Abstract
It is well-known that the multi-valued CDMA spreading codes can be designed by means of a pair of mirror multi-rate filter banks based on some optimizing criterion. This paper indicates that there exists a theoretical bound in the performance of its circulating correlation property, which is given by an explicit expression. Based on this analysis, a criterion of maximizing entropy is proposed to design such codes. Computer simulation result suggests that the resulted codes outperform the conventional binary balanced Gold codes for an asynchronous CDMA system.
Similar content being viewed by others
References
Verdu Sergio, Multiuser Detection. Cambridge, Cambridge University Press, 1998, Chapter 1.
Ali N. Akansu, M. V. Tazebay, R. A. Haddad, A new look at digital orthogonal transmultiplexers for CDMA communications, IEEE Trans. on Signal Processing, 45(1997)1, 263–267.
Qinghua Shi, Shixin Cheng, Optimal spreading sequence design based on PR-QMF theory, Electron. Lett., 35(1999)6, 447–448.
C. S. Burrus, R. A. Gopinath, H. Guo, Introduction to Wavelets and Wavelets Transforms—A Primer, New York, Prentice Hall, 1998, 155–160.
Cheng Yunpeng, et al., Matrix Theory, Second Edition, Xi’an, Northwestern Polytechnical University Publisher, June, 1999, 409–413, (in Chinese).
L. R. Welch, Lower bounds on the maximum cross correlation of signals, IEEE Trans. on Information Theory, IT-20(1974)3, 397–399.
J. D. Gibson, The Mobile Communications Handbook, Boca Raton, CRC Press, 1999, Chapter 8.
Author information
Authors and Affiliations
Additional information
Supported by the National Natural Science Foundation of China (No. 69872027)
About this article
Cite this article
Bi, J., Wang, Y. & Yi, K. A new design method of CDMA spreading codes based on multi-rate unitary filter bank. J. of Electron.(China) 18, 204–211 (2001). https://doi.org/10.1007/s11767-001-0029-0
Issue Date:
DOI: https://doi.org/10.1007/s11767-001-0029-0