Synthesis of lossy coupling matrix for negative group delay filters

A novel systematic synthesis method for negative group delay(NGD)structure is proposed in this paper. Transfer functions are obtain from synthesised characteristics polynomials which provides higher design flexibility. 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.