Normalized Euclid Distance-Based Network Time-Domain Design Method and Its Application in Short-Pulse Differentiator

A time-domain design method for networks with an arbitrary time-domain response is proposed and applied to design a short-pulse differentiator. The proposed method is termed as WAM because it is actually a waveform approach method (WAM) based on the normalized Euclid distance (NED). The NED could naturally characterize the difference between the desired and actual time-domain signals, including their waveforms and amplitudes. The WAM enables the NED to approach zero by tuning the network parameter for the given network topology and thus the actual time-domain response approaches the desired time-domain response. Also, the WAM is utilized to design a short-pulse differentiator with both magnitude and phase responses. Both the theoretical and experimental results verify the feasibility and validity of the WAM.