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Rescaling Dipole Antenna

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Hi I want to make a ground plane antenna from http://www.yb2normal.com/antenna3.html for my 1.2 Ghz system. My question is how to re-scale the complete antenna, I mean, the RG-173 must to be rescaled? I suppose that because the rg-173 is a 50 ohm coax and for f-type conections often we use a 75 ohm coax. Do I need to re-scale the section of the copper ground wires? That means to use 4 mm2 copper wire, with a lot of weight.

Thanks a lot

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