This paper presents a 30Gb/s/link 2.2Tb/s/mm2 inductive-coupling link for a high-speed DRAM interface. The data rate per layout area is the highest among DRAM interfaces reported up to now [1-11]. The proposed interface employs a high-speed injection-locking CDR technique that utilizes the derivative property of inductive coupling. Compared to conventional injection-locking CDR based on an XOR edge detector, our technique doubles the operation speed and increases the data rate to 30Gb/s/link. As a result, the data rate per layout area is increased to 2.2Tb/s/mm2, which is 2X that of the state-of-the-art inductive-coupling link , and 22X that of the state-of-the-art wired link .