Simple derivation and proof of geometrical stability criteria for linear two‐ports

Abstract

This paper presents a simple derivation of the singleparameter geometrical stability criteria for linear two-ports. The derivation is directly based on the classical constraints familiar to most circuit designers with regard to stability circles and stable regions. A straightforward proof of the mutual implications of various geometrical stability criteria involving dual or single parameters is also provided in a concise manner.ABSTRACT: In this paper, an RF curve-fitting predistorter is proposed to extend the linearized dynamic range of a power amplifier. AM-AM and AM-PM distortion of the power amplifier can be compensated by accurately adjusting the gain and phase gradients of the three-reflection-type diode predistorter. The proposed predistorter extends the linearized dynamic range by more than six times that of a conventional predistorter.

Fundamental Implicit FDTD Schemes for Computational Electromagnetics and Educational Mobile Apps (Invited Review)

“…3(a) shows the snapshot on iPad for plane wave incident upon a double negative medium demonstrating negative refraction. The frequency-domain methods on mobile apps can also be extended for further research and applications beyond electromagnetics, such as optics (diffraction gratings, photonic crystals) [134][135][136], acoustics (phononic crystals, elastic, anisotropic and piezoelectric media) [137][138][139][140][141][142][143][144], circuits (geometrical [145][146][147][148], Rollett-based [149,150] and quasi-invariant stability [151][152][153], pole-zero [154][155][156], energy consideration [157][158][159]), etc. Apart from providing seamless interactive simulations and insightful visualizations, our educational mobile apps may be enhanced with artificial intelligence (AI) via innovative mobile intelligent tutoring systems (ITS).…”

Geometrical stability criteria for two-port networks in invariant immittance parameters representation

“…A simple derivation and proof of this geometrical stability criterion can be found in [7]. Although it has been written in terms of S parameters, there are times when its expressions in terms of other network parameters would find more convenience, e.g.…”

Comments on ‘Distance from unconditional stability boundary of a two‐port network’

“…This parameter can be extended for insightful stability analysis of three‐port networks [5] as alternative to [6]. In regard to the geometrical stability criteria (involving μ 1 or μ 2 ), the present author has also presented their simpler derivation, proof and immittance parameter representations in [7, 8].…”