Details

Autor(en) / Beteiligte

• Iwen, Mark
• Perlmutter, Michael
• Sissouno, Nada
• Viswanathan, Aditya

Titel

Phase Retrieval for [Formula omitted] via the Provably Accurate and Noise Robust Numerical Inversion of Spectrogram Measurements

Ist Teil von

• The Journal of fourier analysis and applications, 2023-02, Vol.29 (1)

Ort / Verlag

Springer

Erscheinungsjahr

2023

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper, we focus on the approximation of smooth functions [Formula omitted], 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.