Abstract
The decorrelator or the linear minimum mean-squared-error (LMMSE) detector has its computational complexity of O(K 3) where K is the number of users. On the other hand, the computational complexity of iterative detector algorithms such as conjugate gradient (CG) and generalized product bi-conjugate gradient (GPBiCG) methods only require the computational complexity O(K 2) per iteration. In this paper, the symmetric successive overrelaxation (SSOR) preconditioning scheme is applied to the GPBiCG method. The performance of the detectors is investigated and it is found that the SSOR preconditioned GPBiCG method can provide significantly faster convergence.
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References
Moshavi, S.: Multi-user detection for DS-CDMA communications. IEEE Commun. Mag. 34, 124–136 (1996)
Verdú, S.: Minimum probability of error for asynchronous Gaussian multiple access channels. IEEE Trans. Inform. Theory 32, 85–96 (1986)
Lupas, R., Verdú, S.: Near-far resistance of multiuser detectors in asynchronous channels. IEEE Trans. Commun. 38, 496–508 (1990)
Xie, Z., Short, R.T., Rushforth, C.K.: A family of suboptimum detector for coherent multiuser communications. IEEE J. Select. Areas Commun. 8, 683–690 (1990)
Juntti, M.J.: Linear multiuser detector update in synchronous dynamic CDMA systems. In: Proceedings of the IEEE International Symposium, vol. 3, pp. 980–984. Personal, Indoor and Mobile Radio Communication, Toronto, Ontario, Canada (1995)
Wijayasuriya, S.S.H., Norton, G.H., McGeehan, J.P.: A sliding window decorrelating receiver for multiuser DS-CDMA mobile radio networks. IEEE Trans. Veh. Technol. 45(3), 503–521 (1996)
Verdú, S.: Recent progress in multiuser detection. In: Proceedings of the 1988 International Conference Advances in Communication and Control Systems, pp. 66–77 (1988)
Wei, L., Rasmussen, L.K.: Near ideal noise whitening filter for an asynchronous time-varying CDMA system. IEEE Trans. Commun. 44, 1355–1361 (1996)
Alexander, P.D., Rasmussen, L.K.: On the windowed Cholesky factorization of the time-varying asynchronous CDMA channel. IEEE Trans. Commun. 46, 735–737 (1998)
Juntti, M.J., Aazhang, B.: Finite memory-length linear multiuser detection for asynchronous CDMA communications. IEEE Trans. Commun. 45, 611–622 (1997)
Juntti, M.J., Aazhang, B., Lilleberg, J.O.: Iterative implementation of linear multiuser detection for dynamic asynchronous CDMA systems. IEEE Trans. Commun. 46, 503–508 (1998)
Elders-Boll, H., Schotten, H.D., Busboom, A.: Efficient implementation of linear multiuser detectors for asynchronous CDMA systems by linear interference cancellation. Euro. Trans. Telecommun. 9(4), 427–437 (1998)
Buehrer, R.M., Nicoloso, S.P., Gollamudi, S.: Linear versus nonlinear interference cancellation. J. Commun. Networks 1, 118–133 (1999)
Wang, X., Poor, H.V.: Space-time multiuser detection in multipath CDMA channels. IEEE Trans. Signal Processing 47, 2356–2374 (1999)
Tan, P.H., Rasmussen, L.K.: Linear interference cancellation in CDMA based on iterative techniques for linear equation systems. IEEE Trans. Commun. 48, 2099–2108 (2000)
Sawahashi, M., Andoh, H., Higuchi, K.: Interference rejection weight control for pilot symbol-assisted coherent multistage interference canceller using recursive channel estimation in DS-CDMA mobile radio. IEICE Trans. Fundamentals E81-A, 957–970 (1998)
Rasmussen, L.K., Alexander, P.D., Lim, T.J.: A linear model for CDMA signals received with multiple antennas over multipath fading channels. In: Swarts, F., van Rooyen, P., Oppermann, I., Lötter, M. (eds.) CDMA Techniques for 3rd Generation Mobile Systems. Kluwer: Norwell, MA Chap. 2 (1998)
Juntti, M.J., Lilleberg, J.O.: Implementation aspects of linear multiuser detectors in asynchronous CDMA systems. In: Proceedings of the IEEE International Symposium Spread Spectrum Techniques and Applications, vol. 2, pp. 842–846. Mainz, Germany (1996)
Saad, Y.: Iterative Methods for Sparse Linear Systems. PWS-Publishing Company (1996)
Zhang, S.-L.: GPBi-CG: Generalized product-type methods based on Bi-CG for solving nonsymmetric linear systems. SIAM J. Sci. Comput. 18, 537–551 (1997)
Axelsson, O., Kolotilina, L.Yu.: Preconditioned conjugate gradient methods. In: Dold, A., Eckmann, B., Takens, F. (eds.) Proceedings 1989, in Lecture Notes in Mathematics, vol. 1457, Springer-Verlag (1990)
Kershaw, D.S.: The incomplete Cholesky-conjugate gradient method for the solution of systems of linear equations. J. Comput. Phys. 26, 43–65 (1978)
Chen, R.S., Yung, E.K.N., Yang, A.H., Chan, C.H.: Application of preconditioned Krylov subspace iterative FFT techniques to Method of Lines for analysis of the infinite plane metallic grating. Micro. Opt. Technol. Lett. 35(2) 160–167 (2002)
Chen, R.S., Tsang, K.F., Mo, L.: Wavelet based sparse approximate inverse preconditioned CG algorithm for fast analysis of microstrip circuits. Micro. Opt. Technol. Lett. 35(5), 383–389 (2002)
Chen, R.S., Yung, E.K.N., Tsang, K.F., Mo, L.: Block-Toeplitz-Matrix-based CG-FFT Algorithm with Inexact Sparse Preconditioner for Analysis of Microstrip Circuits. Micro. Opt. Technol. Lett. 34(5), 347–351 (2002)
Chen, R.S., Yung, E.K.N., Chan, C.H., Wang, D.X., Fang, D.G.: Application of the SSOR preconditioned conjugate gradient algorithm to the vector FEM for 3-dimensional full-wave analysis of Electromagnetic-field boundary value problems. IEEE Trans. Micro. Theory Tech. 50(4), 1165–1172 (2002)
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Yang, L., Chen, R.S., Siu, Y.M. et al. SSOR preconditioned GPBiCG method for the linear interference cancellation of asynchronous CDMA systems. J Comput Electron 5, 267–273 (2006). https://doi.org/10.1007/s10825-006-0144-0
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DOI: https://doi.org/10.1007/s10825-006-0144-0