Log in

Relevant bibliographies by topics / Fractional-order filter / Journal articles

To see the other types of publications on this topic, follow the link: Fractional-order filter.

Journal articles on the topic 'Fractional-order filter'

Author: Grafiati

Published: 4 June 2021

Last updated: 13 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Fractional-order filter.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Sengar, Kanchan, and Arun Kumar. "Fractional Order Capacitor in First-Order and Second-Order Filter." Micro and Nanosystems 12, no. 1 (January 21, 2020): 75–78. http://dx.doi.org/10.2174/1876402911666190821100400.

Full text

Abstract:

Background: Fractional order Butterworth and Chebyshev (low-pass filter circuits, highpass filter circuits and band-pass filters circuits) types of first and second order filter circuits have been simulated and their transfer function are derived. The effect of change of the fractional order α on the behavior of the circuits is investigated. Objective: This paper presents the use of fractional order capacitor in active filters. The expressions for the magnitude, phase, the quality factor, the right-phase frequencies, and the half power frequencies are derived and compared with their previous counterpart. Methods: The circuits have been simulated using Orcad as well as MATLAB for the different value of α. We have developed the fractional gain and phase equations for low pass filter circuits, high pass filter circuits and band pass filter circuits in Sallen-Key topology. Results: It is observed that the bandwidth increases significantly with fractional order other than unity for the low pass as well as high pass and band pass filters. Conclusion: We have also seen that in the frequency domain, the magnitude and phase plots in the stop band change nearly linearly with the fractional order. If we compare the fractional Butterworth filters for low-pass and high-pass type with conventional filters then we find that the roll-off rate is equal to the next higher order filter.

APA, Harvard, Vancouver, ISO, and other styles

2

Koksal, Mehmet Emir. "Fractional Order Butterworth Filter." International Journal of Advanced Engineering Research and Science 6, no. 12 (2018): 178–85. http://dx.doi.org/10.22161/ijaers.5.12.25.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Yu, Wan Neng, Su Wen Li, and Min Ying Zheng. "The Filtering Mechanism Modeling and Simulation of Passive Power Filter Based on Differentiator Circuit." Advanced Materials Research 430-432 (January 2012): 1593–96. http://dx.doi.org/10.4028/www.scientific.net/amr.430-432.1593.

Full text

Abstract:

Traditional continuous-time filters are of integer order which the power loss of passive power filter is general very much. However, using fractional calculus, filters may also be represented by the more general fractional-order differential equations. In this work, firstly, the passive elements were described with fractional-order differential equations depending on the introduction of fractional calculus application research. Secondly, the mathematical model of fractional-order filters was derived and discussed which includes high impedance at a certain frequency and low impedance at others, and the integer-order filters are only a tight subset of fractional-order filters that are testified. At last, the filter design idea to the fractional-order domain is developed and the better filter performance of the fractional-order passive power filter is validated by the mathematical model analysis and simulation results.

APA, Harvard, Vancouver, ISO, and other styles

4

Qiu, Xinyi, Hui Feng, and Bo Hu. "Fractional Order Graph Filters: Design and Implementation." Electronics 10, no. 4 (February 10, 2021): 437. http://dx.doi.org/10.3390/electronics10040437.

Full text

Abstract:

Existing graph filters, polynomial or rational, are mainly of integer order forms. However, there are some frequency responses which are not easily achieved by integer order approximation. It will substantially increase the flexibility of the filters if we relax the integer order to fractional ones. Motivated by fractional order models, we introduce the fractional order graph filters (FOGF), and propose to design the filter coefficients by genetic algorithm. In order to implement distributed computation on a graph, an FOGF can be approximated by the continued fraction expansion and transformed to an infinite impulse response graph filter.

APA, Harvard, Vancouver, ISO, and other styles

5

Verma, Rakesh, Neeta Pandey, and Rajeshwari Pandey. "Electronically Tunable Fractional Order Filter." Arabian Journal for Science and Engineering 42, no. 8 (April 5, 2017): 3409–22. http://dx.doi.org/10.1007/s13369-017-2500-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Freeborn, Todd, Brent Maundy, and Ahmed S. Elwakil. "Approximated Fractional Order Chebyshev Lowpass Filters." Mathematical Problems in Engineering 2015 (2015): 1–7. http://dx.doi.org/10.1155/2015/832468.

Full text

Abstract:

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 the stopband. MATLAB simulations of(1+α),(2+α), and(3+α)order lowpass filters with fractional steps fromα = 0.1 toα = 0.9 are given as examples. SPICE simulations of 1.2, 1.5, and 1.8 order lowpass filters using approximated fractional order capacitors in a Tow-Thomas biquad circuit validate the implementation of these filter circuits.

