Frequency-Domain Bounds for the Multiconductor Telegrapher's Equation
Abstract
We establish mathematical bounds on the chain, ABCD and immittance matrices of a multiconductor transmission line, based on the Telegrapher’s equation. Closed-form expressions for those matrices are also presented. Existing results that hold on the imaginary axis are extended to the complex plane, without reliance on a diagonalizability assumption that is prevalent in the literature. Therefore, the results remain valid under arbitrary arrangements of the conducting wires, which include electrical faults. The analysis ultimately reveals important system-theoretic implications of the Telegrapher’s equation, which are of general relevance to control, power systems, and signal processing involving multiconductor transmission lines.
Fields of Study & Subjects
Electromagnetic Scattering and Analysis
Electromagnetic Simulation and Numerical Methods
Differential Equations and Numerical Methods
Publication details
- Journal / source
- IEEE Transactions on Circuits and Systems I Regular Papers
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Volume
- 73
- Issue
- 7
- Pages
- 4675–4685
- Publication date
- 3 March 2026
- Language
- EN