Exact analysis of inhomogeneous ladder networks having a tridiagonal interaction matrix
- 1 January 1981
- journal article
- Published by Wiley in International Journal of Circuit Theory and Applications
- Vol. 9 (1) , 33-39
- https://doi.org/10.1002/cta.4490090104
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 4N to 6N. 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.Keywords
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