Have no idea. The only thing I can say is that the missile diameter is 203mm so the radar diameter is less then 180 mm but it has GaN chips installed.
Normally based on the diameter and some assumptions, a reasonable guess can be established on the T/R count. However with the AAM-4B, I would speculate its targeted frequency is either in Ku or Ka band. There is practically no technical literature out there in packing density of T/R modules on such bands unlike with X band. As T/R packaging technology is limited by the 1/2 wavelength rule, such bands will likely introduce additional miniaturization hurdles not seen with X band.
Btw, what is your reference source that it uses GaN rather than GaAs? It seems less plausible to me given state of airborne AESA development.
The reason why JSDF adopted AESA radars for the AAM-4B is to counter ECM. Although OT JSDF had done live field test against GQM-163 Coyote hitting it 10 out of 10 in 2005.
Going to AESA radar on the AAM alone is not necessarily effective against the other side if it also has AESA radar to barrage jam the missile. The reason I suspect that AAM-4B is at least in KU band is because airborne AESA in X band cannot barrage jam something that is outside its frequency bandwidth. It makes perfect sense for an AAM to go up the frequency tree because it offers higher angular resolution and reduction in antenna size requirement by giving up tracking range as after all the engagement envelope is terminal phase.
Also back to the original subject concerning the Chinese AESA, given the diameter and choice of KU band, I believe it is most likely some kind of AESA radar research targeted for anti ship missile.