Iterative phase retrieval using two Fourier transform intensities

Author

Kim, Wooshik ; Hayes, Monson H.

Author_Institution

Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

fYear

1990

fDate

3-6 Apr 1990

Firstpage

1563

Abstract

The problem of reconstructing either a one-dimensional or a two-dimensional signal from its Fourier intensity and the intensity of another signal that contains a known reference signal is addressed. After a brief summary of some conditions under which a one-dimensional or two-dimensional signal can be uniquely defined in terms of the given Fourier intensities, an iterative algorithm that makes it possible to reconstruct the original signal is presented. For the case of a point reference signal, a method is presented that can be used to determine the location and amplitude of the reference from the given Fourier intensity information. An example that illustrates the performance of the reconstruction algorithm is given

Keywords

Fourier transforms; iterative methods; signal processing; signal synthesis; 1D signal; 2D signal; Fourier transform intensities; iterative algorithm; iterative phase retrieval; one dimensional signal; reconstruction algorithm; reference signal; signal reconstruction; two-dimensional signal; Electron microscopy; Filters; Fourier transforms; Information retrieval; Iterative algorithms; Optical microscopy; Phase measurement; Reconstruction algorithms; Signal processing; X-ray diffraction;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on

Conference_Location

Albuquerque, NM

ISSN

1520-6149

Type

conf

DOI

10.1109/ICASSP.1990.115717

Filename

115717