APA, Harvard, Vancouver, ISO, and other styles

7

RADWAN, A. G., A. S. ELWAKIL, and A. M. SOLIMAN. "ON THE GENERALIZATION OF SECOND-ORDER FILTERS TO THE FRACTIONAL-ORDER DOMAIN." Journal of Circuits, Systems and Computers 18, no. 02 (April 2009): 361–86. http://dx.doi.org/10.1142/s0218126609005125.

Full text

Abstract:

This work is aimed at generalizing the design of continuous-time second-order filters to the non-integer-order (fractional-order) domain. In particular, we consider here the case where a filter is constructed using two fractional-order capacitors both of the same order α. A fractional-order capacitor is one whose impedance is Zc = 1/C(jω)α, C is the capacitance and α (0 < α ≤ 1) is its order. We generalize the design equations for low-pass, high-pass, band-pass, all-pass and notch filters with stability constraints considered. Several practical active filter design examples are then illustrated supported with numerical and PSpice simulations. Further, we show for the first time experimental results using the fractional capacitive probe described in Ref. 1.

APA, Harvard, Vancouver, ISO, and other styles

8

Jakubowska-Ciszek, Agnieszka, and Anna Piwowar. "Comparison of unit-step responses of parametric filter and fractional-order filter." ITM Web of Conferences 28 (2019): 01026. http://dx.doi.org/10.1051/itmconf/20192801026.

Full text

Abstract:

The paper presents transmission models of a parametric filter with non-periodic variable parameters and a fractional-order filter. The responses of these filters on a unit-step excitation have been examined as well as the dependence of filters time constants on their parameters. The obtained results have been illustrated by examples.

APA, Harvard, Vancouver, ISO, and other styles

9

Dimeas, Ilias, Georgia Tsirimokou, Costas Psychalinos, and Ahmed S. Elwakil. "Experimental Verification of Fractional-Order Filters Using a Reconfigurable Fractional-Order Impedance Emulator." Journal of Circuits, Systems and Computers 26, no. 09 (April 24, 2017): 1750142. http://dx.doi.org/10.1142/s0218126617501420.

Full text

Abstract:

Fractional-order filter design examples, realized through the substitution of fractional-order capacitors and inductors by a re-configurable active emulator, are presented in this paper. The implementation of the emulator is achieved using Current Feedback Operational Amplifiers (CFOAs) as active elements with the required fractional-order differentiation/integration performed through the employment of an integer-order multi-feedback topology. An important benefit, from the design flexibility point of view, is that the same topology could be re-configured for emulating both fractional-order capacitors and inductors through the appropriate selection of the time-constants and gain factors. The behavior of the realized filters is experimentally evaluated using commercially available CFOAs.

APA, Harvard, Vancouver, ISO, and other styles

10

Zhou, Rui, Run-Fan Zhang, and Di-Yi Chen. "Fractional-order LβCαLow-Pass Filter Circuit." Journal of Electrical Engineering and Technology 10, no. 4 (July 1, 2015): 1597–609. http://dx.doi.org/10.5370/jeet.2015.10.4.1597.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Zarei, Jafar, and Mahmood Tabatabaei. "Fractional order unknown input filter design for fault detection of discrete fractional order linear systems." Transactions of the Institute of Measurement and Control 40, no. 16 (February 1, 2018): 4321–29. http://dx.doi.org/10.1177/0142331217746493.

Full text

Abstract:

In this study, a new method is introduced to design an estimator for discrete-time linear fractional order systems, which are affected by unknown disturbances. The main goal of this study is decoupling disturbance and uncertainties from the true states for discrete fractional order systems in noisy environment. The fractional Kalman filter framework is exploited to develop a robust estimator against unknown inputs (UIs) in noisy environment. The proposed filter is exploited to detect faults in fractional order systems. Simulation results illustrate the advantages of this robust filter for state estimation and fault detection of fractional order model of ultra-capacitor (UC). The robustness of the designed filter is shown in the sense of disturbance decoupling in the presence of noise.

APA, Harvard, Vancouver, ISO, and other styles

12

Ramezani, Abdolrahman, and Behrouz Safarinejadian. "A Modified Fractional-Order Unscented Kalman Filter for Nonlinear Fractional-Order Systems." Circuits, Systems, and Signal Processing 37, no. 9 (December 30, 2017): 3756–84. http://dx.doi.org/10.1007/s00034-017-0729-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Zhao, Yan Chun. "Design and Application of Digital Filter Based on Calculus Computing Concept." Applied Mechanics and Materials 513-517 (February 2014): 3151–55. http://dx.doi.org/10.4028/www.scientific.net/amm.513-517.3151.

