I'm referring to AESA seekers. AESAs allow double antenna compounding through array choreography. Even triple compounding is possible. As many as you want depending on the size of the array. Non-AESA designs can use independent antennas, but that's quite unrealistic for missile seekers, it's instead used on radars, like X band antennas with L band IFF.
It's a system that's been used by cellphone companies for decades.
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How else do you think cellphones allow both transmission and reception at the same time? You've been holding such an antenna every day in your own hands. It's what they call full duplex communication.
Older seekers were simplex, and now AESA seekers provide full duplex communication. Analog AESAs are half duplex, digital AESAs are full duplex.
Anyway, the Astra missile has a two-way datalink. Meteor also has a two-way link, but the Rafale's radar only allows transmission (there's an option to upgrade), so it's a problem with the radar. As per the French, a two-way link is not necessary because the Rafale's sensors can make up for it. The only realistic purpose of the link is to inform the fighter that the seeker has locked on. Since the flight time between the seeker locking on and impact is just 10 seconds, it has no real alternative uses. Typhoon and Gripen have the two-way link operational.