Design of nonuniform multirate filter banks by semidefinite programming

In this brief, the design of finite-impulse response (FIR) filter banks by semidefinite programming is discussed. The initial analysis filters are designed according to the characteristics of the input. By the design procedure, for the given set of analysis filters, synthesis filters are found so that the H/sub /spl infin// norm of the error system is minimized over all synthesis filters that have a prespecified order. Then, the synthesis filters obtained in the previous step are fixed and the analysis filters are found similarly. By iteration, the H/sub /spl infin// norm of the error system decreases until it converges to its final value.

[1]  P. Vaidyanathan,et al.  Non-uniform multirate filter banks: theory and design , 1989, IEEE International Symposium on Circuits and Systems,.

[2]  W.-S. Lu,et al.  Semidefinite programming: a versatile tool for analysis and design of digital filters , 1999, Engineering Solutions for the Next Millennium. 1999 IEEE Canadian Conference on Electrical and Computer Engineering (Cat. No.99TH8411).

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

[4]  P. Apkarian,et al.  LMI Techniqes in Control Engineering from Theory to Practice , 1996 .

[5]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

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

[7]  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.

[8]  Tongwen Chen,et al.  Nonuniform multirate filter banks: analysis and design with an 𝒽∞ performance measure , 1997, IEEE Trans. Signal Process..

[9]  Sanjit K. Mitra,et al.  Efficient IIR switched-capacitor decimators and interpolators , 1996, 1996 8th European Signal Processing Conference (EUSIPCO 1996).