Unit Real Functions in Transmission Line Circuit Theory
- 1 September 1960
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IRE Transactions on Circuit Theory
- Vol. 7 (3) , 247-250
- https://doi.org/10.1109/tct.1960.1086672
Abstract
A new class of functions is introduced which has a direct physical significance in transmission line theory. These are called "unit real" (u. r.) and are derivable by bilinear transformations from positive real (p. r.) functions. The complex reflection coefficient is a unit real function of the "line vector"exp(-2j\theta), where\thetais the electrical length of a section of line in a resistor-transmission line circuit. Just as in lumped constant circuit theory the impedance is a p.r. function of the complex frequency. U.r. and p.r. functions are compared. A new proof and a discussion of Richards' theorem are also presented.Keywords
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