矢量场地震数据的超复杂处理：迈向矢量值信号处理[超复杂信号和图像处理］

IF 9.4 1区工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Signal Processing Magazine Pub Date : 2024-03-01 DOI:10.1109/MSP.2024.3349456

Breno Bahia;Arash JafarGandomi;Mauricio D. Sacchi

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引用次数: 0

摘要

矢量信号在科学和工程领域至关重要。不断发展的超复杂信号处理领域，尤其是四元代数，为处理矢量数据提供了一种简洁自然的方法。例如，在多分量地震学中，矢量值信号处理找到了一个自然的契合点，并在一些应用中得到了开发。本文对处理矢量值地震数据集的四元方法进行了简明实用的评述，从历史起源到四元信号处理领域的关键概念和工具，如四元傅里叶变换和四元奇异值分解（SVD）。在重点介绍现有成果的同时，本综述还通过四元数源分离应用展示了新的发展，讨论了遇到的挑战并概述了潜在的未来趋势。

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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Hypercomplex Processing of Vector Field Seismic Data: Toward vector-valued signal processing [Hypercomplex Signal and Image Processing]

Vector-valued signals are crucial in science and engineering. The evolving field of hypercomplex signal processing, particularly quaternion algebra, offers a concise and natural approach to handling vectorial data. In multicomponent seismology, for instance, vector-valued signal processing finds a natural fit that has been exploited in several applications. This article provides a concise and practical review of quaternionic methods for handling vector-valued seismic datasets, from historical origins to key concepts and tools in the field of quaternion signal processing, such as the quaternion Fourier transform and quaternion singular value decomposition (SVD). While highlighting existing results, this review also showcases novel developments through source separation applications with quaternions, discussing encountered challenges and outlining potential future trends.

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来源期刊

IEEE Signal Processing Magazine 工程技术-工程：电子与电气

CiteScore

27.20

自引率

0.70%

发文量

123

审稿时长

6-12 weeks

期刊介绍： EEE Signal Processing Magazine is a publication that focuses on signal processing research and applications. It publishes tutorial-style articles, columns, and forums that cover a wide range of topics related to signal processing. The magazine aims to provide the research, educational, and professional communities with the latest technical developments, issues, and events in the field. It serves as the main communication platform for the society, addressing important matters that concern all members.