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The backfire helix antenna is quite easy to build, cost near nothing and definitively solve this position error problem.

Various helix antennas can be found, i used this one as a guide :

Most GPS provides power through the antenna connector, in this case i had to add a 18pF capacitor for DC blocking purposes and avoid a short circuit with the new antenna.

A classic ceramic capacitor can be mounted on top antenna. Value is not critical, just select one from 10pF to 47pF.

I also did the same modification with a M8N module that has a built in magnetometer.



Another example using a SMA connector, the DC blocking capacitor is soldered between the antenna pin and SMA connector, close to the GPS module on other pcb side.



Neo6 with helix