Wave-based Analysis and Impedance Matching for Ladder Networks

Abstract

This paper investigates wave-based analysis and impedance matching for the ladder electric networks. The results are a generalized version of our previous work for the cascade connected damped mass-spring systems. We first clarify the class of the ladder networks which satisfies the three conditions for the propagation constants to be analyzed by the wave-based analysis. Secondly, for the class of the networks, we investigate the analyticity of the secondary constants and positive real property of the characteristic impedances. Properties of the impedance matching are also investigated. A numerical example for a mechanical system shows effectiveness of the impedance matching for vibration control.