Synthesis of In-Line Fully Canonical Filters by Solving a Matrix Completion Problem Under AW Ladder Constraints

Abstract

This work extends a matrix-based numerical methodology to cover fully canonical generalized Chevyshev (GC) transfer functions by reconfiguring canonical filter topologies into dangling inline structures, with a direct impact on the consideration of ladder circuit filters. The transformation matrix that maps a canonical matrix to the dangling inline is defined in such a way that, within a mathematical matrix completion framework, it can nullify the source-load coupling, modify the source and load reactances to accommodate the phase at the first and last extracted-pole sections of the network, and capture the response information in a different size matrix.