An Invitation to Hypercomplex Phase Retrieval: Theory and applications [Hypercomplex Signal and Image Processing]

IF 9.4 1区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC
Roman Jacome;Kumar Vijay Mishra;Brian M. Sadler;Henry Arguello
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引用次数: 0

Abstract

Hypercomplex signal processing (HSP) provides state-of-the-art tools to handle multidimensional signals by harnessing the intrinsic correlation of the signal dimensions through Clifford algebra. Recently, the hypercomplex representation of the phase retrieval (PR) problem, wherein a complex-valued signal is estimated through its intensity-only projections, has attracted significant interest. The hypercomplex PR (HPR) arises in many optical imaging and computational sensing applications that usually comprise quaternion- and octonion-valued signals. Analogous to the traditional PR, measurements in HPR may involve complex, hypercomplex, Fourier, and other sensing matrices. This set of problems opens opportunities for developing novel HSP tools and algorithms. This article provides a synopsis of the emerging areas and applications of HPR with a focus on optical imaging.
超复杂相位检索邀请函:理论与应用 [超复杂信号与图像处理]
超复数信号处理(HSP)通过克利福德代数利用信号维度的内在相关性,为处理多维信号提供了最先进的工具。最近,相位检索(PR)问题的超复数表示引起了人们的极大兴趣,在相位检索问题中,复值信号通过其纯强度投影进行估计。超复数相位检索(HPR)出现在许多光学成像和计算传感应用中,这些应用通常包括四元数和八元数信号。与传统的 PR 类似,HPR 中的测量可能涉及复数、超复数、傅里叶和其他传感矩阵。这一系列问题为开发新型 HSP 工具和算法提供了机会。本文简要介绍了 HPR 的新兴领域和应用,重点是光学成像。
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
IEEE Signal Processing Magazine
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.
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