Full text

Abstract:

Calculus has been widely applied in engineering fields. The development of Integer order calculus theory is more mature in the project which can obtain fractional calculus theory through the promotion of integration order. It extends the flexibility of calculation and achieves the engineering analysis of multi-degree of freedom. According to fractional calculus features and the characteristics of fractional calculus, this paper treats the frequency domain as the object of study and gives the fractional calculus definition of the frequency characteristics. It also designs the mathematical model of fractional calculus digital filters using Fourier transform and Laplace transform. At last, this paper stimulates and analyzes numerical filtering of fractional calculus digital filter circuit using matlab general numerical analysis software and FDATool filter toolbox provided by matlab. It obtains the one-dimensional and two-dimensional filter curves of fractional calculus method which achieves the fractional Calculus filter of complex digital filter.

APA, Harvard, Vancouver, ISO, and other styles

14

Karbasizadeh, Nima, Niranjan Saikumar, and S. Hassan HosseinNia. "Fractional-order single state reset element." Nonlinear Dynamics 104, no. 1 (March 2021): 413–27. http://dx.doi.org/10.1007/s11071-020-06138-9.

Full text

Abstract:

AbstractThis paper proposes a fractional-order reset element whose architecture allows for the suppression of nonlinear effects for a range of frequencies. Suppressing the nonlinear effects of a reset element for the desired frequency range while maintaining it for the rest is beneficial, especially when it is used in the framework of a “Constant in gain, Lead in phase” (CgLp) filter. CgLp is a newly introduced nonlinear filter, bound to circumvent the well-known linear control limitation—the waterbed effect. The ideal behaviour of such a filter in the frequency domain is unity gain while providing a phase lead for a broad range of frequencies. However, CgLp’s ideal behaviour is based on the describing function, which is a first-order approximation that neglects the effects of the higher-order harmonics in the output of the filter. Although CgLp is fundamentally a nonlinear filter, its nonlinearity is not required for all frequencies. Thus, it is shown in this paper that using the proposed reset element architecture, CgLp gets closer to its ideal behaviour for a range of frequencies, and its performance will be improved accordingly.

APA, Harvard, Vancouver, ISO, and other styles

15

FERDI, YOUCEF. "SOME APPLICATIONS OF FRACTIONAL ORDER CALCULUS TO DESIGN DIGITAL FILTERS FOR BIOMEDICAL SIGNAL PROCESSING." Journal of Mechanics in Medicine and Biology 12, no. 02 (April 2012): 1240008. http://dx.doi.org/10.1142/s0219519412400088.

Full text

Abstract:

The goal of this paper is to describe some applications of fractional order calculus to biomedical signal processing with emphasis on the ability of this mathematical tool to remove noise, enhance useful information, and generate fractal signals. Three types of digital filters are considered, namely, lowpass differentiation filter, smoothing filter, and 1/fβ-noise generation filter. The filter impulse responses are functions of the fractional order and the sampling period only, and thus can be computed easily. Application examples are presented for illustrations.

APA, Harvard, Vancouver, ISO, and other styles

16

Kubanek, David, Todd Freeborn, Jaroslav Koton, and Jan Dvorak. "Validation of Fractional-Order Lowpass Elliptic Responses of (1 + α)-Order Analog Filters." Applied Sciences 8, no. 12 (December 13, 2018): 2603. http://dx.doi.org/10.3390/app8122603.

Full text

Abstract:

In this paper, fractional-order transfer functions to approximate the passband and stopband ripple characteristics of a second-order elliptic lowpass filter are designed and validated. The necessary coefficients for these transfer functions are determined through the application of a least squares fitting process. These fittings are applied to symmetrical and asymmetrical frequency ranges to evaluate how the selected approximated frequency band impacts the determined coefficients using this process and the transfer function magnitude characteristics. MATLAB simulations of ( 1 + α ) order lowpass magnitude responses are given as examples with fractional steps from α = 0.1 to α = 0.9 and compared to the second-order elliptic response. Further, MATLAB simulations of the ( 1 + α ) = 1.25 and 1.75 using all sets of coefficients are given as examples to highlight their differences. Finally, the fractional-order filter responses were validated using both SPICE simulations and experimental results using two operational amplifier topologies realized with approximated fractional-order capacitors for ( 1 + α ) = 1.2 and 1.8 order filters.

