Application of Prony's Method to Time-Domain Reflectometer Data and Equivalent Circuit Synthesis.

摘要

The singularity expansion of time-domain reflectometer data has been computed and used to calculate lumped-element equivalent circuits for the impedance of some typical antennas. Prony's algorithm was used to obtain the poles of the antennas' terminal voltage waveform due to a step-like excitation. The residues, however, were calculated subject to the uniform error norm instead of the least squared error norm. Although it requires much longer to calculate, the uniform error norm approximation is often orders of magnitude better than the least squared error approximation. The physical realizability of impedance functions obtained from experimental data has been investigated. Also, the procedures necessary to synthesize the lumped-element network have been evaluated. A simple partial fraction expansion of a realizable impedance function representing an antenna was found to yield nonrealizable element values. A general network synthesis procedure, such as Brune's method, is required. (Author)