On robust signal reconstruction in noisy filter banks

Signal Processing

Volumn 85, Issue 1, 2005, Pages 1-14

  Vikalo, Haris ^b   Hassibi, Babak ^b   Erdogan, Alper T ^c   Kailath, Thomas ^a  

^a Stanford University   (United States)

^b California Institute of Technology   (United States)

^c KOÇ UNIVERSITY   (Turkey)

Author keywords

H design; Noisy filter banks; Robust signal reconstruction

Indexed keywords

ELECTROMAGNETIC WAVE ATTENUATION; FIR FILTERS; OPTIMIZATION; ROBUSTNESS (CONTROL SYSTEMS); SIGNAL FILTERING AND PREDICTION; SIGNAL PROCESSING; SIGNAL RECONSTRUCTION;

NOISY FILTER BANKS; QUANTIZATION; ROBUST SIGNAL RECONSTRUCTION; SYNTHESIS FILTERS;

SPURIOUS SIGNAL NOISE;

EID: 9944222424     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2004.08.011     Document Type: Article

References (26)

1. R.N. Banavar, A.A. Kalele, A mixed norm performance measure for the design of multirate filterbanks, IEEE Trans. Signal Process. 49 (2) (February 2001).
2. S. Boyd, L. El Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM Studies in Applied Mathematics, SIAM, Philadelphia, PA, 1994.
3. T. Chen, B.A. Francis, Design of multirate filter banks by H∞ optimization, IEEE Trans. Signal Process. 43 (12) (December 1995).
4. B.-S. Chen, C.-W. Lin, Y.-L. Chen, Optimal signal reconstruction in noisy filter banks: multirate Kalman filtering approach, IEEE Trans. Signal Process. 43 (11) (November 1995).
5. 2/H∞ filtering design in multirate transmultiplexor systems: LMI approach, IEEE Trans. Signal Process. 49 (11) (November 2001) 2693-2701.
6. Y.-M. Cheng, B.-S. Chen, Nonuniform filter bank design with noise, IEEE Trans. Signal Process. 46 (9) (September 1998).
7. Y.-M. Cheng, B.-S. Chen, L.-M. Chen, Minimax deconvolution design of multirate systems with channel noises: a unified approach, IEEE Trans. Signal Process. 47 (11) (November 1999) 3145-3149.
8. M. Green, D.J.N. Limebeer, Linear Robust Control, Prentice-Hall, Englewood Cliffs, NJ, 1995.
9. R.A. Haddad, N. Uzun, Modeling, analysis and compensation of quantization effects in M-band subband codecs, in: Proceedings of the ICASSP '93, 1993, pp. III-173-176.
10. A.T. Erdogan, B. Hassibi, T. Kailath, On Linear H∞ equalization of communication channels, IEEE Trans. Signal Process. 48 (11) (November 2000) 3227-3231.
11. B. Hassibi, T. Kailath, On optimal solutions to two-block H∞ problems, IEEE Transaction on Automatic Control, 1998, submitted for publication.
12. ∞ Theories, SIAM, Philadelphia, 1999.
13. 2/H∞ -optimal control via finite dimensional Q-parametrization and linear matrix inequalities, in: Proceedings of the ACC, Philadelphia, PA, June 1998.
14. 2/H∞ filtering, in: Proceedings of the IEEE Conference on Decision and Control, Tucson, AZ, December 1992, pp. 2299-3004.
15. A.S. Mehr, T. Chen, Design of nonuniform multirate filter banks by semidefinite programming, IEEE Trans. Circuits Systems-II 47 (11) (November 2000).
16. Z. Nehari, On bounded bilinear forms, Ann. Math. 15 (1957) 153-162.
17. U. Shaked, Y. Theodor, H∞-optimal estimation: a tutorial, in: Proceedings of the IEEE Conference on Decision and Control, Tucson, AZ, 1992, pp. 2278-2286.
18. R.E. Skelton, T. Iwasaki, K.M. Grigoriadis, A Unified Algebraic Approach to Linear Control Design, Taylor & Francis, London, Bristol, PA, 1997.
19. G. Strang, T. Nguyen, Wavelets and Filter Banks, Wellesley-Cambridge Press, Wellesley, MA, 1997.
20. 2/ H∞ problems via convex optimization, IEEE Trans. Automat Control 39 (3) (1944) 2511-2517.
21. P.P. Vaidyanathan, On coefficient-quantization and computational roundoff effects in lossless multirate filter banks, IEEE Trans. Signal Process. 39 (4) (April 1991) 1006-1008.
22. P.P. Vaidyanathan, Multirate Systems and Filter Banks, Prentice-Hall, Englewood Cliffs, NJ, 1993.
23. M. Vetterli, J. Kovacevic, Wavelets and Subband Coding, Prentice-Hall, Englewood Cliffs, NJ, 1995.
24. S.-P. Wu, S. Boyd, SDPSOL: A Parser/Solver for Semidefinite Programming and Determinant Maximization Problems with Matrix Structure. User's Guide, Beta Version, Stanford University, 1996.
25. 2 and H∞ performance objectives I and II, IEEE Trans. Automat. Control 39(8) (1994) 1564-1587.
26. K. Zhou, J.C. Doyle, K. Glover, Robust and Optimal Control, Prentice-Hall, Englewood Cliffs, NJ, 1996.