APA, Harvard, Vancouver, ISO, and other styles

17

Soltan, A., A. G. Radwan, and Ahmed M. Soliman. "Fractional order filter with two fractional elements of dependant orders." Microelectronics Journal 43, no. 11 (November 2012): 818–27. http://dx.doi.org/10.1016/j.mejo.2012.06.009.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Koh, Bong Su, and John L. Junkins. "Kalman Filter for Linear Fractional Order Systems." Journal of Guidance, Control, and Dynamics 35, no. 6 (November 2012): 1816–27. http://dx.doi.org/10.2514/1.56170.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Tripathi, Ravi Pratap, Ashutosh Kumar Singh, and Pavan Gangwar. "Innovation-based fractional order adaptive Kalman filter." Journal of Electrical Engineering 71, no. 1 (February 1, 2020): 60–64. http://dx.doi.org/10.2478/jee-2020-0009.

Full text

Abstract:

AbstractKalman Filter (KF) is the most widely used estimator to estimate and track the states of target. It works well when noise parameters and system models are well defined in advance. Its performance degrades and starts diverging when noise parameters (mainly measurement noise) changes. In the open literature available researchers has used the concept of Fractional Order Kalman Filter (FOKF) to stabilize the KF. However in the practical application there is a variation in the measurement noise, which will leads to divergence and degradation in the FOKF approach. An Innovation Adaptive Estimation (IAE) based FOKF algorithm is presented in this paper. In order to check the stability of the proposed method, Lyapunov theory is used. Position tracking simulation has been performed for performance evaluation, which shows the better result and robustness.

APA, Harvard, Vancouver, ISO, and other styles

20

Sun, Xiaojun, and Guangming Yan. "Weighted Measurement Fusion Fractional Order Kalman Filter." Procedia Engineering 29 (2012): 207–15. http://dx.doi.org/10.1016/j.proeng.2011.12.696.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Mahata, Shibendu, Suman Kumar Saha, Rajib Kar, and Durbadal Mandal. "Approximation of fractional‐order low‐pass filter." IET Signal Processing 13, no. 1 (February 2019): 112–24. http://dx.doi.org/10.1049/iet-spr.2018.5128.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Verma, Rakesh, Neeta Pandey, and Rajeshwari Pandey. "Electronically Tunable Fractional Order All Pass Filter." IOP Conference Series: Materials Science and Engineering 225 (August 2017): 012229. http://dx.doi.org/10.1088/1757-899x/225/1/012229.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Abderrahim, Lanani, Meghriche Salama, and Djouambi Abdelbaki. "Novel design of a fractional wavelet and its application to image denoising." Bulletin of Electrical Engineering and Informatics 9, no. 1 (February 1, 2020): 129–40. http://dx.doi.org/10.11591/eei.v9i1.1548.

Full text

Abstract:

This paper proposes a new wavelet family based on fractional calculus. The Haar wavelet is extended to fractional order by a generalization of the associated conventional low-pass filter using the fractional delay operator Z-D. The high-pass fractional filter is then designed by a simple modulation of the low-pass filter. In contrast, the scaling and wavelet functions are constructed using the cascade Daubechies algorithm. The regularity and orthogonality of the obtained wavelet basis are ensured by a good choice of the fractional filter coefficients. An application example is presented to illustrate the effectiveness of the proposed method. Thanks to the flexibility of the fractional filters, the proposed approach provides better performance in term of image denoising.

APA, Harvard, Vancouver, ISO, and other styles

24

Baranowski, Jerzy, and Paweł Piątek. "Fractional Band-Pass Filters: Design, Implementation and Application to EEG Signal Processing." Journal of Circuits, Systems and Computers 26, no. 11 (March 21, 2017): 1750170. http://dx.doi.org/10.1142/s0218126617501705.

Full text

Abstract:

Fractional band-pass filters are a promising area in the signal processing. They are especially attractive as a method for processing of biomedical signals, such as EEG, where large signal distortion is undesired. We present two structures of fractional band-pass filters: one as an analog of classical second-order filter, and one arising from parallel connection of two fractional low-pass filters. We discuss a method for filter implementation — Laguerre Impulse Response Approximation (LIRA) — along with sufficient conditions for when the filter can be realized with it. We then discuss methods of filter tuning, in particular we present some analytical results along with optimization algorithm for numerical tuning. Filters are implemented and tested with EEG signals. We discuss the results highlighting the possible limitations and potential for development.

