Summary
International Technical Conference on Circuits/Systems, Computers and Communications
2008
Session Number:P1
Session:
Number:P1-118
Generalization of Even-Shift Orthogonal Sequences to Multi-Dimension
Yukari Tsuchiyama, Shinya Matsufuji, Takahiro Matsumoto,
pp.-
Publication Date:2008/7/7
Online ISSN:2188-5079
Summary:
The even-shift orthogonal sequence (E-sequences) is a binary sequence, whose out-of-phase aperiodic auto-correlation function takes zero at any even shift. This paper considers the generalization of E-sequence to multi-dimension. It is shown that multi-dimensional E-sequences can be constructed by multi-dimensional complementary sequences. Especially a logic function generating multi-dimensional E-sequences of power-of-two length is formulated, which can give multi-dimensional E-sequences with a good correlation property that almost 3/4 of all shifts is zero.