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Sequences with small aperiodic correlations in the vicinity of the zero shift

 
: Stanczak, S.; Boche, H.

Huber, J. ; Informationstechnische Gesellschaft -ITG-:
4th International ITG Conference Source and Channel Coding 2002. Conference record : January 28 - 30, 2002, Berlin
Berlin: VDE-Verlag, 2002 (ITG-Fachbericht 170)
ISBN: 3-8007-2670-X
pp.183-190
International Conference Source and Channel Coding <4, 2002, Berlin>
English
Conference Paper
Fraunhofer HHI ()

Abstract
The paper addresses a problem of designing sequences with small aperiodic autocorrelations and crosscorrelations within a given window around the zero shift. We provide a systematic method for constructing mutually orthogonal sequences of length N so that all j-th aperiodic autocorrelations and all j-th crosscorrelations are bounded above by j/N, 1 j < d where d N is a given parameter. Furthermore, we prove a tight upper bound on a number of sequences, whose all aperiodic correlations are zero within the window {-d + 1, ..., d - 1) except for the autocorrelation at the origin. Such sequences are used in LAS-CDMA (Large Area Synchronized - Code Division Multiple Access), a new CDMA-system proposed as the basis for all future wireless communications.

: http://publica.fraunhofer.de/documents/N-169746.html