Phase Retrieval for Wide Band Signals
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JAMING, Philippe | |
| hal.structure.identifier | Laboratoire d'Analyse, Topologie, Probabilités [LATP] | |
| dc.contributor.author | KELLAY, Karim | |
| dc.contributor.author | PEREZ III, Rolando | |
| dc.date.accessioned | 2024-04-04T02:57:43Z | |
| dc.date.available | 2024-04-04T02:57:43Z | |
| dc.date.conference | 2019-07-08 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192586 | |
| dc.description.abstractEn | This study investigates the phase retrieval problem for wideband signals. More precisely, we solve the following problem: given f ∈ L 2 (R) with Fourier transform in L 2 (R, e 2c|x| dx) we determine all functions g ∈ L 2 (R) with Fourier transform in L 2 (R, e 2c|x| dx), such that |f (x)| = |g(x)| for all x ∈ R. To do so, we translate the problem into a phase retrieval problem for functions in Hardy spaces on the disc and use the inner-outer factorization. | |
| dc.language.iso | en | |
| dc.title.en | Phase Retrieval for Wide Band Signals | |
| dc.type | Communication dans un congrès | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.conference.title | SAMPTA 2019 | |
| bordeaux.country | FR | |
| bordeaux.conference.city | Bordeaux | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02436171 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | non | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02436171v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=JAMING,%20Philippe&KELLAY,%20Karim&PEREZ%20III,%20Rolando&rft.genre=unknown |
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