A new model for stability analysis in systems with pulse frequency modulators

A model is developed for the subclass of pulse frequency modulation known as neural pulse frequency modulation (NPFM). It contains one nonlinear element with hysteresis and produces an output waveform which is a train of constant amplitude and constant area pulses with exponentially decaying trailing edges. This type of output waveform is a better representation of neural signals than those produced by models previously reported. A further advantage of this model is that it satisfies a less restrictive condition of the generalized Popov theorem when it is used for the stability analysis of a class of closed-loop systems containing an NPF modulator.