Uniqueness results in an extension of Pauli's phase retrieval problem
نویسندگان
چکیده
منابع مشابه
Uniqueness results in an extension of Pauli’s phase retrieval problem
In this paper, we investigate the uniqueness of the phase retrieval problem for the fractional Fourier transform (FrFT) of variable order. This problem occurs naturally in optics and quantum physics. More precisely, we show that if u and v are such that fractional Fourier transforms of order α have same modulus |Fαu| = |Fαv| for some set τ of α’s, then v is equal to u up to a constant phase fac...
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In a variety of fields, in particular those involving imaging and optics, we often measure signals whose phase is missing or has been irremediably distorted. Phase retrieval attempts the recovery of the phase information of a signal from the magnitude of its Fourier transform to enable the reconstruction of the original signal. A fundamental question then is: “Under which conditions can we uniq...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2014
ISSN: 1063-5203
DOI: 10.1016/j.acha.2014.01.003