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

  • Authors:

  • Carlos De Marziani;JesúS UreñA;ÁLvaro HernáNdez;Juan JesúS GarcíA;Fernando J. ÁLvarez;Ana JiméNez;Ma Carmen PéRez

  • Affiliations:

  • National University of Patagonia San Juan Bosco, Department of Electronics Engineering, Ciudad Universitaria, Ruta Prov. 1, Km.4, 9005 Comodoro Rivadavia, Chubut, Argentina and National Council on ...;Department of Electronics, University of Alcalá, Escuela Politécnica, Campus Universitario s/n, Ctra. Madrid-Barcelona, Km. 33,6, 28871 Alcalá de Henares, Madrid, Spain;Department of Electronics, University of Alcalá, Escuela Politécnica, Campus Universitario s/n, Ctra. Madrid-Barcelona, Km. 33,6, 28871 Alcalá de Henares, Madrid, Spain;Department of Electronics, University of Alcalá, Escuela Politécnica, Campus Universitario s/n, Ctra. Madrid-Barcelona, Km. 33,6, 28871 Alcalá de Henares, Madrid, Spain;Department of Electrical Engineering, Electronics and Automatics, University of Extremadura, Facultad de Ciencias, Campus Universitario s/n, 06071 Badajoz, Spain;Department of Electronics, University of Alcalá, Escuela Politécnica, Campus Universitario s/n, Ctra. Madrid-Barcelona, Km. 33,6, 28871 Alcalá de Henares, Madrid, Spain;Department of Electronics, University of Alcalá, Escuela Politécnica, Campus Universitario s/n, Ctra. Madrid-Barcelona, Km. 33,6, 28871 Alcalá de Henares, Madrid, Spain

  • Venue:
  • Signal Processing
  • Year:
  • 2011

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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.