Phase reconstruction from magnitude of band-limited multidimensional signals
type: Item
instance of: scholarly article
title: Phase reconstruction from magnitude of band-limited multidimensional signals
zbMATH Open document ID: 0588.42007
DOI: 10.1016/0022-247X(84)90051-9
author: Jorge L. C. Sanz
author: Thomas S. Huang
published in: Journal of Mathematical Analysis and Applications
publication date: 1984-01-01T00:00:00Z
review text: In this paper, the problem of phase reconstruction from magnitude of multidimensional band-limited functions is considered. It is shown that any irreducible band-limited function \(f(z_ 1,...,z_ n)\), \(z_ i\in {\mathbb{C}}\), \(i=1,...,n\), is uniquely determined from the magnitude of \(f(x_ 1,...,x_ n):\) \(| f(x_ 1,...,x_ n)|\), \(x_ i\in {\mathbb{R}}\), \(i=1,...,n\), except for (1) linear shifs: \(e^{i(\alpha_ 1z_ 1+...+\alpha_ nz_ n+\beta)}\), \(\alpha_ i\in {\mathbb{R}}\), \(i=1,...,n\); and (2) conjugation: \(f^*(z^*_ 1,...,z^*_ n)\).
Mathematics Subject Classification ID: 42A38
zbMATH DE Number: 3944489
zbMATH Keywords: distributional Fourier transform
zbMATH Keywords: phase reconstruction
zbMATH Keywords: multidimensional band-limited functions
MaRDI profile type: Publication
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full work available at URL: 0022-247x(84)90051-9
OpenAlex ID: W2085665669
description: scientific article; zbMATH DE number 3944489