With a single antenna it's often easier to have a screen behind it and find a null, rathe than try and find the peak.
With four antennas and diode switching, you can use doppler principles - sequentially switch each antenna to an FM receiver and you get and audio tone at the "rotation" frequency. The phase of that relative to the switching phase tells you the direction of the transmitter.
An example design:
By the end of the year 2011 I started the development of the PA8W Doppler Radio Direction Finder. Wherever possible I used available knowledge found on the internet. I studied, filtered, adapted an…
radiodirectionfinding.wordpress.com
(If you have ever noticed that some police cars have a cluster of four identical antenna on the roof - that's a similar setup using the same basic concept, for locating stolen vehicles with "Lojack" style transmitters fitted to them).
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