A phase retrieval method for signals in modulation-invariant spaces

Author

Pohl, Volker ; Yapar, Cagkan ; Boche, Holger ; Yang, Fei

Author_Institution

Lehrstuhl fur Theor. Informationstechnik, Tech. Univ. Munchen, München, Germany

fYear

2014

fDate

4-9 May 2014

Firstpage

46

Lastpage

50

Abstract

This paper considers the problem of signal recovery from magnitude measurements for signals in modulation invariant spaces. It proposes a measurement setup such that almost every signal in such a signal space can be reconstructed from its amplitude measurements up to a global constant phase and with a sampling rate of four times the rate of innovation of the signal space. The applicability of the proposed scheme under noise measurements is demonstrated by computer simulations.

Keywords

Fourier transforms; modulation; signal reconstruction; signal sampling; spatial variables measurement; Fourier transform; amplitude measurements; computer simulations; global constant phase; magnitude measurements; modulation-invariant spaces; noise measurements; phase retrieval method; sampling rate; signal recovery problem; signal space reconstruction; Extraterrestrial measurements; Fourier transforms; Frequency measurement; Generators; Modulation; Phase measurement; Vectors; Phase retrieval; modulation-invariant spaces; sampling; stationary sequences;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing (ICASSP), 2014 IEEE International Conference on

Conference_Location

Florence

Type

conf

DOI

10.1109/ICASSP.2014.6853555

Filename

6853555