Some Aspects of Dynamic Reduction of Transient Duration in Delay-Equalized Chebyshev Filters

One important problem of analog signal processing in measurement and data acquisition systems is designing a continuous-time filter that provides both a constant group delay over the filter passband and a selective magnitude response and, at the same time, ensures the transient to be as short as possible. In this paper, we propose a new theoretical method for dynamic shortening of transients in phase-compensated continuous-time filters. Using the compensated Chebyshev filter, we introduce time-varying parameters to its structure for the purpose of minimization of the transient that was lengthened due to compensation. This paper describes the methodology of the choice of optimal functions that vary the filter parameters, discusses the stability preservation of the designed filter, and presents a detailed block diagram of such a filter. Results verifying the effectiveness of the proposed method are presented and compared with traditional filters.