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.
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Shinya MATSUFUJI, Naoki SUEHIRO, Noriyoshi KUROYANAGI, "A Quadriphase Sequence Pair Whose Aperiodic Auto/Cross-Correlation Functions Take Pure Imaginary Values" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 12, pp. 2771-2773, December 1999, doi: .
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_12_2771/_p
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@ARTICLE{e82-a_12_2771,
author={Shinya MATSUFUJI, Naoki SUEHIRO, Noriyoshi KUROYANAGI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Quadriphase Sequence Pair Whose Aperiodic Auto/Cross-Correlation Functions Take Pure Imaginary Values},
year={1999},
volume={E82-A},
number={12},
pages={2771-2773},
abstract={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.},
keywords={},
doi={},
ISSN={},
month={December},}
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TY - JOUR
TI - A Quadriphase Sequence Pair Whose Aperiodic Auto/Cross-Correlation Functions Take Pure Imaginary Values
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2771
EP - 2773
AU - Shinya MATSUFUJI
AU - Naoki SUEHIRO
AU - Noriyoshi KUROYANAGI
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 1999
AB - 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.
ER -