Erlang capacity for the reverse link of an imperfect power controlled DS/CDMA cellular system in multipath fading environments

다중경로 페이딩 환경에서 불완전 전력제어된 DS/CDMA 셀룰라 시스템의 역방향 링크에 대한 얼랑용량

  • Kim, Hang-Rae (Dept. of com. and comm. Eng., Chungbuk Nat'l Univ.) ;
  • Kim, Nam (Dept. of com. and comm. Eng., Chungbuk Nat'l Univ.)
  • 김항래 (충북대학교 정보통신공학과) ;
  • 김남 (충북대학교 정보통신공학과)
  • Published : 2000.05.01

Abstract

In this paper, for the reverse link of a imperfect power controlled DS/CDMA cellular system when a mobile radio channel is a Rayleigh distributed multipath fading channel, A extended DS/CDMA blocking probability formula considering both shadowing and multipath fading is derived. Erlang capacity and equivalent channel number considering shadowing are analyzed and compared with those considering both shadowing and multipath fading, respectively. The DS/CDMA blocking probability is calculated based on the analysis method that obtains Erlang capacity and ICF(interference correction factor) using the median value of $E_{b(i)}$/ $I_{0}$ corresponding to each reverse link user Assuming that the blocking probability set 2%, it is observed that the Erlang capacity is 19.97 Erlang at the data rate $R_{b}$=9.6 kbps and 11.67 Erlang at the data rate $R_{b}$=14.4 kbps and then is less 16% and 19% than the Erlang capacity considering shadowing only, respectively. It is also shown that the effect of multipath fading must not be ignored and then exact Erlang capacity and equivalent channel numbers that the DS/CDMA cellular system can support are provided.d.d.d.

본 논문에서는 이동 무선채널이 레일레이(Rayleigh) 분포된 다중경로 페이딩 채널(multipath fading channel)일 경우에 불완전 전력제어된 DS/CDMA 셀룰라 시스템의 역방향 링크에 대하여, 음영효과와 다중 경로 페이딩을 모두 고려한 확장된 DS/CDMA 블럭킹 확률식(blocking probability formula)을 유도한다. 음영효과(shadowing)만을 고려한 경우와 음영효과와 다중경로 페이딩을 모두 고려한 경우에 대하여 각각 얼랑용량과 등가 채널수를 비교 분석한다. DS/CDMA 블럭킹 확률은 각 사용자에 해당하는 E/sub b(i)//Ⅰ/sub 0/의 중간 값(median value)을 이용하여 얼랑용량과 간섭보정계수를 구하는 분석방법으로 계산한다. 2%의 블럭킹 확률을 가정하면 데이터를 R/sub b/=9.6 kbps에서는 19.97 얼랑, R/sub b/=14.4 kbps에서는 11.67 얼랑으로 음영효과만을 고려한 경우보다 각각 16%와 19%의 용랑이 감소함을 알 수 있다. 또한 다중경로 페이딩의 영향을 무시해서는 안된다는 것을 보이고 DS/CDMA 셀룰라 시스템이 지원할 수 있는 정확한 얼랑용량과 등가채널수를 제공한다.

Keywords

References

  1. ELA/TLA, IS-95 Mobile station-base station compatibility standard for dual-mode wideband spread spectrum celluar sysyem, Feb. 1993
  2. ANSI J-STD-008, Personal station-base station compatibility requirement for 1.8 to 2.0 GHz CDMA personal communication system, Mar. 1995
  3. A. J. Viterbi, 'When not to spread spectrum-A sequel,' IEEE Commun. Mag., vol. 23, pp. 12-17, Apr. 1985 https://doi.org/10.1109/MCOM.1985.1092554
  4. J. Holtzman, 'A simple, accurate method to calculate spread-spectrum multiple-access error probabilities,' IEEE Trans. on Commun., vol. 40, no. 3, pp, 461-464, March 1992 https://doi.org/10.1109/26.135712
  5. A. M. Viterbi and A. J. Viterbi, 'Erlang capacity of a power controlled CDMA system.' IEEE J. on Selected Areas in Commun., vol. 11, no. 6, pp. 892-900, Aug. 1993 https://doi.org/10.1109/49.232298
  6. J. S. Lee and L. E. Miller, 'On the Erlang capacity of CDMA cellular system,' in GLOBECOM'95 Conf., Singapore. pp. 1877-1883, November 13-17, 1995 https://doi.org/10.1109/GLOCOM.1995.502732
  7. M. G. Jansen and R. Prasad, 'Capacity, throughput, and delay analysis of a cellular DS CDMA system with imperfect power control and imperfect sectorization,' IEEE Trans. on Vehicular Technology, vol. 44, no. 1, pp. 67-75, Feb. 1995 https://doi.org/10.1109/25.350271
  8. S. Ariyavisitakul and L. Chang, 'Signal and interference statistics of a CDMA system with feedback power control,' IEEE Trans. on Vehicular Technology, vol. 41, no. 11, pp. 1626-1634, Nov. 1993 https://doi.org/10.1109/26.241743
  9. A. J. Viterbi, A. M. Viterbi and E. Zehavi, 'Performance of power-controlled wideband terrestrial digital communication,' IEEE Trans. on Commun., vol. 41, no 4, pp. 559-569, April 1993 https://doi.org/10.1109/26.223780
  10. L. F. Chang, F. Ling, D. D. Falconer and N. R. Sollenberger, 'Comparison of two conventional orthogonal coding techniques for CDMA radio communications system,' IEEE Trans. on Commun., vol. 43, no. 6, pp. 2028-2037, June 1995 https://doi.org/10.1109/26.387443
  11. J. G. Proakis, Digital Communications, Mcgraw-Hill, 3rd ed., 1989
  12. R. Padovani, 'Reverse link performance of IS-95 Based cellular systems' IEEE Personal Commun. Mag., pp. 28-34, Third Quarter 1994
  13. K. I. Kim, 'CDMA cellular engineering issues,' IEEE Trans. on Vehicular Technolgy, vol. 42, no. 3, pp. 345-350, Aug. 1993 https://doi.org/10.1109/25.231887