한국통신학회논문지 (The Journal of Korean Institute of Communications and Information Sciences)

  • 제34권2C호
  • /
  • Pages.153-157
  • /
  • 2009
  • /
  • 1226-4717(pISSN)
  • /
  • 2287-3880(eISSN)
한국통신학회 (The Korean Institute of Commucations and Information Sciences)
권호 표지

4진 낮은 상관 구역 수열군의 새로운 생성법

A New Construction Method of Quaternary LCZ Sequence Set

  • 발행 : 2009.02.28
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

본 논문에서는 짝수 N에 대하여 매개 변수가 (N,M,L,$\varepsilon$)인 이진 낮은 상관 구역 수열군(LCZ sequence)를 이용하여 동일한 매개 변수를 갖는 4진 낮은 상관 구역 수열군을 생성하는 방법을 제시한다. 새로 제안된 생성법은 이진 낮은 상관 구역 수열과 위상을 변화시킨 수열에 Krone와 Sarwate의 논문에 나온 역 gray 사상을 적용하였다. 본 논문에서 제시하는 생성법은 주기 N이 짝수인 모든 이진 낮은 상관 구역 수열군에 적용하는 것이 가능하다.

In this paper, for even integer N, we propose a new construction method of quaternary low correlation zone(LCZ) sequence set from a binary LCZ sequence set with parameters (N,M,L,$\varepsilon$). Proposed method applies the inverse gray mapping from Krone and Sarwate to binary LCZ sequences and their phase shifts. The only needed condition of binary LCZ sequence set used in this construction is even period.

키워드

참고문헌

  1. J.-H. Chung and K. Yang, 'New design of quaternary low-correlation zone sequence sets and quaternary Hadamard matrices,' IEEE Trans. Inform. Theory, Vol.54, No.8, Aug. 2008 https://doi.org/10.1109/TIT.2008.926406
  2. R. De Gaudenzi, C. Elia, and R. Viola, 'Bandlimited quasi-synchronous CDMA: A novel satellite access technique for mobile and personal communication systems,' IEEE J. Sel. Areas Commun., Vol.10, No.2, pp.328-343, Feb. 1992 https://doi.org/10.1109/49.126984
  3. J.-W. Jang, J.-S. No, and H. Chung, "A new construction of optimal $p^{2}$-ary low correlation zone sequences using uni¯ed sequences," IEICE Trans. Fundamentals, Vol.E89-A, No.10, pp.2656-2661, Oct. 2006 https://doi.org/10.1093/ietfec/e89-a.10.2656
  4. J.-W. Jang, J.-S. No, H. Chung, and X. Tang, "New sets of optimal $p$-ary low correlation zone sequences," IEEE Trans. Inf. Theory, Vol.53, No.2, pp.815-821, Feb. 2007 https://doi.org/10.1109/TIT.2006.889715
  5. S.-H. Kim, J.-W. Jang, J.-S. No, and H. Chung, 'New constructions of quaternary low correlation zone sequences,' IEEE Trans. Inf. Theory, Vol.51, No.4, pp.1469-1477, Apr. 2005 https://doi.org/10.1109/TIT.2005.844068
  6. Y.-S. Kim, J.-W. Jang, J.-S. No, and H. Chung, 'New design of low correlation zone sequence sets,' IEEE Trans. Inf. Theory, Vol.52, No.10, pp.4607-4616, Oct. 2006 https://doi.org/10.1109/TIT.2006.881730
  7. S. M. Krone and D. V. Sarwate, 'Quadriphse sequences for spread-spectrum multiple-access communication,' IEEE Trans. Inf. Theory, vo.IT-30, No.3, pp.520-529, May 1984
  8. F. J. McWilliams and N.J.A. Sloane, The Theory of Error-Correcting Codes, New York: North-Holland, 1977.
  9. R. Lidl and H. Niederreiter, Finite Fields. Vol.20 of Encyclopedia of Mathematics and Its Applications, Reading, MA: Addison-Wesley,1983
  10. B. Long, P. Zhang, and J. Hu, 'A generalized QS-CDMA system and the design of new spreading codes,' IEEE Trans. Veh. Technol., Vol.47, No.6, pp.1268-1275, Nov. 1998 https://doi.org/10.1109/25.728516
  11. Jong-Seon No, "$p$$d$-form sequences with ideal autocorrelation property," IEEE Tran. Inf. Theory, Vol.48, No.9, pp.2540-2546, September 2002 https://doi.org/10.1109/TIT.2002.801406
  12. X. H. Tang and P. Z. Fan, "A class of pseudonoise sequences over$GF\left(p \right)$with low correlation zone," IEEE Trans. Inf. Theory, Vol.47, No.4, pp.1644–1649, May 2001 https://doi.org/10.1109/18.923753
  13. X. H. Tang, P. Z. Fan, and S. Matsufuji, 'Lower bounds on correlation of spreading sequence set with low or zero correlation zone,' Electron. Lett., Vol.36, No.6, pp.551-552, Mar. 2000 https://doi.org/10.1049/el:20000462
  14. Z. Zhou, X. 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, Sep. 2008 https://doi.org/10.1109/TIT.2008.928256
  15. J. S. Cha, S. Kameda, K. Takahashi, M. Yokoyama, N. Suehiro, K. Masu, K. Tsubouchi,'Proposal and Implementation of Approximately synchronized CDMA system using novel biphase sequences' Proc. IEICE ITC-CSCC 99, Sado Island Japan, Vol.1, pp.56-59, July. 1999.
  16. J.S. Cha, S. Kameda, M. Yokoyama, H. Nakase, K. Masu and K. Tsubouchi,"New binary sequences with zero-correlation duration for approximately synchronised CDMA" Electronics Letters, Vol.36, Issue 11, pp.991-993, 2000. https://doi.org/10.1049/el:20000703
  17. J.S. Cha,'Class of ternary spreading sequences with zero correlation duration'Electronics Letters, Vol.37, Issue.10, pp.636-637, 2001. https://doi.org/10.1049/el:20010450
  18. S.-Y. Lee, J. S. Cha, J.-W. Seo, E.-Y. Ko, and M.-C. Shin,'A class of multi-phase ZCD sequqnces for MAI-Cancelled DS-CDMA Systems'Proc. ICIS, Seoul, Korea, Vol.1, pp.817-820, 2002