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B.S.T.J. Briefs: Realizability Conditions for the Impendance Function ofthe Lossless Tapered Transmission line - A Critique

01 May 1967

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In a recent brief1 in the B.S.T.J., Zador presents, without proof, realizability conditions for the input impedance of the lossless tapered transmission line terminated in unit resistance. Upon a careful examination of the brief, it appears that the conditions are not accurate. The following analysis clarifies this point and, incidentally, provides alternatives to Zador's necessary conditions. Consider a nonuniform line (Fig. 1) with inductance per unit length £(x) and capacitance per unit length G(x) such that (to follow Zador) £(x)Q(x) = 1.