An optimum approximation for the interchange of a second-order transfer function by a transfer function with decreased pole Q-factor

✍ Scribed by I. M. Filanovsky; K. A. Stromsmoe

• Publisher: John Wiley and Sons
• Year: 1979
• Tongue: English
• Weight: 628 KB
• Volume: 7
• Category: Article
• ISSN: 0098-9886
• DOI: 10.1002/cta.4490070306

✦ Synopsis

Abstract

This article presents a method for the interchange of a second‐order circuit with high Q‐factor poles by a more complicated network that consists of several low Q‐factor stages. The ratio of the substituting circuit transfer function to the given second‐order transfer function approximates unity with a minimum deviation over the whole jw‐axis. The method is applicable to all types of second‐order transfer functions with arbitrary zero locations. The approximation error decreases in a geometric progression with the number of low Q‐factor stages. A method for determining the poles and zeros of the approximating transfer function is described and examples of interchanging are given.