Design of Multirate Filter Banks by H∞ Optimization

IEEE Transactions on Signal Processing

Volumn 43, Issue 12, 1995, Pages 2822-2830

  Chen, Tongwen ^a   Francis, Bruce A ^b  

^a UNIVERSITY OF CALGARY   (Canada)

^b UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; OPTIMIZATION; SIGNAL ENCODING; TRANSFER FUNCTIONS;

MULTIRATE FILTER BANKS;

DIGITAL FILTERS;

EID: 0029514715     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.476426     Document Type: Article

References (19)

1. H. Caglar and A. N. Akansu, “A generalized parametric PR-QMF design technique based on Bernstein polynomial approximation,” IEEE Trans. Signal Processing, vol. 41, pp. 2314-2321, 1993.
2. N. J. Fliege, Multirate Digital Signal Processing. Chichester, UK: Wiley, 1994.
3. B. A. Francis, “A course in H∞control theory,” in LectureNotes in Control and Information Sciences. Berlin, W. Germany: Springer-Verlag, 1987, vol. 88.
4. M. Green and D. J. N. Limebeer, Linear Robust Control. Englewood Cliffs, NJ: Prentice-Hall, 1995.
5. R. D. Koilpillat and P. P. Vaidyanathan, “A spectral factorization approach to pseudo-QMF design,” IEEE Trans. Signal Processing, vol. 41, pp. 82-92, 1993.
6. J. Kovacevic and M. Vetterli, “Perfect reconstruction filter banks with rational sampling factors,” IEEE Trans. Signal Processing, vol. 41, pp. 2047-2066, 1993.
7. Y. C. Lim, R. H. Yang, and S.-N. Koh, “The design of weighted minimax quadrature mirror filters,” IEEE Trans. Signal Processing, vol. 41, pp. 1780-1789, 1993.
8. H. S. Malvar, Signal Processing With Lapped Transforms. Boston, MA: Artech House, 1992.
9. Y. Meyer, Wavelets: Algorithms and Applications. Philadelphia: SIAM, 1993.
10. S. Mirabbasi, B. A. Francis, and T. Chen, “Input-output gains of linear periodic discrete-time systems with application to multirate signal processing,” Tech. Rep., Elect. Comput. Eng., Univ. of Toronto, 1995.
11. K. Nayebi, T. P. Barnwell, III, and M. J. T. Smith, “Nonuniform filter banks: A reconstruction and design theory,” IEEE Trans. Signal Processing, vol. 41, pp. 1114-1127, 1993.
12. K. Nayebi, T. P. Barnwell, III, and M. J. T. Smith, “Low delay FIR filter banks: Design and evaluation,” IEEE Trans. Signal Processing, vol. 42, pp. 24-31, 1994.
13. K. Nayebi, T. P. Barnwell, III, and M. J. T. Smith, “On the design of FIR analysis-synthesis filter banks with high computational efficiency,” IEEE Trans. Signal Processing, vol. 42, pp. 825-834, 1994.
14. Z. Nehari, “On bounded bilinear forms,” Ann. Math., vol. 15, pp. 153-162, 1957.
15. T. Q. Nguyen, “Near-perfect-reconstruction pseudo-QMF banks,” IEEE Trans. Signal Processing, vol. 42, pp. 65-76, 1994.
16. S. Ratzlaff, T. Chen, and S. A. Norman, ' ‘H∞-optimal design of FIR QMF banks using convex optimization,” Tech. Rep., Elect. Comput. Eng., Univ. of Calgary, 1995.
17. R. G. Shenoy, “Analysis of multirate components and application to multirate filter design,” in Proc. ICASSP, 1994, pp. III-121-III-124.
18. R. G. Shenoy, D. Burnside, and T. W. Parks, “Linear periodic systems and multirate filter design,” IEEE Trans. Signal Processing, vol. 42, pp. 2242-2256, 1994.
19. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1993.