Novel wide band digital differentiators and integrators using different optimization techniques

Al-Alaoui, Mohamad Adnan; Baydoun, Mohamad

doi:10.1109/isscs.2013.6651225

Cited by 36 publications

(43 citation statements)

References 11 publications

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“…Best values of the optimal coefficients obtained for the proposed integrators and those reported by other algorithms in the literature have been tabulated in the Table II. Integrators proposed in this paper have been designed for the entire range of normalized Nyquist frequency, thus they are wideband integrators. A comparison based on total magnitude error and total phase error of different integrators reported here has been done in Table III TPZ [4] PSO [17] GA [18] SA [18] FP [18] MPZCO [20] 0.0887 for 2nd, 3rd and 4th orders, respectively, which are significantly less than that for other integrators reported in literature. This leads us to a conclusion that the proposed integrators accurately approximates the ideal response over a much wider range of frequency than the other reported integrators.…”

Section: Simulation Resultsmentioning

confidence: 78%

Optimal design of wideband digital integrators using gravitational search algorithm

Kumar

Rawat

Singh

et al. 2015

International Conference on Computing, Communication &Amp; Automation

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In this paper a new heuristic algorithm called Gravitational Search Algorithm (GSA), is employed for the optimization of the filter coefficients of infinite impulse response (IIR) integrator design problem. GSA is a population based algorithm formulated on the principles of Newtonian gravity and law of motion. GSA employs the interaction of masses in an isolated system directed by law of Newtonian gravity and motion. The efficiency of GSA lies in the fact that it presents a suitable transition between exploration and exploitation stage and has a very quick convergence rate. The simulation results have been compared to the well accepted conventional integrator design techniques such as segment rule and trapezoidal (TPZ) methods, and evolutionary optimization techniques like genetic algorithm (GA), simulated annealing (SA), pole zero placement (PZ), particle swarm optimization (PSO), fletcher Powell (FP) and minimax, pole, zero and constant optimization (MPZCO) methods. The results unleash the potential of GSA in obtaining improved magnitude error and comparable or improved phase error.

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Section: Simulation Resultsmentioning

confidence: 78%

Optimal design of wideband digital integrators using gravitational search algorithm

Kumar

Rawat

Singh

et al. 2015

International Conference on Computing, Communication &Amp; Automation

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“…MAME for SA, GA, and Fletcher‐Powell algorithm based DIs of order 2 are reported as −2.6, −1.0, and −4.1 dB, respectively, by Al‐Alaoui and Baydoun . Jain et al reported DI with MAME of −11.2 dB by using PZC and Minimax algorithm.…”

Section: Simulation Results and Discussionmentioning

confidence: 98%

“…Al‐Alaoui and Baydoun reported MAMEs of −10.2, 0.6, and −10.0 dB for DIs of order 3 by using SA, GA, and Fletcher‐Powell algorithm, respectively. Jain et al reported the design of third‐order DI with MAME of −18.2 dB by using PZC and Minimax algorithm, whereas MPSO‐based DI with MAME of −21.3 dB was reported by Gupta et al The proposed HS‐based DI of order 3 achieves MAME of −31.7 dB.…”

Section: Simulation Results and Discussionmentioning

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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“…The prevalent approaches to design digital differentiator are based on different interpolation and system approximation based techniques [8][9][10][11][12][13][14][15] and optimization based techniques [16][17][18][19][20][21]. The design of digital differentiator based on system approximation is a four-step process.…”

Section: Introductionmentioning

confidence: 99%

Efficient Design of Digital FIR Differentiator using $L_1$-Method

Aggarwal¹,

Rawat²,

Upadhyay³

et al. 2016

RADIOENGINEERING

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Novel wide band digital differentiators and integrators using different optimization techniques

Cited by 36 publications

References 11 publications

Optimal design of wideband digital integrators using gravitational search algorithm

Optimal design of wideband digital integrators using gravitational search algorithm

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

Efficient Design of Digital FIR Differentiator using $L_1$-Method

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