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    Recursive algorithm to directly obtain the sum of correlations in a CSS

    TitleRecursive algorithm to directly obtain the sum of correlations in a CSS
    Publication TypeJournal Article
    Año de publicación2011
    AutoresMarzziani, CD, Ureña, J, Hernández, Á, Garcia, JJ, Álvarez, FJ, Jiménez, A, del Perez, MC
    Idioma de publicaciónEnglish
    JournalSignal Processing
    Volumen91
    Número5
    Páginas1343 - 1346
    Fecha de publicación05/2011
    Palabras claveCode division multiple access; Complementary Set of Sequences; Filter banks; Correlators; Pulse compression methods
    ISSN01651684
    URLhttp://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V18-51TYDXG-2&_user=885393&_coverDate=05%2F31%2F2011&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_acct=C000047351&_version=1&_urlVersion=0&_userid=885393&md5=49453ab5c
    DOI10.1016/j.sigpro.2010.12.010
    Abstract

    This paper presents a new recursive algorithm to directly obtain the sum of the autocorrelation functions of the M sequences belonging to a Complementary Set of Sequences (M-CSS). The proposed algorithm allows a digital filter with only one stage to be obtained, what significantly reduces the total number of memory requirements, multiplications and additions to be performed in comparison with the use of M correlators, even when these correlators could have an efficient implementation. The use of this algorithm can be of great relevancy since there is an increasing interest in the use of CSS (or derived sequences such as Loosely Synchronized—LS-sequences or Zero Correlation Zone—ZCZ-sequences) in the field of communications and sensor systems.

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