DocumentCode
1496819
Title
Multilevel perfect sequences over integers
Author
Li, Xiao Dong ; Fan, P.Z. ; Mow, Wai Ho ; Darnell, M.
Author_Institution
Sch. of Math. & Comput. Eng., Xihua Univ., Chengdu, China
Volume
47
Issue
8
fYear
2011
Firstpage
496
Lastpage
497
Abstract
Multilevel perfect sequences over integers are introduced which include the conventional binary perfect sequences as special cases. Such sequences can be derived from multilevel cyclic Hadamard matrices over integers. It is proved that integer-valued perfect sequences of odd lengths with the energy being non-square integers do not exist, and the existence of four-level perfect sequences of lengths up to 11 over the alphabet sets {±1, ±2} and {±1, ±3} is completely determined.
Keywords
Hadamard matrices; binary sequences; alphabet set; binary perfect sequence; four-level perfect sequence; integer-valued perfect sequence; multilevel cyclic Hadamard matrices; multilevel perfect sequence; nonsquare integer;
fLanguage
English
Journal_Title
Electronics Letters
Publisher
iet
ISSN
0013-5194
Type
jour
DOI
10.1049/el.2010.3634
Filename
5751791
Link To Document