APA, Harvard, Vancouver, ISO, and other styles

25

Wang, Gang, Hexin Chen, Mianshu Chen, Qiang Zhao, and Yingjie Song. "Fractional-pel Interpolation Algorithm Based on Adaptive Filter." International Journal of Pattern Recognition and Artificial Intelligence 34, no. 08 (November 18, 2019): 2054022. http://dx.doi.org/10.1142/s0218001420540221.

Full text

Abstract:

In order to further improve fractional-pel interpolation image quality of video sequence with different resolutions and reduce algorithm complexity, the fractional-pel interpolation algorithm based on adaptive filter (AF_FIA) is proposed. This algorithm adaptively selects the interpolation filters with different orders according to the three video sequence regions with different resolutions; in the three video sequence regions with different resolutions, the high-order interpolation filter is replaced by low-order interpolation filter according to the correlation between pixels to realize the adaptive selection of filter. The complexity analysis results show that compared with other algorithms, this algorithm reduces space complexity and computation complexity, thus reducing the storage access and coding time. The simulation results indicate that compared with other algorithms, this algorithm has good coding performance and robustness for video sequences with different resolutions.

APA, Harvard, Vancouver, ISO, and other styles

26

Gao, Zhe. "Reduced order Kalman filter for a continuous-time fractional-order system using fractional-order average derivative." Applied Mathematics and Computation 338 (December 2018): 72–86. http://dx.doi.org/10.1016/j.amc.2018.06.006.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Kubanek, David, Todd Freeborn, and Jaroslav Koton. "Fractional-order band-pass filter design using fractional-characteristic specimen functions." Microelectronics Journal 86 (April 2019): 77–86. http://dx.doi.org/10.1016/j.mejo.2019.02.020.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Romanovas, Michailas, Lasse Klingbeil, Martin Traechtler, and Yiannos Manoli. "APPLICATION OF FRACTIONAL SENSOR FUSION ALGORITHMS FOR INERTIAL MEMS SENSING." Mathematical Modelling and Analysis 14, no. 2 (June 30, 2009): 199–209. http://dx.doi.org/10.3846/1392-6292.2009.14.199-209.

Full text

Abstract:

The work presents an extension of the conventional Kalman filtering concept for systems of fractional order (FOS). Modifications are introduced using the Grünwald‐Letnikov (GL) definition of the fractional derivative (FD) and corresponding truncation of the history length. Two versions of the fractional Kalman filter (FKF) are shown, where the FD is calculated directly or by augmenting the state vector with the estimate of the FD. The filters are compared to conventional integer order (IO) Position (P‐KF) and Position‐Velocity (PV‐KF) Kalman filters as well as to an adaptive Interacting Multiple‐Model Kalman Filter (IMM‐KF). The performance of the filters is assessed based on a hand and a head motion data set. The feasibility of the given approach is shown.

APA, Harvard, Vancouver, ISO, and other styles

29

Yang, Yafeng, and Donghong Zhao. "An adaptive model combining a total variation filter and a fractional-order filter for image restoration." Journal of Algorithms & Computational Technology 13 (January 2019): 174830181983305. http://dx.doi.org/10.1177/1748301819833054.

Full text

Abstract:

In this paper, we propose a model that combines a total variation filter with a fractional-order filter, which can unite the advantages of the two filters, and has a remarkable effect in the protection of image edges and texture details; simultaneously, the proposed model can eliminate the staircase effect. In addition, the model improves the PSNR compared with the total variation filter and the fractional-order filter when removing noise. Zhu and Chan presented the primal-dual hybrid gradient algorithm and proved that it is effective for the total variation filter. On the basis of their work, we employ the primal-dual hybrid gradient algorithm to solve the combined model in this article. The final experimental results show that the new model and algorithm are effective for image restoration.

APA, Harvard, Vancouver, ISO, and other styles

30

Langhammer, Lukas, Jan Dvorak, Jan Jerabek, Jaroslav Koton, and Roman Sotner. "Fractional-order low-pass filter with electronic tunability of its order and pole frequency." Journal of Electrical Engineering 69, no. 1 (January 1, 2018): 3–13. http://dx.doi.org/10.1515/jee-2018-0001.

Full text

Abstract:

Abstract This paper presents novel solution of a fractional-order low-pass filter (FLPF). The proposed filter operates in the current mode and it is designed using third-order inverse follow-the-leader feedback topology and operational transconductance amplifiers (OTAs), adjustable current amplifiers (ACAs), auxiliary multiple-output current follower (MO-CF) as simple active elements. The filter offers the beneficial ability of the electronic control of its order and also the pole frequency thanks to electronically controlled internal parameters of OTAs and ACAs. As an example, five particular values of fractional order of the FLPF were chosen and parameters of the filter were calculated. Similarly, also electronic control of the pole frequency of the filter was studied. The design correctness and proper function of the filter are supported by simulations with CMOS models and also by experimental laboratory measurements. Comparison of the simulation results of the proposed filter for two different approximations of the parameter sα is also included.

