Browse > Article
http://dx.doi.org/10.13067/JKIECS.2012.7.2.263

Analysis of Cross-Correlation of Extended Non-Linear Binary Sequences  

Choi, Un-Sook (동명대학교 자율전공학부)
Cho, Sung-Jin (부경대학교 응용수학과)
Kwon, Sook-Hi (부경대학교 응용수학과)
Publication Information
The Journal of the Korea institute of electronic communication sciences / v.7, no.2, 2012 , pp. 263-269 More about this Journal
Abstract
Code-Division Multiple-Access(CDMA) allows several users simultaneous access to a common channel by assigning a distinct pseudonoise sequence called spectrum code to each user. Each user in a CDMA system uses a assigned spectrum code to modulate their signal. Choosing the codes used to modulate the signal is very important in the performance of CDMA systems. The best performance will occur when there is good separation between the signal of a desired user and the signals of other users. The receiver synchronizes the code to recover the data. The use of an independent code allows multiple users to access the same frequency band at the same time. In this paper we propose a generalized model of non-linear binary sequence using trace function and analyze cross-correlation of these sequences. These sequences with low correlation, large linear span and large family size, in a direct-sequence spread spectrum communication system, help to minimize multiple access interference, increase security degree of system and enlarge user number.
Keywords
CDMA; spread-spectrum communication systems; spreading sequence; nonlinear binary sequence; cross-correlation;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 T. Helleseth and P.V. Kumar, "Sequences with low correlation," in Handbook of Coding Theory, V.S. Pless and W.C. Huffman, Eds., Amsterdam, The Vetherland: North-Holland, Vol. II, pp. 1765-1853, 1998.
2 G. Gong, "New designs for signal sets with low cross correlation, balance property, and large linear span: GF(p) case," IEEE Trans. Inform. Theory, Vol. 4, pp. 2847-2867, 2002.
3 S.W. Golombl, "On the classification of balanced binary sequences of period $2^{n}-1$," IEEE Trans. Inform. Theory, Vol. IT-26(6), pp. 730-732, 1980.
4 M.K. Simon, J.K. Omura, R.A. Scholtz, and B.K. Levitt, Spread Spectrum Communications, Vol. 1, Rockville, MD: Computer Science Press, 1985.
5 S.W. Golomb, "Shift Register Sequences," Holden Day, 1967.
6 R.A. Scholtz and R. Welch, "GMW sequences," IEEE Trans. Inform. Theory, Vol. IT-30, pp. 548-553, 1984.
7 J.S. No and P.V. Kumar, "A new family of binary pseudorandom sequences having optimal periodic correlation properties and large linear span," IEEE Trans. Inform. Theory, Vol. IT-35(2), pp. 371-379, 1989.
8 P. Z. Fan and M. Darnell, "Sequence design for communications applications," John Wiley and Sons Ltd., 1996.
9 L.R. Welch, "Lower bounds on the maximum cross-correlation of signals," IEEE Trans. Inform. Theory, Vol. IT-20, pp. 397-399, 1974.
10 T. Kasami, "Weight distribution of Bose-Chaudhuri-Hocquenghem codes," in Combinatorial Mathematics and Its Applications. Chapel Hill, NC: Univ. North Carolina Press, 1969.
11 최은숙, 조성진, 김진경, "GF($GF(2^{p)}$)위에서의 LFSR 과 CA를 이용한 shrunken 수열의 분석," 한국전자통신학회논문지, 5권, 4호, pp. 418-424, 2010.
12 최은숙, 조성진, "최적의 상호상관관계를 갖는 이진 수열의 설계," 한국전자통신학회논문지, 6 권, 4호, pp. 539-544, 2011.
13 K. Fazel and S. Kaiser, "Multi-carrier and Spread Spectrum Systems," John Wiley and Sons Ltd., 2003.
14 D.J. Goodman and H.G. Myung, "Single Carrier FDMA; A New Air Interface for Long Term Evolution," John Wiley and Sons Ltd,. 2008.
15 G. Chakraborty, "Genetic algorithm to solve optimum TDMA transmission schedule in broadcast packet radio networks," IEEE Trans. Commun., Vol. 52(5), pp. 765-777, 2004.
16 R. Prasad, CDMA for Wireless Personal Communications, Artech House Publishers, 1996.
17 R. Lidl and H. Niederreiter, Finite Fields, Cambridge University Press, 1997.