Broadband antenna design, 500MHz - 3GHz need info
I find "Log Periodic Antenna Design Handbook" Carl E Smith 1966 to be particularly helpful.
A LPD operating from 500 Mhz to 3 GHz souldn't be too hard in FR4. I would expect the base to be a little more than a foot wide and depending on the gain you wand it would be a couple of feet long. A feed of 0.141 semi rigid coax would probably be a good starting point. I have not seen "the one on eBAY".
http://cgi.ebay.com/900-2600-MHz-PCB...742.m153.l1262
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I saw the antennas you referenced on eBAY. If you want to design one use the reference material above.
I would not use their feed with a connector at the apex of the LPD. That has to corrupt the pattern. I don't know your application and this may be just fine.
Or you could just purchase a PCB and go from there. Then good luck.