This is for people who want an easy to make right hand circular polarized antenna for GPS use. This should work pretty well and its likely to be considerably more broadband (for GLONASS, etc) than the ceramic version of it.
https://web.archive.org/web/20120322102621/http://home.iae.nl/users/plundahl/antenne/patchant.htmI would pass on the LNA design and use something a bit more modern if you want to add gain.
Note, you can also use 5 mm thick styrofoam board (foam board) (only) for the spacer which makes this antenna *really* easy to make with just a square of copper flashing (or even copper tape). Styrofoam has a dielectric constant of "1" just like air.
The ground plane's (back) size is completely irrelevant to the non-critical andtuning once it gets a bit larger than the top part and actually my recommendation is to make it circular - not square and substantially larger. The bigger the better. Ideal would be 200 mm diameter or more, depending on the stiffness of the material, you really don't want it moving in the wind.
Also take care that the shield is soldered to it well and that there isnt any play or any sharp bends in the center conductor. It should be as short as possible - 5 mm long and the ground should be connected to the pcb on both sides if bent or all sides of the hole if the coax is going straight back (recommended) For stationary use this antenna can be placed on top of a small tripod or run down a length of PVC pipe with the feedline going straight down.
Cover the patch part with an RF transparent material to keep rain and debris out.
I used a very thin hard plastic dome taken from a closet light I have as a cover.
If everything is smooth most birds won't land or sit there because there is nothing to hold on to..