A new concept of phase-compensated continuous-time Chebyshev filters

One of the important problems of signal processing is to design a continuous-time filter that provides both a constant delay over the desired frequency band and a selective magnitude response, and at the same time ensures the transient of the designed filter as short as possible. This paper presents the theoretical concept of time-varying Chebyshev filters with compensated group delay response. Using the compensated Chebyshev type I filter, we introduce time-varying parameters to its structure for the purpose of the minimization of the transient that was lengthened due to the group delay compensation. Results verifying the effectiveness of the proposed approach are presented and compared to the traditional filters.