Title :
Aperiodic properties of generalized binary Rudin-Shapiro sequences and some recent results on sequences with a quadratic phase function
Author :
Stanczak, Slawomir ; Boche, Holger
Author_Institution :
Broadband Mobile Commun. Networks, Heinrich-Hertz-Inst. fur Nachrichtentech. Berlin GmbH, Germany
fDate :
6/22/1905 12:00:00 AM
Abstract :
This paper addresses the problem of designing good spreading sequences for CDMA systems that have small-valued auto- and cross-correlation functions. In contrast to the usual mini-max criteria, the l2 criteria of goodness are used to assess correlation properties of spreading sequences. To motivate it, direct evidence is given to demonstrate the utility of the l2 criteria in the context of CDMA performance. Following, these criteria are applied to two types of known unit-magnitude sequences: generalized binary Rudin-Shapiro sequences, and sequences with quadratic phase function. The construction rule of the well-known binary Rudin-Shapiro sequences is based on a recursion formula that starts with the Kronecker sequences. It is shown that the asymptotic limits (N→∞) of l 2 criteria obtained for original Rudin-Shapiro sequences are also valid in case of two arbitrary sequences obtained by means of the same recursion formula as long as the initial sequences are complementary. As to the sequences with quadratic phase function, the upper and lower bounds on the inverse merit-factor are proved to decrease with the order √N+1, which indicates excellent auto-correlation properties of the sequence
Keywords :
binary sequences; code division multiple access; correlation theory; spread spectrum communication; CDMA systems; Kronecker sequences; aperiodic properties; autocorrelation; crosscorrelation; generalized binary Rudin-Shapiro sequences; goodness criteria; inverse merit-factor; quadratic phase function; recursion formula; spreading sequences; unit-magnitude sequences; Autocorrelation; Base stations; Broadband communication; Code division multiplexing; Electronic mail; Frequency synchronization; Global Positioning System; Interference; Mobile communication; Multiaccess communication;
Conference_Titel :
Broadband Communications, 2000. Proceedings. 2000 International Zurich Seminar on
Conference_Location :
Zurich
Print_ISBN :
0-7803-5977-1
DOI :
10.1109/IZSBC.2000.829263