Butterworth Passive Filter in the Fractional-Order

Soltana, A., A. G. Radwanb, and A. M. Solimand, "Butterworth Passive Filter in the Fractional-Order", International Conference on Microelectronics (ICM), Hammamet, 19-22 Dec, 2011.

Date Presented:

19-22 Dec


In this paper, the generalized analysis of the first Butterworth filter based on two passive elements is introduced in the fractional-order sense. The fractional-order condition of the Butterworth circuit is presented for the first time where it will lead us back to the known condition of the integer-order circuit when the two fractional-orders equal one. Therefore, the conventional behavior of the integer-order circuit is a narrow subset of the fractional-order ones. The circuit is studied under same and different order cases, and verified through their numerical simulations. Stability analysis is also introduced showing the poles location in the fractional-order versus integer order cases.