Network modelling with Brune's synthesis

Abstract

Abstract. Network modelling of general, lossy or lossless, one-port and symmetric two-port passive electromagnetic structures in systematic manner is presented. Rational function representation of the numerical data of Z-or Yparameters is obtained with the use of Vector Fitting procedure. A systematic strategy for obtaining equivalent lumped element circuit from the rational function, applying Brune's circuit synthesis, is also presented.

Chip-to-Chip and On-Chip Communications

“…Lumped element circuit models can provide a compact description of wireless transmission links [20][21][22]25]. Distributed circuits can be modeled also in a broad frequency band with arbitrary accuracy using lumped element network models.…”

On boundary analysis for derivative of driving point impedance functions and its circuit applications

“…Driving point impedance (DPI) functions are positive real functions (PRFs) which depend on the complex frequency parameter, s. A DPI function is physically realisable if it satisfies the properties of PRFs which are given below [1] The aim of this study is to perform a boundary analysis of the derivatives of PRFs. In electrical engineering, the derivatives of the DPI functions are mainly used in network synthesis [2][3][4], in control systems [5], signal processing [6,7] and microwave engineering [8,9].…”

“…The aim of this study is to perform a boundary analysis of the derivatives of PRFs. In electrical engineering, the derivatives of the DPI functions are mainly used in network synthesis [2–4], in control systems [5], signal processing [6, 7] and microwave engineering [8, 9].…”

Some results on the behaviour of transfer functions at the right half plane

“…Introduction. Positive real functions (PRF) have several application fields in electrical engineering [15,13,7,3,4,9,12,16]. In this study, PRFs will be considered in aspect of control systems theory.…”