8 citations · 19 across the 7 of their papers we have counts for
7 papers
"On the engineers' new toolbox" or Analog Circuit Design, using Symbolic Analysis, Computer Algebra, and Elementary Network Transformations
Eberhard H. -A. Gerbracht
In this paper, by way of three examples - a fourth order low pass active RC filter, a rudimentary BJT amplifier, and an LC ladder - we show, how the algebraic capabilities of moder…
Eleven Unit Distance Embeddings of the Heawood Graph
Eberhard H. -A. Gerbracht
In this note we present eleven unit distance embeddings of the Heawood graph, i.e. the point-line incidence graph of the finite projective plane of order two, by way of pictures an…
Supernodal Analysis Revisited
Eberhard H. -A. Gerbracht
In this paper we show how to extend the known algorithm of nodal analysis in such a way that, in the case of circuits without nullors and controlled sources (but allowing for both,…
"E pluribus unum" or How to Derive Single-equation Descriptions for Output-quantities in Nonlinear Circuits using Differential Algebra
Eberhard H. -A. Gerbracht
In this paper we describe by a number of examples how to deduce one single characterizing higher order differential equation for output quantities of an analog circuit. In the line…
Letters from William Burnside to Robert Fricke: Automorphic Functions, and the Emergence of the Burnside Problem
Clemens Adelmann, Eberhard H. -A. Gerbracht
Two letters from William Burnside have recently been found in the Nachlass of Robert Fricke that contain instances of Burnside's Problem prior to its first publication. We present…
An Extension to an Algebraic Method for Linear Time-Invariant System and Network Theory: The full AC-Calculus
Eberhard H. -A. Gerbracht
Being inspired by phasor analysis in linear circuit theory, and its algebraic counterpart - the AC-(operational)-calculus for sinusoids developed by W. Marten and W. Mathis - we de…