By Shav-Tal Y., Lapter S., Parameswaran R.

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Barker, G4JNH, “A Spreadsheet for Remote Antenna Impedance Measurement, ”QEX, Sept/Oct 2001, pp 3-11. 2R. D. Straw, N6BV, Editor, The ARRL Antenna Book , 17th edition, pp 27-28. 3S. R. Best, VE9SRB, “Wave Mechanics of transmission Lines Part 1: Equivalence of Wave Reflection Analysis and the Transmission Line Equation,” QEX Jan/Feb 2001 pp 3-8. 4The ARRL Antenna Book, 17th edition, Chap. 27, pp 23-26. 5W. N. Caron, “A Simple and Accurate Admittance Bridge,” Communications Quarterly, Summer 1992, pp 44-50.

In some cases, the difference was sufficient to lead to what I considered to be unacceptable discrepancies in the values of remote impedance measurements. These observations and the earlier unsuccessful attempts to determine line loss from the known impedances at both ends, which I mentioned in the previous article, lead me to conclude that there was a need to use measured rather than specified values for Z0 and to be able to handle Z0 values with a reactive component. 3 When I saw the transmission line equation as presented in his Eq 20, I realized that it was in a form that could be manipulated without the need to understand the mysteries of exponential and hyperbolic functions to provide a method for revealing complex Z0, loss and electrical length from two impedance measurements with known terminations.

Effectively, when resistance and reactance values are entered on to a Smith chart, the chart solves Eq 4. This is demonstrated in Fig 7 in which a reflection coefficient Argand diagram has been superimposed onto a Smith chart. Note that the chart is orientated with the resistance line horizontal which was the preference of its originator. 5 ohms Ω entered on the chart. 4, which corresponds to the Argand co-ordinates shown in Fig 7. Smith chart impedance transformations are actually conducted as reflection coefficient transformations and when the transformed impedance is read off, the chart effectively solves Eq 4 in its transposed form which is: Z Z0 1 ȡ 1 ȡ “Vol.

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