Hi, and nice to to see you dropping in Brian.
Please consider the case of a portable so-called international radio with a broken dipole and/or (a working) jack for an external antenna....
Basically, my question regards the very common "novice" experience of being confronted with a simple battery operated portable radio (a receiver) in which no antenna or transmission line initially exists. There is the common quick fix of "sticking a random stretch of common insulated wire where the antenna should go". In this case, we make no assumption that the antenna or transmission line are matched. The working environment is a typical European garden "collective" situated adjacent to a farm in an essentially flat landscape. Some gardeners with no understanding of electronics sometimes wish to listen to medium or even long wave radio. So of course, their natural inclination is to stick a wire onto the (often broken) dipole or the external antenna connector, which typically yields less than professional results. I plan to improve this situation, starting with antennas of sane length for frequency desired (albeit undecided regarding long wave).
:)
I investigated this problem, looking at the Carr book for instance, and realized that these sources assume readers will use a co-ax cable, in which case impedence is typically specified, as you point out.
And so, I began asking questions of how to pursue this when specs are not known, and neither line nor antenna impedence are likely to conform to the load ratings for the receiver. This is now an intellectual question (I could just buy the correct things). I have an oscilloscope and could probably come up with some tricks, but don't otherwise know a simple test for impedence more than maybe trial and error tuning. The dedicated test devices I have seen are sophisticated and quite specialized (presumably expensive).
Dominic