Progress In Electromagnetics Research, PIER 21, 153–172, 1999 UNIQUENESS IN THE SIMULTANEOUS RECONSTRUCTION OF MULTIPARAMETERS OF A TRANSMISSION LINE D. Sheen Department of Mathematics Seoul National University Seoul 151-742, Korea D. Shepelsky Institute for Low Temperature Physics Kharkov 310164, Ukraine 1. Introduction 2. Basic Equations 3. Transformation of the Split Components 4. Uniqueness in the Parameter Reconstruction 5. Conclusion Appendix A. Inverse Scattering Problem for the Zakharov– Shabat System AppendixB.UniquenessintheCaseofHardBackReflection Acknowledgments References 1. INTRODUCTION Methods for reconstructing the physical parameters of a nonuniform transmission line from the transient response are of interest in many applicationssuchasdesignofnonuniformtransmissionlinefilters,anal- ysis of a signal channel between a transmitter and receiver, optimal design of impedance matching sections, impedance–matched voltage transformers, etc.