On logic functions of complementary arrays of length 2n

Authors:
Shinya Matsufuji;Takahiro Matsumoto
Affiliations:
Graduate School of Science and Engineering, Yamaguchi University, Ube, Yamaguchi, Japan;Graduate School of Science and Engineering, Yamaguchi University, Ube, Yamaguchi, Japan
Venue:
AIC'10/BEBI'10 Proceedings of the 10th WSEAS international conference on applied informatics and communications, and 3rd WSEAS international conference on Biomedical electronics and biomedical informatics
Year:
2010

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Abstract

Complementary arrays means genaralization of a pair of sequences to multi-dimension, that at the same phase-shift the sum of these aperiodic auto-correlation functions takes zero except zero-shift. This paper considers logic functions of complementary arrays with length 2n including polyphase arrays whose elements consist of unit magnitude. The functions can show that these number is huge and relates to the phase number and length, but not dimension.