Characterizing the Fourier Transform by Phase and Amplitude Preserving Maps

被引：0

作者：

Kuwata S. ^{[1
]}

机构：

[1] Graduate School of Information Sciences, Hiroshima City University, Asaminami-ku, Hiroshima

来源：

International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / Suppl 1期

关键词：

Amplitude; Fourier transform; Orthogonal polynomial; Phase; Unitary transform;

D O I：

10.1007/s40819-017-0407-4

中图分类号：

学科分类号：

摘要：

It is shown that under the Fourier transform F: L 2 (R) → L 2 (R) of an even or odd function φ: R→ C, the invariance of | φ| leads to the invariance or minus invariance of arg φ, and that the inverse holds in an analogous way. Such a relation between the phase and amplitude does not necessarily hold for other integral transforms. This implies that the Fourier transform can be characterized by the phase and amplitude preserving maps. © 2017, Springer (India) Private Ltd.

引用

页码：1149 / 1162

页数：13

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