INFORMATION CHANGE THE WORLD

International Journal of Wireless and Microwave Technologies(IJWMT)

ISSN: 2076-1449 (Print), ISSN: 2076-9539 (Online)

Published By: MECS Press

IJWMT Vol.2, No.4, Aug. 2012

Construction of Periodic Complementary Multiphase Sequences Based on Perfect Sequences

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Author(s)

Zhenyu Zhang,Fanxin Zeng,Guixin Xuan

Index Terms

Periodic complementary multiphase sequences;perfect sequences;interleaving technique;correlation properties

Abstract

This paper provides a construction method of periodic complementary multiphase sequences. The proposed method is based on perfect sequences possessing ideal periodic auto-correlation properties. By interleaving any two different perfect sequences with the same length, a kernel set of periodic complementary sequence with multiphase elements can be generated. Compared with the known periodic complementary binary sequences, the presented periodic complementary multiphase sequences may obtain much more lengths of element sequences, which will assure that the generated sequences can provide a more flexible choice of parameters for communication systems.

Cite This Paper

Zhenyu Zhang,Fanxin Zeng,Guixin Xuan,"Construction of Periodic Complementary Multiphase Sequences Based on Perfect Sequences", IJWMT, vol.2, no.4, pp.65-72, 2012.

Reference

[1]L. R.Welch, “Lower bounds on the maximum cross correlation of signals,” IEEE Trans. on Information Theory, vol. 20, no. 3, pp. 397-399, 1974.

[2]H. H. Chen, The Next Generation CDMA Technologies. Chichester, John Wiley & Sons. Ltd., 2007.

[3]M. J. E. Golay, “Complementary series,” IRE. Trans. Inf. Theory, vol. IT-7, pp.82-87, Apr. 1961.

[4]C. C. Tseng and C. L. Liu, “Complementary sets of sequences,” IEEE Trans. Inf. Theory, vol. IT-18, no. 5, pp. 644-652, Sep. 1972.

[5]R. Sivaswamy, “Multi-phase complementary codes,” IEEE Trans. Inf. Theory, vol. 24, pp. 546-552, Sep. 1978.

[6]L. Bomer, M. Antweiler, “Periodic complementary binary sequences,” IEEE Transactions on Information Theory, vol 36, no. 6, pp. 1487-1494, 1990.

[7]W. N. Yuan, Y. F. Tu, and P. Z. Fan, “Optimal training sequences for cyclic-prefix-based single-carrier multi-antenna systems with space-time block-coding, ” IEEE Trans. on Wireless Commun., vol. 7, no. 11, pp. 4047-4050, 2008.

[8]Y. F. Tu, P. Z. Fan, L. Hao and X. H. Tang, “A simple method for generating optimal Z-periodic complementary sequence set based on phase shift,” IEEE Signal Process. Lett., vol.17, no. 10, pp. 891-893, 2010.

[9]P. Z. Fan, W. N. Yuan, and Y. F. Tu, “Z-complementary binary sequences,” IEEE Signal Process. Lett., vol. 14, no. 8, pp. 509-512, Aug. 2007.

[10]L. F. Feng, P. Z. Fan, X. H. Tang, and K.-K. Loo, “Generalized pairwise Z-complementary codes,” IEEE Signal Process. Lett., vol. 15, pp. 377-380, 2008.

[11]Z. Y. Zhang, W. Chen, F. X. Zeng, H. Wu, and Y. H. Zhong, “Z-complementary sets based on sequences with periodic and aperiodic zero correlation zone,” EURASIP J. Wireless Comm. And Networking, Volume 2009 (2009), Article ID 418026, 9 pages. doi:10.1155/2009/418026.

[12]X. D. Li, P. Z. Fan, X. H. Tang, and L. Hao, “Quadriphase Z-complementary sequences,” IEICE trans. Fundamentals, E93-A, no. 11, pp. 2251-2257, Nov. 2010.

[13]P. Z. Fan and M. Darnell, Sequence Design for Communications Applications, London, U. K.: Wiley, 1996.

[14]S. Matsufuji, N. Kuroyanagi, N. Suehiro, and P. Z. Fan, “Two types of polyphase sequence sets for approximately synchronized CDMA systems,” IEICE Trans. Fundamentals, vol. E86-A, no. 1, pp. 229–234, 2003.

[15]T. Hayashi, “Zero-correlation zone sequence set constructed from a perfect sequence,” IEICE Trans. Fundamentals, vol. E90-A, no. 5, pp. 1107–1111, May 2007.

[16]T. Hayashi, “A novel class of zero-correlation zone sequence set constructed from a perfect sequence,” IEICE Trans. Fundamentals, vol. E91-A, no. 4, pp. 1233–1237, April 2008.

[17]T. Hayashi, “A class of zero-correlation zone sequence set using a perfect sequence,” IEEE Signal Process. Lett., vol. 16, no.4, pp. 331-334, 2009.

[18]Z. C. Zhou, X. H. Tang, and G. Gong, “A new class of sequences with zero or low correlation zone based on interleaving technique,” IEEE Trans. Inf. Theory, vol. 54, no. 9, pp. 4267-4273, Sept. 2008.

[19]X. H. Tang, and W. H. Mow, “A new systematic construction of zero correlation zone sequences based on interleaved perfect sequences,” IEEE Trans. Inf. Theory, vol. 54, no. 12, pp. 5729-5734, Dec. 2008.

[20]Z. C. Zhou, Z. Pan, and X. H. Tang, “New families of optimal zero correlation zone sequences based on interleaved technique and perfect sequences,” IEICE Trans. Fundamentals, vol. E91-A, no. 12, pp. 3691–3697, Dec. 2008.

[21]D. C. Chu, “Polyphase codes with good periodic correlation properties,” IEEE Trans. on Inf. Theory, vol. 18, no. 4, pp. 531-532, 1972.