APA, Harvard, Vancouver, ISO, and other styles

31

Ali, A. Soltan, A. G. Radwan, and Ahmed M. Soliman. "Fractional Order Butterworth Filter: Active and Passive Realizations." IEEE Journal on Emerging and Selected Topics in Circuits and Systems 3, no. 3 (September 2013): 346–54. http://dx.doi.org/10.1109/jetcas.2013.2266753.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Soni, Ashu, Nivedita Sreejeth, Varun Saxena, and Maneesha Gupta. "Series Optimized Fractional Order Low Pass Butterworth Filter." Arabian Journal for Science and Engineering 45, no. 3 (November 14, 2019): 1733–47. http://dx.doi.org/10.1007/s13369-019-04225-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Chen, Xiaojiao, Zhe Gao, Ruicheng Ma, and Xiaomin Huang. "Hybrid extended-unscented Kalman filters for continuous-time nonlinear fractional-order systems involving process and measurement noises." Transactions of the Institute of Measurement and Control 42, no. 9 (January 2, 2020): 1618–31. http://dx.doi.org/10.1177/0142331219893788.

Full text

Abstract:

Hybrid extended-unscented Kalman filters (HEUKFs) for continuous-time nonlinear fractional-order systems with process and measurement noises are investigated in this paper. The Grünwald-Letnikov difference and the fractional-order average derivative (FOAD) method are adopted to discretize the investigated nonlinear fractional-order system, and the nonlinear functions in the system description are coped with the extended Kalman filter (EKF) and the unscented Kalman filter (UKF). The first-order Taylor expansion used in the EKF method is performed for the nonlinear function at the current time. Meanwhile, the unscented transformation used in the UKF is also concerned for the nonlinear function at the previous time. By using the HEUKF designed in this paper, the third-order approximations for the nonlinear function can be achieved to enhance the accuracy of state estimation and estimation error matrix. Finally, numerical examples are provided to illustrate the effectiveness of the proposed HEUKF for nonlinear fractional-order systems.

APA, Harvard, Vancouver, ISO, and other styles

34

Maâmar, Bettayeb, and Mansouri Rachid. "IMC-PID-fractional-order-filter controllers design for integer order systems." ISA Transactions 53, no. 5 (September 2014): 1620–28. http://dx.doi.org/10.1016/j.isatra.2014.05.007.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Ramezani, Abdolrahman, Behrouz Safarinejadian, and Jafar Zarei. "Fractional order chaotic cryptography in colored noise environment by using fractional order interpolatory cubature Kalman filter." Transactions of the Institute of Measurement and Control 41, no. 11 (February 4, 2019): 3206–22. http://dx.doi.org/10.1177/0142331218822721.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Kubanek, David, Jaroslav Koton, Jan Jerabek, and Darius Andriukaitis. "(N + α)-Order low-pass and high-pass filter transfer functions for non-cascade implementations approximating butterworth response." Fractional Calculus and Applied Analysis 24, no. 3 (June 1, 2021): 689–714. http://dx.doi.org/10.1515/fca-2021-0030.

Full text

Abstract:

Abstract The formula of the all-pole low-pass frequency filter transfer function of the fractional order (N + α) designated for implementation by non-cascade multiple-feedback analogue structures is presented. The aim is to determine the coefficients of this transfer function and its possible variants depending on the filter order and the distribution of the fractional-order terms in the transfer function. Optimization algorithm is used to approximate the target Butterworth low-pass magnitude response, whereas the approximation errors are evaluated. The interpolated equations for computing the transfer function coefficients are provided. An example of the transformation of the fractional-order low-pass to the high-pass filter is also presented. The results are verified by simulation of multiple-feedback filter with operational transconductance amplifiers and fractional-order element.

APA, Harvard, Vancouver, ISO, and other styles

37

Muresan, Cristina I., Isabela R. Birs, Eva H. Dulf, Dana Copot, and Liviu Miclea. "A Review of Recent Advances in Fractional-Order Sensing and Filtering Techniques." Sensors 21, no. 17 (September 2, 2021): 5920. http://dx.doi.org/10.3390/s21175920.

