Synchronization and matched filtering in time-frequency using the sunflower spiral

C.W. Korevaar, Andre B.J. Kokkeler, Pieter-Tjerk de Boer, Gerardus Johannes Maria Smit

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    Synchronization and matched filtering of signals in time dispersive, frequency dispersive and time-frequency dispersive channels are addressed in this paper. The ‘eigenfunctions’ of these channels form the signal sets under investigation. While using channel-eigenfunctions is a first requirement for undistorted data transmission, a second necessity is to achieve good synchronization over the domains of time and frequency. The synchronization problem in time-frequency for non-stationary signals is discussed. A spiral correlation method is proposed to achieve synchronization and matched filtering in time-frequency. Spiral correlation, using the pattern of a sunflower, is simulated and evaluated. It is argued that partial spiral correlation can lead to a significant reduction in computational complexity necessary for synchronization. Generalizations and identities based on the fractional Fourier transform are provided which omit the need for fractional delay filters.
    Original languageUndefined
    Title of host publicationProceedings of the IEEE Global Communications Conference, GLOBECOM 2012
    Place of PublicationUSA
    Pages3959 -3964
    Number of pages6
    ISBN (Print)978-1-4673-0920-2
    Publication statusPublished - 3 Dec 2012
    Event2012 IEEE Global Communications Conference, GLOBECOM 2012: The Magic of Global Connectivity - Anaheim, United States
    Duration: 3 Dec 20127 Dec 2012

    Publication series

    PublisherIEEE Communications Society
    ISSN (Print)1930-529X


    Conference2012 IEEE Global Communications Conference, GLOBECOM 2012
    Abbreviated titleGLOBECOM
    Country/TerritoryUnited States
    Internet address


    • EWI-22668
    • Time-frequency
    • multi-carrier
    • Hermite
    • METIS-299958
    • IR-88279
    • Matched filter
    • Communications
    • Synchronization

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