Continued fraction theory was applied to design the 1/2^n 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 1/2^n. The circuit structure was constructed by ordinary RC component, and simulated through multisim10. It was proved that the 1/2^norder 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.
