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Aperiodic properties of binary Rudin-Shapiro sequences and a lower bound on the merit-factor of sequences with a quadratic phase function

: Stanczak, S.; Boche, H.

Walke, B. ; Informationstechnische Gesellschaft -ITG-:
European wireless '99 - mobile Kommunikation : Vorträge der ITG-Fachtagung vom 6. - 8. Oktober 1999 in München
Berlin: VDE-Verlag, 1999 (ITG-Fachbericht 157)
ISBN: 3-8007-2490-1
Informationstechnische Gesellschaft (Fachtagung) <1999, München>
Fraunhofer HHI ()
binary sequences; code division multiple access; correlation theory; interference suppression; aperiodic properties; binary rudin-shapiro sequences; merit factor; quadratic phase function; auto-correlation properties; polyphase sequences; noise enhancement factor; flat power density spectrum; out-of-phase peaks; CDMA

This paper is concerned with the aperiodic auto-correlation properties of polyphase sequences for CDMA. In particular, the behaviour of criteria of goodness is investigated for two types of sequences: binary Rudin-Shapiro sequences and sequences with a quadratic phase function. Moreover, the noise enhancement factor is of interest, which, if close to one, implies a flat power density spectrum and with it a low aperiodic auto-correlation function. Massey (1997) stated the problem of whether it is possible to construct a sequence, for which this factor tends to one while increasing the sequence length. It is shown that the l1-norm of the out-of-phase peaks of the aperiodic auto-correlation magnitude could be considered in order to solve this problem.