A crucial aspect of time-frequency (TF) analysis is the identification of separate components in a multicomponent signal. The Wigner-Ville distribution is the classical tool for representing such signals, but it suffers from cross-terms. Other methods, which are members of Cohen's class of distributions, also aim to remove the cross-terms by masking the ambiguity function (AF), but they result in reduced resolution. Most practical time-varying signals are in the form of weighted trajectories on the TF plane, and many others are sparse in nature. Therefore, in recent studies the problem is cast as TF distribution reconstruction using a subset of AF domain coefficients and sparsity assumption. Sparsity can be achieved by constraining or minimizing the l1 norm. In this article, an l1 minimization approach based on projections onto convex sets is proposed to obtain a high-resolution, cross-term-free TF distribution for a given signal. The new method does not require any parameter adjustment to obtain a solution. Experimental results are presented.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Cross-term-free time–frequency distribution reconstruction via lifted projections


    Beteiligte:
    Deprem, Zeynel (Autor:in) / Cetin, A. Enis (Autor:in)


    Erscheinungsdatum :

    2015-01-01


    Format / Umfang :

    1621680 byte




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    Lifted grabbing mechanism for buildings

    ZHU XIXI | Europäisches Patentamt | 2020

    Freier Zugriff


    LIFTED OBJECT ATTITUDE STABILIZING DEVICE

    HATTORI MITSUO | Europäisches Patentamt | 2018

    Freier Zugriff