Full text

Abstract:

The present manuscript aims at raising awareness of the endless possibilities of fractional calculus applied not only to system identification and control engineering, but also into sensing and filtering domains. The creation of the fractance device has enabled the physical realization of a new array of sensors capable of gathering more information. The same fractional-order electronic component has led to the possibility of exploring analog filtering techniques from a practical perspective, enlarging the horizon to a wider frequency range, with increased robustness to component variation, stability and noise reduction. Furthermore, fractional-order digital filters have developed to provide an alternative solution to higher-order integer-order filters, with increased design flexibility and better performance. The present study is a comprehensive review of the latest advances in fractional-order sensors and filters, with a focus on design methodologies and their real-life applicability reported in the last decade. The potential enhancements brought by the use of fractional calculus have been exploited as well in sensing and filtering techniques. Several extensions of the classical sensing and filtering methods have been proposed to date. The basics of fractional-order filters are reviewed, with a focus on the popular fractional-order Kalman filter, as well as those related to sensing. A detailed presentation of fractional-order filters is included in applications such as data transmission and networking, electrical and chemical engineering, biomedicine and various industrial fields.

APA, Harvard, Vancouver, ISO, and other styles

38

Bell, Jeffery W. "Simple Kalman filter alternative: the multi‐fractional order estimator." IET Radar, Sonar & Navigation 7, no. 8 (October 2013): 827–35. http://dx.doi.org/10.1049/iet-rsn.2011.0373.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

SACU, I. E., and M. ALCI. "A Current Mode Design of Fractional Order Universal Filter." Advances in Electrical and Computer Engineering 19, no. 1 (2019): 71–78. http://dx.doi.org/10.4316/aece.2019.01010.

Full text

APA, Harvard, Vancouver, ISO, and other styles

40

Wensong, Jiang, Wang Zhongyu, and Lv Jing. "A fractional-order accumulative regularization filter for force reconstruction." Mechanical Systems and Signal Processing 101 (February 2018): 405–23. http://dx.doi.org/10.1016/j.ymssp.2017.09.001.

Full text

APA, Harvard, Vancouver, ISO, and other styles

41

Hong, Zheng, Jing Qian, Di-Yi Chen, and H. C. Iu Herbert. "Fractional-order L β C α filter circuit network." Chinese Physics B 24, no. 8 (August 2015): 080204. http://dx.doi.org/10.1088/1674-1056/24/8/080204.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Kaur, Gagandeep, A. Q. Ansari, and M. S. Hashmi. "Fractional order multifunction filter with 3 degrees of freedom." AEU - International Journal of Electronics and Communications 82 (December 2017): 127–35. http://dx.doi.org/10.1016/j.aeue.2017.08.010.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Dvorak, Jan, Lukas Langhammer, Jan Jerabek, Jaroslav Koton, Roman Sotner, and Josef Polak. "Synthesis and Analysis of Electronically Adjustable Fractional-Order Low-Pass Filter." Journal of Circuits, Systems and Computers 27, no. 02 (September 11, 2017): 1850032. http://dx.doi.org/10.1142/s0218126618500329.

Full text

Abstract:

A proposal of a fractional ([Formula: see text])-order low-pass filter is presented in this paper. The proposed filter operates in the current-mode and it is designed using Multi-Output Current Followers (MO-CFs), Dual-Output Current Follower (DO-CF), Dual-Output Adjustable Current Amplifier (DO-ACA) and Adjustable Current Amplifiers (ACAs) as active elements within the presented topology of the filter. The filter possesses ability to electronically control its order and also the pole frequency by changing the current gain of current amplifiers (ACAs) already present in the structure. Three different values of the order and pole frequency of the proposed low-pass filter were tested as an example. Design of the proposed filter is supported by simulation and experimental results. Simulations of the circuit are carried out in PSPICE simulator with behavioral models of used active elements. The experimental laboratory measurements are performed with the help of available devices forming equivalent circuits. Simulations and experimental results of the electronical control of the order and pole frequency are compared in this contribution.

APA, Harvard, Vancouver, ISO, and other styles

44

COMEDANG, TADA, and PATTNA INTANI. "A ± 0.2 V, 0.12 μW CCTA USING VTMOS AND AN APPLICATION FRACTIONAL-ORDER UNIVERSAL FILTER." Journal of Circuits, Systems and Computers 23, no. 09 (August 25, 2014): 1450126. http://dx.doi.org/10.1142/s0218126614501266.

