A Simple Approach to Design Recursive Digital Differentiators and Integrators

Upadhyay, Dharmendra Kumar; Singh, R. K.

doi:10.5120/3591-4979

Cited by 4 publications

(6 citation statements)

References 23 publications

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“…To verify the accuracy of proposed recursive digital differentiators, recently published Upadhyay-Singh [16] and the Gupta-Jain-Kumar [13] recursive digital differentiators and integrators are considered; which are given in (3), (13), (17) and (18) …”

Section: Linear Phase Differentiators and Integratorsmentioning

confidence: 99%

“…Therefore, the design of recursive wideband linear phase digital differentiators and integrators is the main issue in the current research environment. In [17], Upadhyay-Singh have also proposed the recursive wideband digital differentiator and integrator for lower error over wideband by using first-order IIR systems. Recently, Upadhyay has used zero-reflection approach to improve the phase linearity of digital filters [18].…”

Section: Introductionmentioning

confidence: 99%

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Recursive Wideband Linear Phase Digital Differentiators and Integrators

Upadhyay

2015

2015 International Conference on Computing Communication Control and Automation

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New designs of recursive digital differentiator and integrator are obtained by optimizing the pole-zero locations of existing design of recursive digital differentiator over a specific Nyquist band. These obtained designs have not more than 0.37% relative errors in magnitude responses over wideband. Further, the zero-reflection approach is applied to improve the phase responses of proposed and existing recursive digital differentiator and integrator designs. Finally, the obtained recursive digital differentiator and integrator designs of second-order systems have nearly linear phase response almost over the full Nyquist band with preserving the same magnitude response as of the original one. These designs are more suitable for real-time control and signal processing applications.

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Section: Linear Phase Differentiators and Integratorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Recursive Wideband Linear Phase Digital Differentiators and Integrators

Upadhyay

2015

2015 International Conference on Computing Communication Control and Automation

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“…Substantial recent research aimed at employing different optimisation techniques to design wideband IIR digital differentiators and integrators [19,20,[35][36][37][38][39][40][41][42][43][44]. However, a decade earlier, Papamarkos and Chamzas [22] employed linear programming to develop wideband second order integrators.…”

Section: Related Workmentioning

confidence: 99%

“…In [42], Upadhyay obtained nearly linear phase responses over the full band by optimising, over different frequency bands, a fourth order IIR filter. He employed pole-zero placement in [43][44][45]. In [44], Upadhay and Singh proposed new first order integrators and differentiators by applying the concept of time-constant analysis.…”

Section: Related Workmentioning

confidence: 99%

Confluence of pattern recognition and signal processing: application of Al‐Alaoui pattern recognition algorithm to digital filters design

Al-Alaoui

Baydoun

Yaacoub³

2015

IET signal process.

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A weighted mean square error (WMSE) approach to optimising digital filters is delineated. It is applied in the current work to optimising the classical Al-Alaoui IIR differentiators to obtain new improved wideband differentiators of varying orders. These can be directly used for analog to digital conversion and in many digital signal processing applications. The weighted MSE approach is motivated by the Al-Alaoui WMSE approach to pattern recognition. In addition, the differentiators are converted to integrators of similar orders that are further optimised. Various examples and comparisons are presented to demonstrate the viability of the proposed approach.

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“…Different design approaches for converting continuous time transfer function to discrete time equivalent are available in literature [1][2][3][4][5][6][7][8][9][10][11]. Higher order stable mapping functions were proposed by Schneider et al [12,13].…”

Section: Introductionmentioning

confidence: 99%

Low frequency recursive digital differentiator

Shrivastava

Varshney

2014

2014 Innovative Applications of Computational Intelligence on Power, Energy and Controls With Their Impact on Humanity (CIPECH)

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In this paper, modified Schneider operator and modified AL-SKG rule based recursive digital differentiators have been analyzed in the low frequency range. The first order s-to-z transformations obtained are in close conformity to the ideal differentiator in terms of magnitude. The phase response shows a linear variation in this range which is also desirable for several applications. MATLAB simulation results are presented to validate the effectiveness of the proposed analysis. These models can be used for discrete realizations of low frequency differentiators.

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A Simple Approach to Design Recursive Digital Differentiators and Integrators

Cited by 4 publications

References 23 publications

Recursive Wideband Linear Phase Digital Differentiators and Integrators

Recursive Wideband Linear Phase Digital Differentiators and Integrators

Confluence of pattern recognition and signal processing: application of Al‐Alaoui pattern recognition algorithm to digital filters design

Low frequency recursive digital differentiator

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