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CLC number: TN914; TN919

On-line Access: 2008-01-10

Received: 2007-07-15

Revision Accepted: 2007-10-29

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Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.2 P.207-210

http://doi.org/10.1631/jzus.A071380


Generalized bounds on the partial periodic correlation of complex roots of unity sequence set


Author(s):  Li-fang FENG, Ping-zhi FAN

Affiliation(s):  Institute of Mobile Communication, Southwest Jiaotong University, Chengdu 610031, China

Corresponding email(s):   lifang.feng@gmail.com, p.fan@ieee.org

Key Words:  Partial correlation, Zero correlation zone (ZCZ), Low correlation zone (LCZ), CDMA


Li-fang FENG, Ping-zhi FAN. Generalized bounds on the partial periodic correlation of complex roots of unity sequence set[J]. Journal of Zhejiang University Science A, 2008, 9(2): 207-210.

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T1 - Generalized bounds on the partial periodic correlation of complex roots of unity sequence set
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A071380


Abstract: 
In this paper, the generalized bounds are derived on the partial periodic correlation of complex roots of unity sequence set with zero or low correlation zone (ZCZ/LCZ) as the important criteria of the sequence design and application. The derived bounds are with respect to family size, subsequence length, maximum partial autocorrelation sidelobe, maximum partial crosscorrelation value and the ZCZ/LCZ. The results show that the derived bounds include the previous periodic bounds, such as Sarwate bound, Welch bound, Peng-Fan bound and Paterson-Lothian bound, as special cases.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Appuswamy, R., Chaturvedi, A.K., 2006. A new framework for constructing mutually orthogonal complementary sets and ZCZ sequences. IEEE Trans. on Information Theory, 52(8):3817-3826.

[2] Fan, P.Z., 2004. Spreading sequence design and theoretical limits for quasisynchronous CDMA systems. EURASIP J. Wirel. Commun. & Networking, (1):19-31.

[3] Fan, P.Z., Hao, L., 2000. Generalized orthogonal sequences and their applications in synchronous CDMA. IEICE Trans. on Fundam., E83-A(11):2054-2069.

[4] Paterson, K.G., Lothian, P.J.G., 1998. Bounds on partial correlations of sequences. IEEE Trans. on Information Theory, 44(3):1164-1175.

[5] Peng, D.Y., Fan, P.Z., 2002. Generalized Sarwate bounds on periodic autocorrelations and cross-correlations of binary sequences. IEE Electronics Letters, 38(24):1521-1523.

[6] Peng, D.Y., Fan, P.Z., 2003. Generalized Sarwate Bounds on the Periodic Correlation of Complex Roots of Unity Sequences. Proc. IEEE Int. Symp. on Personal, Indoor and Mobile Radio Communications. IEEE Press, Beijing, p.449-452.

[7] Pursley, M.B., 1977. Performance evaluation for phase-coded spread-spectrum multiple-access communication-part I: system analysis. IEEE Trans. on Commun., 25(8):795-799.

[8] Pursley, M.B., Sarwate, D.V., 1977. Performance evaluation for phase-coded spread-spectrum multiple-access communication-part II: code sequence analysis. IEEE Trans. on Commun., 25(8):800-803.

[9] Sarwate, D.V., 1979. Bounds on crosscorrelation and autocorrelation of sequences. IEEE Trans. on Information Theory, 25:720-724.

[10] Sarwate, D.V., Pursley, M.B., Basar, T.U., 1984. Partial correlation effects in direct-sequence spread-spectrum multiple-access communication systems. IEEE Trans. on Commun., 32(5):567-573.

[11] Tang, X.H., Mow, W.H., 2006. Design of spreading codes for quasi-synchronous CDMA with intercell interference. IEEE J. Selected Areas Commun., 24(1):84-93.

[12] Welch, L.R., 1974. Lower bounds on the maximum cross correlation of signals. IEEE Trans. on Information Theory, 20:397-399.

[13] Zhou, Z.C., Tang, X.H., 2006. A New Class of Sequences with Zero Correlation Zone Based on Interleaved Perfect Sequences. IEEE Information Theory Workshop. Chengdu, p.548-551.

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