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. © 2011 IEEE.
Soltan A., Radwan A.G., Soliman A.M.
Butterworth; Different order; Integer order; Passive elements; Poles location; Stability analysis; Butterworth filters; IIR filters; Microelectronics
Proceedings of the International Conference on Microelectronics, ICM, Art. No. 6177365, Doi: 10.1109/ICM.2011.6177365