An algebraic algorithm for the design and analysis of linear dynamical systems

✍ Scribed by M.L. Munjal; A.V. Sreenath; M.V. Narasimhan

• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 745 KB
• Volume: 26
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(73)80231-7

✦ Synopsis

In an earlier paper [1], it has been shown that velocity ratio, defined with reference to the analogous circuit, is a basic parameter in the complete analysis of a linear onedimensional dynamical system. In this paper it is shown that the terms constituting velocity ratio can be readily determined by means of an algebraic algorithm developed from a heuristic study of the process of transfer matrix multiplication. The algorithm permits the set of most significant terms at a particular frequency of interest to be identified from a knowledge of the relative magnitudes of the impedances of the constituent elements of a proposed configuration. This feature makes the algorithm a potential tool in a first approact{ to a rational design of a complex dynamical filter.

This algorithm is particularly suited for the desk analysis of a medium size system with lumped as well as distributed elements.