THE IMPORTANCE OF PHASE IN SIGNALS
THE IMPORTANCE OF PHASE IN SIGNALS
复制标题
DOI：
10.1109/proc.1981.12022
复制
发表时间：
1981-01-01
影响因子：
20.6
通讯作者：
LIM, JS
中科院分区：
文献类型：
--
作者：
OPPENHEIM, AV;LIM, JS
在信号的傅里叶表示中，频谱幅度和相位往往扮演不同的角色，在某些情况下，如果只保留相位，信号的许多重要特征都会被保留。此外，在各种条件下，例如当信号是有限长度时，仅相位信息就足以将信号完全重构到比例因数内。在这篇文章中，我们回顾和讨论了这些观察和结果在一些不同的背景和应用。具体地说，对图像、语音和晶体结构的纯位相重建的可理解性进行了说明。提出了几种通过统计论证来证明阶段的相对重要性的方法，以及一些非正式的论证，指出了阶段重要性的原因。讨论了从一维序列和多维序列从相位信息精确重构序列的具体条件，给出了从相位信息近似和精确重构信号的算法。对本文的观测和结果提出了若干应用。
In the Fourier representation of signals, spectral magnitude and phase tend to play different roles and in some situations many of the important features of a signal are preserved if only the phase is retained. Furthermore, under a variety of conditions, such as when a signal is of finite length, phase information alone is sufficient to completely reconstruct a signal to within a scale factor. In this paper, we review and discuss these observations and results in a number of different contexts and applications. Specifically, the intelligibility of phase-only reconstruction for images, speech, and crystallographic structures are illustrated. Several approaches to justifying the relative importance of phase through statistical arguments are presented, along with a number of informal arguments suggesting reasons for the importance of phase. Specific conditions under which a sequence can be exactly reconstructed from phase are reviewed, both for one-dimensional and multi-dimensional sequences, and algorithms for both approximate and exact reconstruction of signals from phase information are presented. A number of applications of the observations and results in this paper are suggested.