A Provably Accurate Algorithm for Recovering Compactly Supported Smooth Functions from Spectrogram Measurements

Michael Perlmutter, Nada Sissouno, Aditya Viswantathan, Mark Iwen

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations

Abstract

We present an algorithm which is closely related to direct phase retrieval methods that have been shown to work well empirically [1], [2] and prove that it is guaranteed to recover (up to a global phase) a large class of compactly supported smooth functions from their spectrogram measurements. As a result, we take a first step toward developing a new class of practical phaseless imaging algorithms capable of producing provably accurate images of a given sample after it is masked by just a few shifts of a fixed periodic grating.
Original languageAmerican English
Title of host publication2020 28th European Signal Processing Conference (EUSIPCO)
DOIs
StatePublished - 2021
Externally publishedYes

Keywords

  • Short Time Fourier Transform (STFT) magnitude measurements
  • coded diffraction patterns
  • phase retrieval
  • phaseless imaging
  • spectogram inversion

EGS Disciplines

  • Mathematics

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