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Phase retrieval for wide-band signals

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorJAMING, Philippe
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorKELLAY, Karim
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierUniversity of the Philippines [UP System]
dc.contributor.authorPEREZ III, Rolando
dc.date.accessioned2024-04-04T02:54:53Z
dc.date.available2024-04-04T02:54:53Z
dc.date.issued2020
dc.identifier.issn1069-5869
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192315
dc.description.abstractEnThis 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.isoen
dc.publisherSpringer Verlag
dc.title.enPhase retrieval for wide-band signals
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Analyse classique [math.CA]
dc.subject.halMathématiques [math]/Variables complexes [math.CV]
dc.subject.halInformatique [cs]/Traitement du signal et de l'image
dc.identifier.arxiv1905.04095
bordeaux.journalJournal of Fourier Analysis and Applications
bordeaux.page54
bordeaux.volume26
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02124457
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02124457v1
bordeaux.COinSctx_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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