General synthesis method for negative group delay response: A filter base approach

A novel systematic synthesis method for negative group delay(NGD)filter is proposed in this paper. Transfer functions are obtain from synthesized characteristics polynomials. An optimum design condition is derived to reduce the number of resonators being equal to the highest degree of polynomial. Different synthesis examples are discussed with different orders and NGD responses. The exact agreement between the polynomial and coupling matrix based responses illustrate the proposed synthesis method. An experimental design prototype with three half wave length resonators is demonstrated. Prototype filter showed a good agreement between the measured and proposed synthesis method.