次数: 0

Abstract

In this paper, we study several tighter uncertainty principles (UPs) for the non-isotropic angular Stockwell transform (NAST). By employing the polar coordinate representation of signal functions, we establish the tighter Heisenberg-Weyl UPs in spatial and directional settings, the tighter concentration Heisenberg-Weyl UP of position and scale concentration, as well as the tighter local-type Heisenberg-Weyl UP for the NAST. Quantitative and qualitative analysis indicates that our results give rise to a new understanding for the NAST with more precise lower bounds so as to offer more valuable insights for signal processing and image analysis.

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与各向异性角斯托克韦尔变换相关的更严格不确定性原理

本文研究了非各向同性角斯托克韦尔变换（NAST）的几种更严格的不确定性原理（UPs）。通过采用信号函数的极坐标表示法，我们建立了空间和方向设置的更严格的海森堡-韦尔不确定性原理、位置和尺度集中的更严格的集中海森堡-韦尔不确定性原理，以及非各向同性角斯托克韦尔变换的更严格的局部型海森堡-韦尔不确定性原理。定量和定性分析表明，我们的研究结果以更精确的下限为 NAST 带来了新的理解，从而为信号处理和图像分析提供了更有价值的见解。

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

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

CiteScore

4.80

自引率

13.00%

发文量

321

审稿时长

4.6 months

期刊介绍： Rapid developments in the analog and digital processing of signals for communication, control, and computer systems have made the theory of electrical circuits and signal processing a burgeoning area of research and design. The aim of Circuits, Systems, and Signal Processing (CSSP) is to help meet the needs of outlets for significant research papers and state-of-the-art review articles in the area. The scope of the journal is broad, ranging from mathematical foundations to practical engineering design. It encompasses, but is not limited to, such topics as linear and nonlinear networks, distributed circuits and systems, multi-dimensional signals and systems, analog filters and signal processing, digital filters and signal processing, statistical signal processing, multimedia, computer aided design, graph theory, neural systems, communication circuits and systems, and VLSI signal processing. The Editorial Board is international, and papers are welcome from throughout the world. The journal is devoted primarily to research papers, but survey, expository, and tutorial papers are also published. Circuits, Systems, and Signal Processing (CSSP) is published twelve times annually.