Hybrid method for designing digital FIR filters based on fractional derivative constraints

Baderia, Kuldeep; Kumar, Anil; Singh, Girish Kumar

doi:10.1016/j.isatra.2015.05.015

Cited by 30 publications

(9 citation statements)

References 32 publications

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“…Evolutionary optimization algorithms are applied in different fields of engineering and technology . RGA is an evolutionary optimization technique that has been used in several fields of applications, including the filter design in recent years .…”

Section: Hs Algorithm and Statistical Analysis Testsmentioning

confidence: 99%

“…Evolutionary optimization algorithms are applied in different fields of engineering and technology. [33][34][35][36][37][38] RGA is an evolutionary optimization technique 39 that has been used in several fields of applications, including the filter design in recent years. 11,15,16,40 PSO is a benchmark evolutionary optimization algorithm based on swarm intelligence [41][42][43][44] and has been applied for the filter design and the system identification.…”

Section: Hs Algorithm and Statistical Analysis Testsmentioning

confidence: 99%

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Optimal design of wideband digital integrators and differentiators using harmony search algorithm

Mahata

Saha

Kar

et al. 2016

Int J Numerical Modelling

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This paper presents an efficient approach to design stable, wideband, and infinite impulse response digital integrators (DIs) and digital differentiators (DDs) of first, second, third, and fourth order using an evolutionary optimization algorithm called harmony search (HS). In recent years, although wideband DIs and DDs have been designed using metaheuristic optimization techniques such as simulated annealing, genetic algorithm, and particle swarm optimization (PSO), these algorithms lead to sub‐optimal solutions because of stagnation and premature convergence. HS algorithm, however, promises an enhanced frequency response for DIs and DDs because of the better exploration and exploitation of the search space. Simulation results demonstrate the superiority of HS‐based designs as compared with three well‐known benchmark evolutionary optimization algorithms, namely real coded genetic algorithm (RGA), PSO, and differential evolution (DE) based designs by yielding the least values of different magnitude response error metrics. Parametric and non‐parametric statistical hypothesis tests are also conducted to compare the consistency in the performance of HS‐based DIs and DDs with those of the designs based on RGA, PSO, and DE. The proposed HS‐based designs also outperform those of the designs based on both classical and evolutionary optimization approaches reported in recent literature in terms of the maximum absolute magnitude error metric.

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Section: Hs Algorithm and Statistical Analysis Testsmentioning

confidence: 99%

Section: Hs Algorithm and Statistical Analysis Testsmentioning

confidence: 99%

Optimal design of wideband digital integrators and differentiators using harmony search algorithm

Mahata

Saha

Kar

et al. 2016

Int J Numerical Modelling

View full text Add to dashboard Cite

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“…Some studies have shown that 1 st , 2 nd -order differentials are quite different from original spectral curves, and it is easy to omit information and decrease model accuracy by traditional integer order differential [5]. Fractional differential is generally used as an extension for the concept of integer-order differential, which has been universally adopted in control systems, signal filtering, bioengineering, image processing and other engineering fields [6][7][8][9][10]. This is because there is a phenomenon that many systems in the real world are fractional, and the expression of integer differential models is not ideal enough.…”

Section: Introductionmentioning

confidence: 99%

Land surface temperature vs. Soil spectral reflectance fractional approach and fractional differential algorithm

Tian

Zhao

et al. 2019

THERM SCI

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Land surface temperature plays an important role in studying the radiation and energy exchanges between Earth's surface and atmosphere. There is little literature on the relationship between the land surface temperature and the soil spectral reflectance. This paper adopts the Grunwald-Letnikov fractional differential algorithm to reveal their relationship. The simulation results elucidate that a higher land surface temperature will result in a higher spectral reflectance. The variation characteristics of spectral reflectance curves with different land surface temperatures have basically a same trend. Fractional differential order is a good index for spectral change during the derivation process. An optimal fractional order is 6/5, which corresponds to the band of 1710 nm. As the increase of the fractional order, the number of bands increases, but when it reaches a threshold, an opposite trend is found. This study provides a new perspective for adequately excavating spectral data information, and it also can be used as a reference for precision agriculture.

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“…FD possesses the real time phenomena of memory effect of *For correspondence electrical circuits and chemical reaction, which helps in smooth tracking. Therefore, fractional derivative is extensively used by several researchers [12][13][14][15][16][17][18][19][20]. In [12][13][14][15], authors have proposed new methods for designing simple digital FIR filters, wideband fractional delay filters using fractional derivatives.…”

Section: Introductionmentioning

confidence: 99%

A new design method for FIR notch filter using Fractional Derivative and swarm intelligence

et al. 2019

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In this paper, a new design method for the finite impulse response (FIR) notch filters using fractional derivative (FD) and swarm intelligence technique is presented. The design problem is constructed as a minimization of the magnitude response error w.r.t. filter coefficients. To acquire high accuracy of notch filter, fractional derivative (FD) is evaluated, and the required solution is computed using the Lagrange multiplier method. The fidelity parameters like passband error, notch bandwidth, and maximum passband ripple vary nonlinearly with respect to FD values. Moreover, the tuning of appropriate FD value is computationally expensive. Therefore, modern heuristic methods, known as the constraint factor particle swarm optimization (CFI-PSO), which is inspired by swarm intelligence, is exploited to search the best values of FDs and number of FD required for the optimal solution. After an exhaustive analysis, it is affirmed that the use of two FDs results in 21% reduction in passband error, while notch bandwidth is slightly increased by 2% only. Also, it has been observed that, in the proposed methodology, at the most 66 iterations are required for convergence to optimum solution. To examine the performance of designed notch filter using the proposed method, it has been applied for removal of power line interference from an electrocardiography (ECG) signal, and the improvement in performance is affirmed.

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Hybrid method for designing digital FIR filters based on fractional derivative constraints

Cited by 30 publications

References 32 publications

Optimal design of wideband digital integrators and differentiators using harmony search algorithm

Optimal design of wideband digital integrators and differentiators using harmony search algorithm

Land surface temperature vs. Soil spectral reflectance fractional approach and fractional differential algorithm

A new design method for FIR notch filter using Fractional Derivative and swarm intelligence

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