Full text

Abstract:

In this paper, a variable threshold voltage metal oxide semiconductor (VTMOS) field effect transistor is used to improve an ultra-low voltage, ultra-low power current conveyor transconductance amplifier (CCTA). To achieve the desired result, an analytical subthreshold VTMOS model is used. Designs that utilize the TSMC 0.18 μm technology are verified using PSPICE simulation. The power consumption is simply 0.12 μW at a ± 0.2 V supply voltage. The proposed CCTA is synthesized using fractional-order (FO) universal filters that can simultaneously realise low pass (LP), high pass (HP) and bandpass (BP) responses with independent control of quality factor and pole frequency by transconductances (gm). Moreover, the circuit has low input and high output impedance which would be an ideal choice for cascading in current-mode circuit. The FO filters are constructed using two FO capacitors of orders α and β (0 < α, β ≤ 1). The FO filters provide improved performance in terms of pole frequency compared with conventional-order filters. The filter has a low power consumption of 0.71 μW at a ± 0.2 V supply voltage. The validity of the proposed filter is verified through PSPICE simulations.

APA, Harvard, Vancouver, ISO, and other styles

45

Ramkumar, Purigilla Venkata, and Munagala Surya Kalavathi. "Fractional Order PID Controlled Interleaved Boost converter Fed Shunt Active Filter System." International Journal of Power Electronics and Drive Systems (IJPEDS) 9, no. 1 (March 1, 2018): 126. http://dx.doi.org/10.11591/ijpeds.v9.i1.pp126-138.

Full text

Abstract:

Interleaved Boost Converter (ILBC) is a better converter between Photo Voltaic(PV) source and shunt active power filter. This paper deals with comparison of time domain outputs of PI and Fractional Order PID(FOPID) controlled ILBC fed shunt active filter in a grid connected PV system. The aim of this work is to minimize current ripple using ILBC between PV system and filter to improve the dynamic performance of shunt active filter. Closed loop monitored PI and FOPID systems are modeled, and the corresponding results are presented. MATLAB results of load voltage, current, converter voltage and currents with FOPID exhibits enhanced dynamic response. The proposed FOPID controlled ILBC Fed Shunt Active Filter system (ILBCFSAF) has advantages like low settling time, less peak over shoot and reduced steady state error in load voltage. The simulation results of ILBCSAF are compared with the corresponding hardware results.

APA, Harvard, Vancouver, ISO, and other styles

46

Zhao, Hui, Shengnan Li, Hongyu Yang, and Quan Zhou. "A stability controlling-based approach for designing 1-D variable fractional delay all-pass filters." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 37, no. 6 (November 5, 2018): 2224–31. http://dx.doi.org/10.1108/compel-01-2018-0053.

Full text

Abstract:

Purpose Variable fractional delay filtering is an important technology in signal processing; the research shows that all-pass variable fractional delay (VFD) filters achieve higher design accuracy than FIR VFD filters; therefore, the design, analysis and implementation of all-pass VFD filters are of great importance. Design/methodology/approach In this paper, a two-stage approach for the design of general 1-D stable VFD all-pass filters is proposed. The method takes the desired group delay range [N−1, N], where N is the filter order. Findings The design algorithm is decomposed into two design stages: first, a set of fixed delay all-pass filters are designed by minimizing a set of objective functions defined in terms of approximating error criterion and filter stability constraint. Then, the design result is determined by fitting each of the fixed delay all-pass filter coefficients as 1-D polynomials. A design example together with its comparisons with those of the recent literature studies is given to justify the effectiveness of the proposed design method. Originality/value An illustrating design example shows that the method proposed can achieve better filter performances than the existing ones.

APA, Harvard, Vancouver, ISO, and other styles

47

Zhang, Lu, Ke Deng, and Mao-Kang Luo. "Control of a fractional chaotic system based on a fractional-order resistor—capacitor filter." Chinese Physics B 21, no. 9 (September 2012): 090505. http://dx.doi.org/10.1088/1674-1056/21/9/090505.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Johansson, Hakan. "On FIR Filter Approximation of Fractional-Order Differentiators and Integrators." IEEE Journal on Emerging and Selected Topics in Circuits and Systems 3, no. 3 (September 2013): 404–15. http://dx.doi.org/10.1109/jetcas.2013.2273853.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Mahata, Shibendu, Rajib Kar, and Durbadal Mandal. "Direct digital fractional-order Butterworth filter design using constrained optimization." AEU - International Journal of Electronics and Communications 128 (January 2021): 153511. http://dx.doi.org/10.1016/j.aeue.2020.153511.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Mishra, Shalabh Kumar, Maneesha Gupta, and Dharmendra Kumar Upadhyay. "Active realization of fractional order Butterworth lowpass filter using DVCC." Journal of King Saud University - Engineering Sciences 32, no. 2 (February 2020): 158–65. http://dx.doi.org/10.1016/j.jksues.2018.11.005.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!