A Quadriphase Sequence Pair Whose Aperiodic Auto/Cross-Correlation Functions Take Pure Imaginary Values

Shinya MATSUFUJI  Naoki SUEHIRO  Noriyoshi KUROYANAGI  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E82-A   No.12   pp.2771-2773
Publication Date: 1999/12/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section LETTER (Special Section on Spread Spectrum Techniques and Applications)
Category: 
Keyword: 
complementary sequences,  bent function,  correlation,  sequence design,  spread spctrum communication,  

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Summary: 
This paper presents a quadriphase sequence pair, whose aperiodic auto-correlation functions for non-zero shifts and cross-one for any shift take pure imaginary values. Functions for pairs of length 2n are formulated, which map the vector space of order n over GF(2) to Z4. It is shown that they are bent for any n, such that their Fourier transforms take all the unit magnitude.