APPROXIMATION AND SYNTHESIS OF NON INTEGER ORDER SYSTEMS

This paper presents a new method to approximate and to synthesize fractional systems represented by an explicit transfer function. We first present the distribution of relaxation times function method to approximate this type of function and hopefully to make circuit designers more aware of these advantages when designing fractal system circuits and fractal filters. Computer simulations of the circuit model by B2SPICE were used to demonstrate clearly our derivation results. An analog circuit model of the foster network can be synthesized.