A modified low-pass filter with progressively diminishing ripples
Analog Integrated Circuits and Signal Processing
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
International Journal of Applied Mathematics and Computer Science
Studies on fractional order differentiators and integrators: A survey
Signal Processing
Stability and non-standard finite difference method of the generalized Chua's circuit
Computers & Mathematics with Applications
The fractional-order modeling and synchronization of electrically coupled neuron systems
Computers & Mathematics with Applications
Fractional zero-phase filtering based on the Riemann-Liouville integral
Signal Processing
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This work is aimed at generalizing the design of continuous-time filters in the non-integer-order (fractional-order) domain. In particular, we consider here the case where a filter is constructed using two fractional-order elements of different orders @a and @b. The design equations for the filter are generalized taking into consideration stability constraints. Also, the relations for the critical frequency points like maximum and minimum frequency points, the half power frequency and the right phase frequency are derived. The design technique presented here is related to a fractional order filter with dependent orders @a and @b related by a ratio k. Frequency transformations from the fractional low-pass filter to both fractional high-pass and band-pass filters are discussed. Finally, case studies of KHN active filter design examples are illustrated and supported with numerical and ADS simulations.