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  Design of multirate filter banks by H1 optimization (1995) [12 citations — 8 self]

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by Tongwen Chen, Bruce Francis
IEEE Trans. Signal Processing
http://www.control.utoronto.ca/people/profs/francis/CheFra95.ps
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Abstract:

EDICS No. SP 2.4.3 A procedure is developed to design IIR synthesis filters in a multirate filter bank. The filters minimize the ` 2-induced norm of the error system between the multirate filter bank and a desired pure time-delay system. This criterion is reduced to one of H1 optimization, for which there is ready-made software. 1

Citations

179 Wavelets: Algorithms and Applications – Meyer - 1993
47 Signal Processing with Lapped Transforms, Artech House – Malvar - 1992
20 Perfect reconstruction filter banks with rational sampling factors – Kovačević, Vetterli - 1993
20 Linear periodic systems and multirate filter design – Shenoy, Burnside, et al. - 1994
17 Near-perfect-reconstruction pseudo-QMF banks – Nguyen - 1994
12 Nonuniform filter banks: A reconstruction and design theory – Nayebi, Barnwell, et al. - 1993
12 On bounded bilinear forms – Nehari - 1957
9 Low delay fir filter banks: Design and evaluation – Nayebi, Barnwell, et al. - 1994
8 Analysis of multirate components and application to multirate filter design – Shenoy - 1994
5 A spectral factorization approach to pseudo-QMF design – Koilpillai, Vaidyanathan - 1993
4 A Generalized Parametric PR--QMF Design Technique Based on Bernstein Polynomial Approximation – Caglar, N - 1993
4 A course in H1 Control Theory, Springer-Verlag – Francis - 1987
4 On the design of FIR analysis-synthesis filter banks with high computational efficiency – Nayebi, Barnwell, et al. - 1994
3 The design of weighted minimax quadrature mirror filters – Lim, Yang, et al. - 1993
3 Input-output gains of linear periodic discretetime systems with application to multirate signal processing – Mirabbasi, Francis, et al. - 1995
1 H1 -optimal design of FIR QMF banks using convex optimization – Ratzlaff, Chen, et al. - 1995
1 List of Figures 1 Multirate filter bank. : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 1 2 Error system. : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 2 3 Example 1: jH 0 j (solid) and jH 1 j (da – Systems, Banks, et al. - 1993
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