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Iwen, M.* ; Perlmutter, M.* ; Sissouno, N. ; Viswanathan, A.*

Phase retrieval for L2([- π, π]) via the provably accurate and noise robust numerical inversion of spectrogram measurements.

J. Fourier Anal. Appl. 29:8 (2023)
Postprint DOI
Open Access Green
In this paper, we focus on the approximation of smooth functions f: [- π, π] → C, up to an unresolvable global phase ambiguity, from a finite set of Short Time Fourier Transform (STFT) magnitude (i.e., spectrogram) measurements. Two algorithms are developed for approximately inverting such measurements, each with theoretical error guarantees establishing their correctness. A detailed numerical study also demonstrates that both algorithms work well in practice and have good numerical convergence behavior.
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Publication type Article: Journal article
Document type Scientific Article
Corresponding Author
Keywords Phase Retrieval ; Ptychography ; Spectrogram Measurements ; Stft Magnitude Measurements; Reconstruction; Uniqueness; Algorithm
ISSN (print) / ISBN 1069-5869
Journal Journal of Fourier Analysis and Applications, The
Quellenangaben Volume: 29, Issue: 1, Pages: , Article Number: 8 Supplement: ,
Publisher Birkhäuser
Publishing Place 233 Spring Street, 6th Floor, New York, Ny 10013 Usa
Non-patent literature Publications
Reviewing status Peer reviewed
Institute(s) Strategy and Digitalization (DIG)
Grants Technische Universität München
National Science Foundation