MIMO - ISI channels: Inner-outer factorization and applications to equalization

IWCMC 2006 - Proceedings of the 2006 International Wireless Communications and Mobile Computing Conference

Volumn 2006, Issue , 2006, Pages 1393-1398

  Boche, Holger ^a   Pohl, Volker ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Equalization; Inner outer factorization; MIMO systems; Spectral factorization

Indexed keywords

ALGORITHMS; EQUALIZERS; SIGNAL FILTERING AND PREDICTION; SIGNAL INTERFERENCE; COMMUNICATION CHANNELS (INFORMATION THEORY); COMPUTER SCIENCE; DECODING; INTERSYMBOL INTERFERENCE; MATHEMATICAL OPERATORS; MIMO SYSTEMS; MOBILE COMPUTING; MULTIPLEXING; PHOTOMAPPING; TRANSFER FUNCTIONS; WIRELESS TELECOMMUNICATION SYSTEMS;

INNER-OUTER FACTORIZATION; MIMO SYSTEMS; PRECODERS; SPECTRAL FACTORIZATION;

COMMUNICATION CHANNELS (INFORMATION THEORY); FACTORIZATION;

INNER-OUTER FACTORIZATION; ISI CHANNELS; MATRIX; MULTIPLE INPUT MULTIPLE OUTPUT SYSTEM; NUMERICAL ALGORITHMS; PRACTICAL ALGORITHMS; PRECODERS; SPECTRAL FACTORIZATIONS; SUFFICIENT CONDITIONS; THEORETICAL INVESTIGATIONS;

EID: 34247358705     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1143549.1143828     Document Type: Conference Paper

References (17)

1. A. J. Paulraj, D. A. Göre, R. U. Nabar, and H. Bölcskei, "An overview of MIMO communications -a key to gigabit wireless," Proc. IEEE, vol. 92, no. 2, pp. 198-218, Feb. 2004.
2. H. Bölcskei, D. Gesbert, and A. J. Paulrayj, "On the capacity of OFDM-based spatial multiplexing Systems," IEEE Trans. Commun., vol. 50, no. 2, pp. 225-234, Feb. 2002.
3. A. Scaglione, G. Giannakis, and S. Barbarossa, "Redundant Filterbank Precoders and Equalizers, Part I and II," IEEE Trans. Signal Processing, vol. 47, no. 7, pp. 1988-2022, July 1999.
4. H. Sampath, P. Stoica, and A. Paulraj, "Generalized precoder and decoder for MIMO channels using the weighted MMSE criterion," IEEE Trans. Commun., vol. 49, no. 12, pp. 2198-2206, Dec. 2001.
5. S.-Y. Kung, Y. Wu, and X. Zhang, "Bezout Space-Time Precoders and Equalizers for MIMO Channels," IEEE Trans. Signal Processing, vol. 50, no. 10, pp. 2499-2514, Oct. 2002.
6. V. Pohl, V. Jungnickel, and C. von Helmolt, "The Algebraic Structure of Frequency-Selective MIMO Channels," IEEE Trans. Signal Processing, vol. 53, no. 7, pp. 2498-2512, July 2005.
7. N. Vucic and H. Boche, "Equalization for MIMO ISI Systems using Channel Inversion under Causality, Stability, and Robustness Constraints," in Proc. IEEE Intern. Conf. on Acoustic, Speech, and Signal Processing (ICASSP), Toulouse, France, May 2006.
8. H. Boche and V. Pohl, "General Structure of the Causal and Stable Inverses of MIMO Systems with ISI," in Proc. 16th IEEE Intern. Symposium on Personal, Indoor and Mobile Radio Commun. (PIMRC), Berlin, Germany, Sept. 2005.
9. T. Chen and B. A. Francis, "Spectral and Inner-Outer Factorization of Rational Matrices," SIAM J. Matrix Anal., vol. 10, no. 1, pp. 1-17, 1989.
10. C. Oara and A. Varga, "Computation of General Inner-Outer and Spectral Factorizations," IEEE Trans. Automat. Contr., vol. 45, no. 12, pp. 2307-2325, Dec. 2000.
11. J. B. Garnett, Bounded Analytic Functions. New York: Academic Press, 1981.
12. K. M. Dyakonov, "Equivalent norms on Lipschitz-type spaces of holomorphic functions," Acta Math., vol. 178, pp. 143-167, 1997.
13. H. Boche and V. Pohl, "Characterization of holomorphic functions in terms of their moduli," Complex Var. Theory Appl., vol. 50, no. 13, pp. 1025-1029, Oct. 2005.
14. V. V. Peller, "Factorization and Approximation problems for Matrix Functions," J. Amer. Math. Soc., vol. 11, no. 4, pp. 751-770, Oct. 1998.
15. M. Weiss, "Spectral and Inner-Outer Factorizations Through the Constrained Ricati Equation," IEEE Trans. Automat. Contr., vol. 39, no. 6, pp. 677-681, Mar. 1994.
16. A. H. Sayed and T. Kailath, "A Survey of Spectral Factorization Methods," Numer. Linear Algebra Appl., vol. 8, pp. 467-496, 2001.
17. H. Boche and V. Pohl, "Spectral Factorization, Whitening- and Estimation Filter - Stability, Smoothness Properties and FIR Approximation Behavior," in Proc. IEEE Intern. Symposium on Inform. Theory (ISIT), Adelaide, Australia, Sept. 2005, pp. 1701-1705.