Phase retrieval for wide-band signals
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JAMING, Philippe | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | KELLAY, Karim | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | University of the Philippines [UP System] | |
| dc.contributor.author | PEREZ III, Rolando | |
| dc.date.accessioned | 2024-04-04T02:54:53Z | |
| dc.date.available | 2024-04-04T02:54:53Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 1069-5869 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192315 | |
| dc.description.abstractEn | This study investigates the phase retrieval problem for wide-band signals. We solve the following problem: given f ∈ L 2 (R) with Fourier transform in L 2 (R, e^{2c|x|} dx), we find 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 first translate the problem to functions in the Hardy spaces on the disc via a conformal bijection, and take advantage of the inner-outer factorization. We also consider the same problem with additional constraints involving some transforms of f and g, and determine if these constraints force uniqueness of the solution. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | Phase retrieval for wide-band signals | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.subject.hal | Informatique [cs]/Traitement du signal et de l'image | |
| dc.identifier.arxiv | 1905.04095 | |
| bordeaux.journal | Journal of Fourier Analysis and Applications | |
| bordeaux.page | 54 | |
| bordeaux.volume | 26 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02124457 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02124457v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Fourier%20Analysis%20and%20Applications&rft.date=2020&rft.volume=26&rft.spage=54&rft.epage=54&rft.eissn=1069-5869&rft.issn=1069-5869&rft.au=JAMING,%20Philippe&KELLAY,%20Karim&PEREZ%20III,%20Rolando&rft.genre=article |
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