We propose the use of nonlinear least squares optimization to approximate the passband
ripple characteristics of traditional Chebyshev lowpass filters with fractional order steps in …

This paper presents three different optimization cases for normalized fractional order low-
pass filters (LPFs) with numerical, circuit and experimental results. A multi-objective …

In this paper, a new two-steps design strategy is introduced for the optimal rational
approximation of the fractional-order Butterworth filter. At first, the weighting factors of the …

Three fractional-order transfer functions are analyzed for differences in realizing (1+ α 1+ α)
order lowpass filters approximating a traditional Butterworth magnitude response. These …

In this paper we use a least-squares fitting routine to approximate the stopband ripple
characteristics of fractional-order inverse Chebyshev lowpass filters which have fractional …

An IMC-PID fractional order filter multi-loop controller design method based on two degrees
of freedom paradigm is proposed for Multiple Input-Multiple Output systems with time delays …

This paper presents the optimal modeling of Power Law Filters (PLFs) with the low-pass
(LP), high-pass (HP), band-pass (BP), and band-stop (BS) responses by means of rational …

Sound propagation in urban and indoor environments often involves diffraction at corners,
finite objects and openings, resulting in perceptually relevant frequency-dependent …

In this paper, six optimal fractional-order transfer functions (FOTF) to approximate the
magnitude characteristics of a fractional-order highpass Butterworth filter (FHBF) are …

This paper introduces a new technique to optimally design the fractional-order Butterworth
low-pass filter in the complex F-plane. Design stability is assured by incorporating the critical …