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

Aggarwal, Apoorva; Rawat, Tarun Kumar; Upadhyay, Dharmendra Kumar; Kumar, Manjeet

doi:10.13164/re.2016.0383

Cited by 17 publications

(7 citation statements)

References 22 publications

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“…Many analytical approaches to design DD and DI with some desired characteristics have been proposed and demonstrated in [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. The use of evolutionary and swarm intelligence algorithms to design and optimize the performance of DDs and DIs has been reported in [17][18][19][20][21][22][23][24][25][26]. For examples, the design of DD and DI is demonstrated using genetic algorithm (GA) in [17], simulated annealing (SA), GA, and modified Fletcher and Powell (FP) optimization in [18], particle swarm optimization (PSO) in [19].…”

Section: Introductionmentioning

confidence: 99%

Design and Optimization of Enhanced Magnitude and Phase Response IIR Full-Band Digital Differentiator and Integrator Using the Cuckoo Search Algorithm

Ababneh

Khodier

2022

IEEE Access

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Design of full-band infinite impulse response (IIR) digital differentiator (DD) and digital integrator (DI) based on the L k -norm and the min-max optimality criteria have been demonstrated in literature. However, the designed IIR DDs and DIs using these criteria do not have linear phase or have unsatisfactory magnitude response. In this paper, a novel approach to design, optimize and improve the magnitude response and the linearity of the phase response of IIR DD and DI using the cuckoo search (CS) optimization algorithm is proposed. The proposed approach is based on a varied L k -norm where k linearly increases with the number of the frequency samples between the values 1 and 2. The design and optimization of DDs and DIs are carried out using the CS optimization method due to its simplicity, efficiency, and robustness in solving general multidimensional optimization problems. The performance of the designed DDs and DIs using the proposed approach is compared with designs based on different criteria and algorithms available in literature. The comparison shows that the designed DDs and DIs based on the proposed approach have better phase responses and better or at least comparable magnitude responses compared to those of DDs and DIs designed using other methods in the literature.

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Section: Introductionmentioning

confidence: 99%

Design and Optimization of Enhanced Magnitude and Phase Response IIR Full-Band Digital Differentiator and Integrator Using the Cuckoo Search Algorithm

Ababneh

Khodier

2022

IEEE Access

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“…In recent year, the substantial research in the field of 1D system design using the

L_{1}

‐method and the

L_{1}

‐norm criterion has been cited in the literature [36–42]. Aggarwal et al .…”

Section: Introductionmentioning

confidence: 99%

“…The

L_{1}

‐method was applied for designing of the digital differentiator, filters and Hilbert transformer by Aggarwal et al . in 2015, 2016 [39–42] with the objective to optimise the filter coefficients such that the error is minimised.…”

Section: Introductionmentioning

confidence: 99%

Design of two‐dimensional FIR filters with quadrantally symmetric properties using the 2DL₁‐method

Aggarwal¹,

Kumar²,

Rawat

2019

IET signal process.

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The mathematical formulation of the two‐dimensional (2D) L1 ‐method for designing of the 2D‐finite impulse response (FIR) filter is introduced in this study. It features the 2D‐FIR filter with narrow transition width and flatter passband and stopband response. The 2D complexity is reduced using the quadrant symmetricity concept for the reduction of filter coefficients to be evaluated. Here, the unique features of the 2D L1 ‐method are exploited for the efficient design of the 2D‐FIR filter. To study the effectiveness of the 2D‐FIR filter using the proposed method, its performance is compared with other existing 2D‐FIR filter methods. Simulation results for five design example of 2D lowpass, highpass, bandpass, bandstop filters and 2D differentiator are presented to prove the efficacy of the proposed design in terms of passband ripple, stopband ripple, passband error, stopband error and magnitude response.

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“…Upadhyay, in [20], has used Pole-Zero Optimization to achieve integrators with relative error in magnitude response not exceeding 0.37 %. In [21], efficient design of FIR digital differentiator using the L 1optimality criterion is proposed.…”

Section: Introductionmentioning

confidence: 99%

Design of Second Order Recursive Digital Integrators with Matching Phase and Magnitude Response

Garg¹,

Upadhyay²

2017

RADIOENGINEERING

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Location of poles and zeroes greatly affect phase response and magnitude response of a system. Recently, pole-zero optimization emerged as an effective approach to approximately match magnitude response of a system with that of an ideal one. In this brief, a methodology for the design of linear phase integrators and ones with constant phase of −90 degree is proposed. The aim of this method is to simultaneously attain multiple objectives of magnitude and phase optimization. In this method, magnitude response error is minimized under the constraint that the maximum passband phase-response error is below a prescribed level. Examples are included to illustrate the proposed design technique.

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

Cited by 17 publications

References 22 publications

Design and Optimization of Enhanced Magnitude and Phase Response IIR Full-Band Digital Differentiator and Integrator Using the Cuckoo Search Algorithm

Design and Optimization of Enhanced Magnitude and Phase Response IIR Full-Band Digital Differentiator and Integrator Using the Cuckoo Search Algorithm

Design of two‐dimensional FIR filters with quadrantally symmetric properties using the 2DL₁‐method

Design of Second Order Recursive Digital Integrators with Matching Phase and Magnitude Response

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

Cited by 17 publications

References 22 publications

Design and Optimization of Enhanced Magnitude and Phase Response IIR Full-Band Digital Differentiator and Integrator Using the Cuckoo Search Algorithm

Design and Optimization of Enhanced Magnitude and Phase Response IIR Full-Band Digital Differentiator and Integrator Using the Cuckoo Search Algorithm

Design of two‐dimensional FIR filters with quadrantally symmetric properties using the 2DL1‐method

Design of Second Order Recursive Digital Integrators with Matching Phase and Magnitude Response

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Design of two‐dimensional FIR filters with quadrantally symmetric properties using the 2DL₁‐method