Basics is all I know. More about mobile phones.
AESA has actually been around a long time, but first AESA radars were on ships - too big, heavy, power-hungry & expensive for aircraft. It's been in use in fighter radars since 2000, when the Japanese F-2 entered service & a few F-15C were fitted with the APG-63(v)2. Since then, the F-22 & F-16E (for the UAE) have entered service with AESA, & the APG-79 radar is currently in operational evaluation on the F-18E, & soon to enter service. That's 5 types in service or on the edge of it.
They're all bigger than the JF-17, but there are a few AESA radars under development, up to the point of having been flight-tested, which are suitable for the JF-17. As well as the aforementioned Vixen 500E, there's the Saab (formerly Ericsson) NORA for the Gripen, an aeroplane about the same size as JF-17.
http://products.saab.se/PDBWeb/ShowProduct.aspx?ProductId=1570
BTW, all fighter radars nowadays include computers, & won't work without them. Some current AESA developments are being offered as upgrades to existing radars - stick an AESA antenna on the front of your old radar, re-using the existing processor.
10-15 years is a long time. I agree that early production JF-17 won't be able to have an AESA, but I think it would be imprudent not to work towards introducing it on the production line in about 5 years, or as soon afterwards as possible.