Impulse sensitivity function analysis of periodic circuits

This paper describes an efficient method to characterize the impulse sensitivity function (ISF) of a periodic circuit via periodic AC (PAC) analysis. The paper extends the application of ISF from oscillators to other periodic circuits including flip-flops, latches, clocked comparators, and regenerative amplifiers, in order to characterize their important characteristics such as set-up and hold times, regeneration gain, metastability probability, and sampling aperture/bandwidth. Recognizing that the generalized ISF is a subset of a time-varying impulse response, the ISF is efficiently computed based on periodic time-varying system analysis techniques. Compared to the previous ISF characterization method based on transient simulations, a speed-up of ~5times is achieved.