The problem of determining the terminal impedance values of a lossless nonuniform transmission line is addressed. The transmission line is assumed to have discontinuities at input and output with local reflection coefficients

and

, respectively. A set of formulas is given which allows

and

to be recovered once high-frequency data for

(

) is specified; the formulas extend the generality of earlier theory to the case where

or

may be either positive or negative. It is also shown that

) magnitude and phase information is necessary to uniquely determine

and

.