An effective analog circuit design of approximate fractional-order derivative models of M-SBL fitting method

Köseoğlu, Murat; Deniz, Furkan Nur; Alagöz, Barış Baykant; Alisoy, H.Z.

doi:10.1016/j.jestch.2021.10.001

Cited by 16 publications

(11 citation statements)

References 43 publications

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“…The transfer functions of the previous section cannot be directly implemented, due to the non-integer power (α) that appears in both numerator and denominator. Conventional approximation methods, such as Oustaloup, Matsuda, or Continued Fraction Expansion are not suitable in the current problem, since these tools are able to approach the fractional-order Laplace operator s α [16][17][18][19][20]. Therefore, the following general methods will be considered: (a) curve fitting of the power-law function frequency response data, and (b) asymptotic of the power-law function using the Padé approximation tool.…”

Section: Approximation Of Power-law Filters' Functionsmentioning

confidence: 99%

Electronically Controlled Power-Law Filters Realizations

et al. 2022

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A generalized structure that is capable of implementing power-law filters derived from 1st and 2nd-order mother filter functions is presented in this work. This is achieved thanks to the employment of Operational Transconductance Amplifiers (OTAs) as active elements, because of the electronic tuning capability of their transconductance parameter. Appropriate design examples are provided and the performance of the introduced structure is evaluated through simulation results using the Cadence Integrated Circuits (IC) design suite and Metal Oxide Semiconductor (MOS) transistors models available from the Austria Mikro Systeme (AMS) 0.35 μm Complementary Metal Oxide Semiconductor (CMOS) process.

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Section: Approximation Of Power-law Filters' Functionsmentioning

confidence: 99%

Electronically Controlled Power-Law Filters Realizations

et al. 2022

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“…This approximation method was reported in [19,32], which is an improved version of the stability boundaries locus fitting approximation method [33]. According to [19], the method uses a set of logarithmically spaced frequency sampling points w k = [w l , w 2 , w 3 .…”

Section: Modified Stability Boundary Locus (Msbl) Fitting Approximationmentioning

confidence: 99%

Rational Approximations of Arbitrary Order: A Survey

et al. 2021

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This paper deals with the study and analysis of several rational approximations to approach the behavior of arbitrary-order differentiators and integrators in the frequency domain. From the Riemann–Liouville, Grünwald–Letnikov and Caputo basic definitions of arbitrary-order calculus until the reviewed approximation methods, each of them is coded in a Maple 18 environment and their behaviors are compared. For each approximation method, an application example is explained in detail. The advantages and disadvantages of each approximation method are discussed. Afterwards, two model order reduction methods are applied to each rational approximation and assist a posteriori during the synthesis process using analog electronic design or reconfigurable hardware. Examples for each reduction method are discussed, showing the drawbacks and benefits. To wrap up, this survey is very useful for beginners to get started quickly and learn arbitrary-order calculus and then to select and tune the best approximation method for a specific application in the frequency domain. Once the approximation method is selected and the rational transfer function is generated, the order can be reduced by applying a model order reduction method, with the target of facilitating the electronic synthesis.

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“…Extensive research on the applications of the fractional-order analog and chaotic systems for integrated circuits technologies was conducted in [11] and [12], respectively. Further recent applications for the fractional-order filters suitable for integrated circuits technologies were discussed in [13]- [14].…”

Section: Introductionmentioning

confidence: 99%

On the Design Flow of the Fractional-Order Analog Filters Between FPAA Implementation and Circuit Realization

et al. 2023

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This work explicitly states the design flows of the fractional-order analog filters that researchers throughout the literature have used. Two main flows are studied: the FPAA implementation and the circuit realization. Partial-fraction expansion representation is used to prepare the approximated fractional-order response for implementation on FPAA. The generalization of the second-order active RC analog filters based on opamp from the integer-order domain to the fractional-order domain is presented. The generalization is studied from both mathematical and circuit realization points of view. It is found that the great benefit of the fractional-order domain is that it adds more degrees of freedom to the filter design process. Simulation and experimental results match the expected theoretical analysis.

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An effective analog circuit design of approximate fractional-order derivative models of M-SBL fitting method

Cited by 16 publications

References 43 publications

Electronically Controlled Power-Law Filters Realizations

Electronically Controlled Power-Law Filters Realizations

Rational Approximations of Arbitrary Order: A Survey

On the Design Flow of the Fractional-Order Analog Filters Between FPAA Implementation and Circuit Realization

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