A Note on Iterative Fourier Transform Phase Reconstruction from Magnitude

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

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)1251-1254
Number of pages4
JournalIEEE Transactions on Acoustics, Speech, and Signal Processing
Issue number6
StatePublished - Dec 1984
Externally publishedYes

ASJC Scopus subject areas

  • Signal Processing


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