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Ambiguities on convolutions with applications to phase retrieval

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Walk, Philipp ; Jung, Peter ; Pfander, Götz E. ; Hassibi, Babak:
Ambiguities on convolutions with applications to phase retrieval.
In: Matthews, Michael B. (Hrsg.): Conference Record of the 50th Asilomar Conference on Signals, Systems and Computers. - Pacific Grove, California, 2016. - S. 1228-1234
ISBN 978‑1‑5386‑3954‑2

Kurzfassung/Abstract

In this work we characterize all ambiguities of the convolution on two fixed finite-dimensional complex vector spaces. It will be shown that the convolution ambiguities correspond to factorization ambiguities in the z-domain, which are generated by swapping their zeros. We use this polynomial description to show a deterministic version of a recently introduced masked Fourier phase retrieval design. A semidefinite program can be used to recover exactly the noise-free input signals if they share no common factors. Then, we reformulate the problem as a deterministic blind deconvolution with knowledge of their autocorrelations. Moreover, numerically simulations show robustness against additive noise.

Weitere Angaben

Publikationsform:Aufsatz in einem Buch
Schlagwörter:Correlation, Convolution, Deconvolution, Phase measurement, Time-domain analysis, Electronic mail, Channel estimation
Institutionen der Universität:Mathematisch-Geographische Fakultät > Mathematik > Lehrstuhl für Mathematik - Wissenschaftliches Rechnen/Informatik
Weitere URLs:
DOI / URN / ID:10.1109/ACSSC.2016.7869569
Titel an der KU entstanden:Nein
Eingestellt am:21. Nov 2017 12:26
Letzte Änderung:21. Nov 2017 12:26
URL zu dieser Anzeige:http://edoc.ku-eichstaett.de/20812/