ON THE STABILITY AND SENSITIVITY OF MULTIDIMENSIONAL SIGNAL RECONSTRUCTION FROM FOURIER TRANSFORM MAGNITUDE.

Jorge L C Sanz, Thomas S Huang

Research output: Contribution to journalArticlepeer-review

Abstract

The authors consider the problem of retrieving a finite-extent signal from the magnitude of its Fourier transform. They consider the discrete phase retrieval problem as a special case of a more general problem that consists of recovering a real valued signal x2 from the magnitude of the output of a linear distortion: Hx (j), j equals 1,. . . ,n . An important result concerning the conditioning of this problem is obtained for this general setting by means of algebraic-geometric techniques. In particular, the problems of the existence of a solution for phase retrieval, conditioning of the problem, and stability of the (essentially) unique solution are addressed.

Original languageEnglish (US)
Pages (from-to)1065-1068
Number of pages4
JournalICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
StatePublished - 1985
Externally publishedYes

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Acoustics and Ultrasonics

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