• 沒有找到結果。

Chapter 5 Simulation Results

5.4 Comparison of the MIMO-OFDM and MIMO MC-CDMA systems

5.5.2 Analyses of System Performance in Multi-cell Environment

In order to reduce interferences, directional antenna can be used [15]. When S (a small integer) directional antennas are used at a base station to illuminate S different sectors in a cell, the interference can be reduced by a factor of S. This reduction can be defined as sectored antenna gain G . Another approach for interference reduction is the relatively low speech s

activity factor, which is about 40% during two-way conversations [21]. This can be defined as voice activity gain Gv.

By Gaussian approximation, the interference signal can be modeled as Gaussian noise;

hence the discussion of the system performance in multi-cell environment can be simplified.

It should be noticed that in our MIMO systems, the interference signal power received at each receive antenna is proportional to the number of transmit antenna M. For example, in our simulations M =4 , a -5 dB SIR is equivalent to a -11dB by Gaussian simulation results of the SIR distributions in paragraph 4.2, we can obtain the simulated distribution of user’s average error probability at two tiers’ multi-cell environment (ignoring the effect of noise) in Figure 5.12. We can see that MIMO MC-CDMA systems outperform MIMO-OFDM systems in both downlink and uplink channels.

Figure 5.12: Simulated distribution of user’s average error probability at two tiers’ multi-cell environment

Chapter 6

Conclusions

High data rate and spectral efficiency is a major demand for the future generation of wireless communication systems. Many attractive candidates of transmission schemes are based on OFDM. In this paper, we conduct a comparison of the MIMO-OFDM and MIMO MC-CDMA systems. For MIMO-OFDM system, we adopt the V-BLAST detection and convolutional coding technique; for MIMO MC-CDMA system, we use an iterative multi-layered detection method combined with a MPIC technique to suppress the interference induced by multi-layered transmission and multipath environment. We observe that MIMO MC-CDMA significantly surpasses MIMO-OFDM at low SNR region. At high SNR region, MIMO-OFDM slightly outperforms MIMO MC-CDMA. In Chapter 4, a multi-cell environment is introduced hence we can extend our investigations to more realistic scenario, i.e., cellular structures. Simulations show a good match by replacing the interfering signals with the Gaussian approximation. From computer simulations of the SIR distributions we can obtain the user’s average error probability in a multi-cell environment for both MIMO-OFDM

and MIMO MC-CDMA systems. Simulation results show that MIMO MC-CDMA has a better performance in a multi-cell environment.

APPENDIX A

The Modified MMSE V-BLAST Equalizer

Our goal is to design the equalization matrix G to minimize the mean square error, namely

{

2

}

E x Gz where x is the transmitted signal vector and z is the received signal vector after matching in frequency domain as described in subsection 3.1. Each component of x has zero mean and unit variance, i.e., E

{ }

xxH =I. Moreover, the vector n is the noise with zero mean

and variance σ , i.e., n2 E

{ }

nnHn2I. By the principle of orthogonality, we have:

( )

{

H

}

0

E x Gz z− = (A-1)

Expand the equation, the first term becomes:

{ } { } { }

The second term becomes:

{ } { ( )( ) }

(

H H σn2 H

)

1 H

= +

G H HH H H H H H (A-4)

Reference

[1] G. J. Foschini and M. J. Gans, “On limits of wireless communications in a fading environment when using multiple antennas,” Wireless Pers. Commun., vol. 6, no. 3, pp.

311-335, March 1998.

[2] E. Telatar, “Capacity of multi-antenna Gaussian channels,” European Trans. On Telecommun.,vol. 10, no. 6, pp. 585-595, Nov./Dec. 1999.

[3] G. Raleigh, and J. M. Cioffi, “Spatio-temporal coding for wireless communication,”

IEEE Trans. Commun., vol. 46, no. 3, pp. 357-366, March 1998.

[4] G.D. Golden, C.J. Foschini, R.A. Valenzuela, and P.W. Wolniansky, ”Detection algorithm and initial laboratory results using V-BLAST space-time communication architecture”, Electronics Letters, vol. 35, pp. 14 – 16, Jan. 1999.

