A Note on Iterative Fourier Transform Phase Reconstruction from Magnitude

Jorge L.C. Sanz; Thomas S. Huang; Tsui Fong Wu

doi:10.1109/TASSP.1984.1164446

A Note on Iterative Fourier Transform Phase Reconstruction from Magnitude

Jorge L.C. Sanz, Thomas S. Huang, Tsui Fong Wu

Research output: Contribution to journal › Article › peer-review

Abstract

In this correspondence, a well-known iterative procedure for Fourier transform phase reconstruction from magnitude (usually referred to as the Gerchberg-Saxton-Fienup procedure) is revisited. The convergence of this algorithm has raised some controversy in the recent literature. In this correspondence we first point out a potential source of error in the numerical implementation of the algorithm. Then, we present a conjecture which would explain why this algorithm sometimes fails.

Original language	English (US)
Pages (from-to)	1251-1254
Number of pages	4
Journal	IEEE Transactions on Acoustics, Speech, and Signal Processing
Volume	32
Issue number	6
DOIs	https://doi.org/10.1109/TASSP.1984.1164446
State	Published - Dec 1984
Externally published	Yes

ASJC Scopus subject areas

Signal Processing

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A Note on Iterative Fourier Transform Phase Reconstruction from Magnitude

Abstract

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