Antenna's gain define type of antenna, height of installation in wave length and losses in ground under antenna. So for example 2 dipoles, which one of them for 10 Mc and length 15 meters, and other one is for 3 GHz and length 0.05 meters will have the same gain if the height of installation...
If you have a 1/4 wave antenna, this extension cable does not adding change that length. Cable is not an antenna.
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Alex,
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Use this antenna as broadband but in that case you should use an open line feed line 200 -300 OHm. Using this feed line the losses even with SWR=10-15 will be not to high vs the regular coax line feeder.
Alex,
alexantdesign.com