A biquadratic realization using a distributed-lumped-active RC network
Abstract
An analysis and a description was given of a distributed lumped active (DLA) RC network that approximately realizes a general BVTF (biquadratic voltage transfer function) and meets criteria of simplicity and practicality. This DLA network uses a single voltage controlled voltage source (VCVS) with gain between 0 and 2 as the active element, and two uniformly distributed RC (URC) lines with equal RC products and either a single resistor or capacitor as the passive elements. Since the VCVS is located at the output of this network, it can, therefore, be cascaded to realize higher order active filters. The voltage transfer function of this DLA network has, in general, an infinite number of poles and zeros. The approximation to a BVTF is made by locating the two poles and two zeros nearest to the origin of the s-plane at the desired BVTF pole and zero locations. The synthesis method derived for this network is based on numerically generated s-plane pole-zero design charts.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1974
- Bibcode:
- 1974PhDT........20J
- Keywords:
-
- Network Analysis;
- Rc Circuits;
- Transfer Functions;
- Voltage Regulators;
- Circuit Diagrams;
- Numerical Analysis;
- Electronics and Electrical Engineering