[5] A. C. McCormick and E. A. Al-Susa, “Multicarrier CDMA for Future Generation Mobile Communication,” IEE Journal on Electronics & Communication Engineering, vol. 14, no. 2, pp. 52-60, Apr. 2002.

[6] S. Hara and R. Prasad, “Design and performance of multicarrier CDMA system in frequency selective Rayleigh fading channels,” IEEE Trans. Veh. Technol., vol. 48, no. 5, pp. 1584–1594, Sep. 1999.

[7] R. Kimura and E. Adachi, “Comparison of OFDM and Multicode MC-CDMA in Frequency Selective Fading Channel,” Electron. Letters, vol. 39, no. 3, pp. 317-318, Feb.

2003.

[8] S. Abeta, H. Atarashi, M. Sawahashi, and F. Adachi, “Performance of coherent multi-carrier/DS-CDMA and MC-CDMA for broadband packet wireless access,” IEICE Trans. Commun., vol. E84-B, no. 3, pp. 406–414, Mar. 2001.

[9] K. Higuchi, A. Fujiwara and M. Sawahashi, “Multipath Interference Canceller for High-Speed Packet Transmission with Adaptive Modulation and Coding Scheme in W-CDMA Forward Link,” IEEE Journal on Commun., vol. 20, no. 2, pp. 419-432, Feb.

2002.

[10] N. Miki, S. Abeta, H. Atarashi and M. Sawahashi, “Multipath Interference Canceller Using Soft-Decision Replica Combined with Hybrid ARQ in W-CDMA Forward Link,”

in Proc. IEEE Veh. Technol. Conf., vol. 3, Oct. 2001, pp. 1922-1926.

[11] T. Kawamura, K. Higuchi, Y. Kishiyama and M. Sawahashi, “Comparison Between Multipath Interference Canceller and Chip Equalizer in HSDPA in Multipath Channel,”

in Proc. IEEE Veh. Technol. Conf., vol. 1, May 2002, pp. 459-463.

[12] KyunByoung Ko, Dongseung Kwon, Daesoon Cho, Changeon Kang and Daesik Hong,

“Performance analysis of a multistage MPIC in 16-QAM CDMA systems over multipath Rayleigh fading channels,” in Proc. IEEE Veh. Technol. Conf., vol. 4, April 2003, pp. 2807-2811.

[13] P. W. Wolniansky, G. J. Foschini, G. D. Golden, R. A. Valenzuela, “V-BLAST: An Architecture for Realizing Very High Data Rates Over the Rich-Scattering Wireless Channel,” in Proc. Int. Symp. Signals, Systems, and Electronics (ISSSE’98), Pisa, Italy, Oct. 1998, pp. 295–300.

[14] Ching-Kai Li, “A novel iterative multi-layered detection method for MIMO multi-code multicarrier systems”, M.S. Thesis, Dept. Com. Eng., NCTU, Hsinchu, ROC, 2005.

[15] William C.Y Lee. Mobile Cellular Telecommunications Systems, McGraw-Hill Book Company, 1989.

[16] A. J. Viterbi, A. M. Viterbi, and E. Zehavi, “Other-cell interference in cellular power-controlled CDMA,” IEEE Transactions on Communications, vol. 42, no. 21314, pp. 1501-1504. February/March/April 1994.

[17] Chia-Chi Huang, “Computer simulation of a direct sequence spread spectrum cellular radio architecture,” IEEE Trans. Veh. Technol., vol. 41, pp. 554-550, Nov. 1992.

[18] K. Gilhousen, I. Jacobs, R. Padovani, A. Viterbi, L. Weaver, and C. Wheatley, “‘On the capaciry of a cellular CDMA system: IEEE Transactions on Vehicular Technology, vol.

40, no. 2, pp. 303-312. May 1991.

[19] Jonathan P. Castro, “The UMTS network and radio access technology: air interference techniques for future mobile systems,” New York: Wiley, 2001.

[20] John G. Proakis, Digital Communications, Mc-Graw Hill, 4th ed., 2001.

[21] P. T. Brady, “A statistical analysis of on-off patterns in 16 conversations,” Bell System Tech. J., pp. 73-91, Jan. 1968.

相關文件