Fractance circuit design based on a method of constructing the rational approximation function in the form of factorization

Any order analog fractance circuit based on a method of constructing the rational approximation function in the form of factorization is designed. The circuit is made up of level-N passive RC parallel network that makes the circuit easy integration in which the size of N is equal to the order of rational function. Since the rational approximation function in the form of factorization consists of several first order damp elements and first derivative elements, it will greatly simplify the design process of fractance circuit. It shows that the designed fractance circuit based on a method of constructing the rational approximation function is reasonable through three kinds of different performance simulations.