Title :
Parameterization of perfect sequences
Author :
Maeda, Takao ; Hayashi, Takafumi
Author_Institution :
Sch. of Comput. Sci. & Eng., Univ. of Aizu, Aizu-Wakamatsu, Japan
Abstract :
A ZCZ(Zero Correlation Zone) sequence set plays an important role in the research of CDMA, ultrasonic imaging, position control and so on. Its a set of perfect sequences which has a property about cross-correlation. We treat the set of perfect sequences as a zero set of quadratic equations and try to simplify these equations. We prove "Decomposition Theorem" of perfect sequences and the theorem convert the problem of the structures of perfect sequences into the problem of the structures of quasi-perfect sequences which we named. Parameterizing of perfect sequences of easy case and quasi-perfect sequences lead us to the parameterization of perfect sequences of arbitrary length.
Keywords :
correlation methods; sequences; set theory; ZCZ sequence set; cross correlation; decomposition theorem; perfect sequences parameterization; quadratic equations; quasi perfect sequences; theorem convert; zero correlation zone sequence set;
Conference_Titel :
TENCON 2010 - 2010 IEEE Region 10 Conference
Conference_Location :
Fukuoka
Print_ISBN :
978-1-4244-6889-8
DOI :
10.1109/TENCON.2010.5685943
