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

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. key words: complementary sequences, bent function, correlation, sequence design, spread spctrum communication