✦ LIBER ✦
Exact analysis of inhomogeneous ladder networks having a tridiagonal interaction matrix
✍ Scribed by Stephen B. Haley
- Publisher
- John Wiley and Sons
- Year
- 1981
- Tongue
- English
- Weight
- 380 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0098-9886
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
A projection‐recurrence method is applied to active and passive ladder networks with a tridiagonal interaction matrix to obtain a factorization of the response functions. The factors are partial chain parameters, determined by third order recurrences. For a ladder with N nodes, the number of arithmetic operations to calculate response functions ranges from 4__N__ to 6__N__. A diagrammatic representation is developed for passive ladders which makes it possible to obtain the partial chain parameters by inspection, and a compact formula for the node‐voltage response is presented for active doubly‐terminated ladders.