An application of H/sub /spl infin// optimization to multirate digital signal processing

A procedure is developed to design IIR synthesis filters in a multirate filter bank. The filters minimize the l/sub 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 H/sub /spl infin// optimization, for which there is ready-made software.

[1]  Yong Ching Lim,et al.  The design of weighted minimax quadrature mirror filters , 1993, IEEE Trans. Signal Process..

[2]  Thomas W. Parks,et al.  Linear periodic systems and multirate filter design , 1994, IEEE Trans. Signal Process..

[3]  Truong Q. Nguyen.  Near-perfect-reconstruction pseudo-QMF banks , 1994, IEEE Trans. Signal Process..

[4]  Tongwen Chen,et al.  Design of multirate filter banks by /spl Hscr//sub /spl infin// optimization , 1995 .

[5]  Ali N. Akansu,et al.  A generalized parametric PR-QMF design technique based on Bernstein polynomial approximation , 1993, IEEE Trans. Signal Process..

[6]  Mark J. T. Smith,et al.  Low delay FIR filter banks: design and evaluation , 1994, IEEE Trans. Signal Process..

[7]  Mark J. T. Smith,et al.  On the design of FIR analysis-synthesis filter banks with high computational efficiency , 1994, IEEE Trans. Signal Process..

[8]  P. P. Vaidyanathan,et al.  A Spectral Factorization Approach to Pseudo-QMF Design , 1993, IEEE Trans. Signal Process..

[9]  Mark J. T. Smith,et al.  Nonuniform filter banks: a reconstruction and design theory , 1993, IEEE Trans. Signal Process..

[10]  Jelena Kovacevic,et al.  Perfect reconstruction filter banks with rational sampling factors , 1993, IEEE Trans. Signal Process..

[11]  R.G. Shenoy.  Analysis of multirate components and application to multirate filter design , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[12]  Z. Nehari.  On Bounded Bilinear Forms , 1957 .