Design of 1/2~n Order Analog Fractance Approximation Circuit Based on Continued Fractions Decomposition
Jiliu Zhou · Journal of Sichuan University · 2012
Continued fraction theory was applied to design the 1/2n order analog fractance approximation circuit.Based on the fractional calculus theory,the network function of ideal fractance was derived.Continued fraction decomposition was applied to the network function of 1/2 order ideal fractance.The network function of the correponding analog fractance approximation circuit was obtained,and generalized to 1/2n.The circuit structure was constructed by ordinary RC component,and simulated through multisim10.It was proved that the 1/2n order analog fractance approximation circuit has good performance in both amplitude-frequency response and phase-frequency response,and it's approximation to ideal fractance is effective.