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@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
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    dct:description """
              This thesis is concerned with the problem of signals and systems identification applied to digital communication. While<br />the majority of the existing methods are stochastic, we propose an algebraic and deterministic approach. Moreover, we<br />will treat signals and systems directly in continuous time, which enables us to explore the knowledge of their shape,<br />that may be hidden or forgotten by the sampling operation. Furthermore, the proposed techniques are simple and rapid,<br />what allows their on-line implementation.<br /><br />Firstly, we consider the problem of correcting distortions in a power-line communication system, exploring its flatness<br />property. The inverse system obtained is then applied to another context, more specifically to the restoration of the<br />voice timbre in telephone networks.<br /><br />Afterwards, the system identification problem is considered in the context of a new deterministic theory, based on<br />differential algebra and operational calculus. This theory gives rise to a new general algorithm for the input-output<br />identification of a rational system. The rapidness of estimation also allows the presentation of the local filtering<br />notion, which consists in representing a high dimension system by a time-varying low dimension model. This approach is<br />interesting since it permits the direct demodulation of the received signal, without the need of explicitly identifying<br />or equalizing the channel.<br /><br />Finally, the demodulation of a continuous phase modulation signal is addressed in the light of the algebraic techniques<br />proposed. The solution consists in describing the received signal, at each symbol period, as a linear differential<br />equation (generally with time-varying coefficients), with coefficients that are functions of the current symbol.<br />Therefore, the symbol by symbol demodulation becomes immediate and particularly robust to noise.
            """ ;
    dct:identifier "tel-00084799" ;
    dct:issued "2026-05-10T05:48:56.418459"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-10T05:48:56.418464"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Algebraic and determinist identification of continuous-time signals and systems: Application to digital signal processing problems" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00084799v1/resource/43407d68-c72a-48a0-8032-32fc78407ab8> ;
    dcat:keyword "algebraic-methods",
        "cpm-demodulation",
        "deconvolution",
        "demodulation-de-signaux-cpm",
        "flat-systems",
        "infoeu-reposemanticsdoctoralthesis",
        "methodes-algebriques",
        "spisignalengineering-sciences-physicssignal-and-image-processing",
        "stictheodomainsticdomainstictheo",
        "systemes-plats",
        "theses" ;
    dcat:landingPage <https://theses.hal.science/tel-00084799> .

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    dct:issued "2026-05-10T05:48:56.434162"^^xsd:dateTime ;
    dct:modified "2026-05-10T05:48:56.406407"^^xsd:dateTime ;
    dct:title "Algebraic and determinist identification of continuous-time signals and systems: Application to digital signal processing problems" ;
    dcat:accessURL <https://theses.hal.science/tel-00084799> .

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