Abstract
In this paper, a property of Frequency Hopping (FH) sequence set with No Hit Zone (NHZ) is analyzed. Based on matrix transform and mapping methods, respectively, two classes of NHZ FH sequences are presented. These NHZ FH sequences have good Hamming auto-correlation and Hamming cross-correlation properties. FH Code-Division Multiple Access (FH-CDMA) communication systems employing such NHZ FH sequences will eliminate multiple-access interference if the maximum time delay is shorter than the length of the NHZ.
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References
P. Z. Fan, M. Darnell. Sequence Design for Communications Application, RSP. John Wiley & Sons Ltd, London, 1996, 337–368.
A. Lepmpel, H. Greenberger. Families of sequences with optimal Hamming correlation properties. IEEE Trans. on Inform. Theory, 20(1974)1, 90–94.
S. V. Maric. Frequency hop multiple access codes based upon the theory of cubic congruences. IEEE Trans. on Aerosp. Electron. Syst., 26(1990)6, 1035–1039.
P. Udaya, M. U. Siddiqi. Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings. IEEE Trans. on Inform. Theory, 44(1998)4, 90–94.
P. Z. Fan, M. H. Lee, D. Y. Peng. New family of hopping sequences for time/frequency hopping CDMA systems. IEEE Trans. on Wireless Communications, 4(2005)6, 2836–2842.
D. Y. Peng, T. Peng, P. Z. Fan. Generalized class of cubic frequency-hopping sequences with large family size. IEE Proceedings on Communications, 152(2005)6, 897–902.
W. X. Ye, P. Z. Fan. Two classes of frequency hopping sequences with No-Hit Zone. Proceedings of the Seventh International Symposium on Communications Theory and Applications (ISCTA’2003), Ambleside, U.K., July 13–18, 2003, 304–306.
D. Y. Peng, P. Z. Fan, M. H. Lee. Lower bounds on the periodic Hamming correlations of frequency hopping sequences with low hit zone. Science in China, Ser. F, 49(2006)2, 208–218.
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Supported by the National Natural Science Foundation of China (No.90604035 and 60572142), and the Program for New Century Excellent Talents in University (NCET) (No.NECT-05-0795).
Communication author: Ye Wenxia, born in 1968, female, Ph.D. candidate. Institute of Mobile Communications, Southwest Jiaotong University, Chengdu 610031, China.
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Ye, W., Fan, P. Construction of Frequency Hopping sequences with No Hit Zone. J. of Electron.(China) 24, 305–308 (2007). https://doi.org/10.1007/s11767-005-0202-y
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DOI: https://doi.org/10.1007/s11767-005-0202-y