Since Barker-like sequences could not be found for sequence lengths greater than 13, radar system designers have been searching for biphase sequences with discrimination (ratio of the magnitude of the mainlobe to the magnitude of the peak sidelobe of the autocorrelation function of the sequence) greater than 13. We present new results on biphase Legendre sequences for all prime lengths. The results of the paper are as follows. 1) Two lemmas on the symmetric properties of the Legendre sequences are stated and using these lemmas and simple rules of modulo arithmetic, a method is suggested for generating long sequences which does not require multiplications and divisions. 2) From the properties of autocorrelation function of the cyclically shifted Legendre sequence (LS) for prime lengths, a computationally efficient method is evolved for carrying out systematic search for sequences with discrimination greater than 13. The proposed method reduces the computational load by a factor of approximately 16. Using these techniques, we generated codes up to length 1019. In each case we searched for the code which gives the maximum discrimination for that length.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Biphase Sequence Generation with Low Sidelobe Autocorrelation Function


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    01.03.1986


    Format / Umfang :

    1166488 byte




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch





    Biphase heating

    ROMAIN HODOT / CLAUDE SARNO / FREDERIC MARTIN et al. | Europäisches Patentamt | 2021

    Freier Zugriff

    BIPHASE HEATING

    HODOT ROMAIN / SARNO CLAUDE / MARTIN FREDERIC et al. | Europäisches Patentamt | 2017

    Freier Zugriff

    Biphase heating

    HODOT ROMAIN / SARNO CLAUDE / MARTIN FREDERIC et al. | Europäisches Patentamt | 2018

    Freier Zugriff