A programmable circuit and emulation system is used to emulate the behavior of analog and mixed mode circuit. The emulation preserves circuit electrical behavior while operating at a lower frequency than an intended frequency of the original circuit. The emulation system comprises an emulation hardware that includes control circuit, function groups, on chip function generation circuit, on chip measurement circuit and on chip characterization circuit and all are connected through programmable interconnect. Each function group comprises of transistor arrays or programmable passive devices, each transistor array or programmable passive device is connected to others through local programmable interconnect. Each transistor array or programmable passive device can be programmed to match the behavior of a transistor or passive device in the circuit to be emulated.