Abstract
A new set of binary sequences—Periodic Complementary Binary Sequence Pair (PCSP) is proposed. A new class of block design—Difference Family Pair (DFP) is also proposed. The relationship between PCSP and DFP, the properties and existing conditions of PCSP and the recursive constructions for PCSP are given.
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References
P. Fan, M. Darnell, Sequence Designs for Communications Applications, Taunton, Somerset, U.K., Res. Studies Press Ltd., 1996, chapter 1.
G. Weathers, E. Holiday, Group-complementary array coding for radar clutter rejection, IEEE Trans. on Aerosp. Electron. Syst., 29(1983)1, 369–379.
K. Feng, P. J. Shiue, Q. Xiang, On aperiodic and periodic complementary binary sequences, IEEE Trans. on information Theory, 45(1999)1, 296–303.
L. Bomer, M. Antweiler, Periodic complementary binary sequences, IEEE Trans. on Information Theory, 36(1990)6, 1487–1494.
Y. Yang, Development in perfect signal design, Bulletin of National Natural Science Foundation of China, 9(1995)2, 7–12, (in Chinese).
Y. Yang, Theory and Design of Perfect Signal, Beijing, Press of People’s Posts and Telecommunications, 1995, chapter 1,3, (in Chinese).
X. Zhao, W. He, Z. Wang, S. Jia, The theory of the perfect binary array pairs, Acta Electronica Sinica, 27(1999)1, 34–37, (in Chinese)
C. Xu, Difference set pairs and approach for the study of perfect binary array pairs, Acta Electronica Sinica, 29(2001)1, 87–89, (in Chinese).
L. D. Baumert, Cyclic Difference Sets, Lecture Notes in Mathematics, Vol.182. New York, Springer-Verlog, 1971, chapter 1.
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Supported by National Natural Science Foundation of China (69972042), Natural Science Fund of Hebei Provice(599245) and Science Foundation of Yanshan University
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Xu, C., Zhao, X. Periodic complementary binary sequence pairs. J. of Electron.(China) 19, 152–159 (2002). https://doi.org/10.1007/s11767-002-0027-x
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DOI: https://doi.org/10.1007/s11767-002-0027-x