Computer diagnosis and tuning of RF and microwave filters using model-based parameter estimation

This paper describes an efficient and robust approach for the computer diagnosis and tuning of RF and microwave filters relying upon model-based parameter estimation (MBPE) and multilevel optimization. The frequency sampled S-parameters are obtained from the measurement, and then an MBPE procedure based on adaptive sampling is employed to approximate the frequency-domain behavior of S-parameters in terms of rational functions. This approach uses a reduced-order system model. The effect of measurement noise is also considered. The approach is applied to coupled resonator filters that are modeled by a general equivalent circuit. The loss of each resonator is included in the model by a series resistor. A simple and efficient error function is used to reduce the computational effort of the optimization while improving the speed and robustness of diagnosis process for lossy filters. This approach can be applied to many classes of filters. The proposed approach is demonstrated through numerical examples and application to the manufactured filter.

[1]  S. Safavi-Naeini,et al.  Computer diagnosis and tuning of microwave filters using model-based parameter estimation and multi-level optimization , 2000, 2000 IEEE MTT-S International Microwave Symposium Digest (Cat. No.00CH37017).

[2]  K. Zaki,et al.  Synthesis of general topology multiple coupled resonator filters by optimization , 1998, 1998 IEEE MTT-S International Microwave Symposium Digest (Cat. No.98CH36192).

[3]  A. E. Atia,et al.  Tuning and measurements of couplings and resonant frequencies for cascaded resonators , 2000, 2000 IEEE MTT-S International Microwave Symposium Digest (Cat. No.00CH37017).

[4]  Dominique Baillargeat,et al.  Direct electromagnetic optimization of microwave filters , 2001 .

[5]  E. K. Miller,et al.  Using model-based parameter estimation to increase the physical interpretability and numerical efficiency of computational electromagnetics , 1991 .

[6]  Paul T. Boggs,et al.  Sequential Quadratic Programming , 1995, Acta Numerica.

[7]  J. Dunsmore Simplify filter tuning in the time domain , 1999 .

[8]  Heng-Tung Hsu,et al.  Design of coupled resonators group delay equalizers , 2001, 2001 IEEE MTT-S International Microwave Sympsoium Digest (Cat. No.01CH37157).

[9]  H. J. Orchard,et al.  The Laguerre method for finding the zeros of polynomials , 1989 .

[10]  John W. Bandler,et al.  Functional Approach to Microwave Postproduction Tuning , 1985 .

[11]  R. Cameron General coupling matrix synthesis methods for Chebyshev filtering functions , 1999 .

[12]  S. H. Chen,et al.  Electromagnetic optimization exploiting aggressive space mapping , 1995 .