A study of an integrate-and-discharge model for parameter measurement with applied symbolic dynamics

An integrate-and-discharge model (IDM) is proposed based on an integrate-and-fire model (IFM). Compare to the IFM, the IDM can get rich dynamics including chaos, phase locking, etc., without using varying threshold modulation. The corresponding relation between output symbolic sequences and parameters (i.e., frequency, amplitude, resistance and capacity) of the IDM is established by applied symbolic dynamics. Moreover, a method of obtaining symbolic sequence as well as an ordering rule is presented. Simulation and circuit experiment have validated the method and the rule. The results of circuit experiment show that frequency resolution can reach up to 0.05Hz in some frequency ranges and amplitude resolution can reach up to 1uA.