Performance of Vector Fitting Algorithm Applied to Bandpass and Baseband Systems

This article presents the performance evaluation of Vector Fitting Algorithm (VFA) from a system identification perspective. In this paper, VFA has been first applied to known baseband and bandpass systems such as Butterworth lowpass and bandpass filters to analyze the algorithm’s pole-residue extraction ability for band-limited noisy data. The poles identified by the algorithm for different bandwidths and noise powers are compared with the actual system poles of the baseband and bandpass systems. It is concluded that the algorithm is capable of identifying the actual system poles even if the capture bandwidth is less than the 3 dB bandwidth, which is a significant observation of this paper. It is also seen that the system identification performance with noisy data is better for baseband systems when compared to bandpass systems. Further, a practical investigation has been done to evaluate VFA performance for modeling a microstrip coupled line filter in the presence of noise.

[1]  I. Korn,et al.  Performance of a Biphase Bandpass Communication System , 1975, IEEE Trans. Commun..

[2]  Raj Mittra,et al.  A technique for extracting the poles and residues of a system directly from its transient response , 1975 .

[3]  B. Gustavsen,et al.  Modal Vector Fitting: A Tool For Generating Rational Models of High Accuracy With Arbitrary Terminal Conditions , 2008, IEEE Transactions on Advanced Packaging.

[4]  A. Semlyen,et al.  Fast and accurate switching transient calculations on transmission lines with ground return using recursive convolutions , 1975, IEEE Transactions on Power Apparatus and Systems.

[5]  A. Antoniou Digital Signal Processing: Signals, Systems, and Filters , 2005 .

[6]  William H. Tranter,et al.  Principles of Communication Systems Simulation with Wireless Applications , 2004 .

[7]  E. C. Levy Complex-curve fitting , 1959, IRE Transactions on Automatic Control.

[8]  Sung-Mo Kang,et al.  Scanning the issue - Interconnections - addressing the next challenge of IC technology (part II: design, characterization, and modeling) , 2001 .

[9]  J. Solomon,et al.  Macromodeling of integrated circuit operational amplifiers , 1974 .

[10]  J. A. Connelly,et al.  Macromodeling methodology for continuous and discrete time transfer functions , 1989, Proceedings of the 32nd Midwest Symposium on Circuits and Systems,.

[11]  Sung-Hwan Min,et al.  Automated Construction of Macromodels from Frequency Data for Simulation of Distributed Interconnect Networks , 2004 .

[12]  P. Triverio,et al.  A compression strategy for rational macromodeling of large interconnect structures , 2011, 2011 IEEE 20th Conference on Electrical Performance of Electronic Packaging and Systems.

[13]  M. Swaminathan,et al.  Construction of broadband passive macromodels from frequency data for simulation of distributed interconnect networks , 2004, IEEE Transactions on Electromagnetic Compatibility.

[14]  V. Senthil Kumar,et al.  Macromodeling of a dual polarized X band microstrip-T coupled patch antenna , 2016, 2016 IEEE Annual India Conference (INDICON).

[15]  Ping Zhao,et al.  Model-Based Vector-Fitting Method for Circuit Model Extraction of Coupled-Resonator Diplexers , 2016, IEEE Transactions on Microwave Theory and Techniques.

[16]  P. Khargonekar,et al.  A comparative applications study of frequency domain identification techniques , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[17]  José E. Schutt-Ainé,et al.  Difference model approach for the transient simulation of transmission lines , 1993, 1993 IEEE International Symposium on Circuits and Systems.

[18]  C. Sanathanan,et al.  Transfer function synthesis as a ratio of two complex polynomials , 1963 .

[19]  T. Kailath,et al.  An innovations approach to least-squares estimation--Part VII: Some applications of vector autoregressive-moving average models , 1973 .

[20]  Stefano Grivet-Talocia,et al.  Passive Macromodeling: Theory and Applications , 2015 .

[21]  A. Semlyen,et al.  Rational approximation of frequency domain responses by vector fitting , 1999 .

[22]  J.R. Brews,et al.  Transmission line models for lossy waveguide interconnections in VLSI , 1986, IEEE Transactions on Electron Devices.

[23]  Ayush Garg,et al.  Design of Parallel Coupled Line Band Pass Filter , 2016, 2016 Second International Conference on Computational Intelligence & Communication Technology (CICT).

[24]  R. Achar,et al.  Stability, Causality, and Passivity in Electrical Interconnect Models , 2007, IEEE Transactions on Advanced Packaging.