Design of digital differentiators for low frequencies

Kumar, Bipin; Roy, S. C. Dutta

doi:10.1109/5.4408

Cited by 111 publications

(49 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A starting point of the velocity/displacement estimation was in [9]. Relatively nonconservative velocity filter in [7] was used for the same simulation of Fig.…”

Section: Methods For Removing the Noisy Behaviormentioning

confidence: 99%

A simulation/experimental study of the noisy behavior of the time-domain passivity controller

et al. 2005

View full text Add to dashboard Cite

Abstract-A noisy behavior of the time domain passivity controller during the period of low velocity is analyzed. Main reasons of the noisy behavior are investigated through a simulation with a one-DOF haptic interface model. It is shown that the PO/PC is ineffective in dissipating the produced energy when the sign of the velocity, which is numerically calculated from the measured position, is suddenly changed, and when this velocity is zero. These cases happen during the period of low velocity due to the limited resolution of the position sensor. New methods, ignoring the produced energy from the velocity sign change, and holding the control force while the velocity is zero, are proposed for removing the noisy behavior. The feasibility of the developed methods is proved with both a simulation and a real experiment.Index Terms-Noisy behavior, haptic interface, passivity controller, passivity observer, time-domain passivity.

show abstract

“…A starting point of the velocity/displacement estimation was in [9]. Relatively nonconservative velocity filter in [7] was used for the same simulation of Fig.…”

Section: Methods For Removing the Noisy Behaviormentioning

confidence: 99%

A simulation/experimental study of the noisy behavior of the time-domain passivity controller

et al. 2005

View full text Add to dashboard Cite

show abstract

“…Later, Bihan generalized this method and introduced the H R T ( Z ) class [3] and recently, Al-Alaoui [5] and [6] proposed integrators based on the formulation of HST ( z ) class. Substituting H s (2) and HT ( z ) into (2) and after some simplifications, HST ( z ) takes the following general form…”

Section: H S T ( Z ) = a H S ( Z )mentioning

confidence: 99%

A new approach for the design of digital integrators

Papamarkos

Chamzas

1996

IEEE Trans. Circuits Syst. I

View full text Add to dashboard Cite

785coefficients -ym (location of the borders between the regions). Thus, the behavior of an n-dimensional system having a piecewise-linear continuous vector field with o-regions and parallel boundaries (4) is uniquely determined by the n eigenvalues of A, n eigenvalues of A + deT, n . a eigenvalues of A + bmey for m = 1, . . . , a, and a locations of the borders between the regions which makes a total of 2 . n + n . a + a parameters. IV. CONCLUSIONWe have shown that vector fields in Lur'e form having identical eigenvalue patterns and belonging to the same family ( ( n , f) are linearly conjugate. Hence, their attractor dimensions, Lyapunov exponents and entropies are identical. Furthermore, we have suggested the construction of a canonical system (10) that retains all features of its family of vector fields in Lur'e form and has reduced number of parameters by n2 -n compared to other members of the same family that have the same eigenvalue pattern. ACKNOWLEDGMENTThe authors wish to thank the anonymous reviewers for their valuable comments and helpful suggestions on earlier version of this paper that have improved the quality and clarity of the presentation.Abstract-In this brief, a new method is proposed for the design of digital integrators. The new method is based upon the formulation of an appropriate linear programming problem which assures a satisfactory minimax approximation error for the magnitude response in a predefined frequency range. In comparison with existing methods the new design approach constructs a novel class of digital integrators by optimal determining more than one independent coefficients. Their capability to approximate in the minimax sense the ideal integrator with a good accuracy is shown. Well-known integrators can be obtained as special cases of the proposed methodology. Appropriate constraints can be introduced to accommodate signals with low frequencies.

show abstract

“…The third set 0.50000 0.50000 0.50000 0.50000 1 2 1 2 of filter coefficients was chosen using the maximally linear criterium. This criterium was developed by B. Kumar and S.C. Dutta Roy in [66][67][68] for application in digital differentiator filters. The maximally linear criterium fixes a number of derivatives of the transfer function at a chosen frequency, guaranteeing high accuracy around a small frequency band.…”

Section: Filter Coefficientsmentioning

confidence: 99%

Linear, Low Noise Microwave Photonic Systems using Phase and Frequency Modulation

Wyrwas¹

2012

View full text Add to dashboard Cite

Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. All rights reserved.Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. To copy otherwise, to republish, to post on servers or to redistribute to lists, requires prior specific permission. Photonic systems that transmit and process microwave-frequency analog signals have traditionally been encumbered by relatively large signal distortion and noise. Optical phase modulation (PM) and frequency modulation (FM) are promising techniques that can improve system performance. In this dissertation, I discuss an optical filtering approach to demodulation of PM and FM signals, which does not rely on high frequency electronics, and which scales in linearity with increasing photonic integration. I present an analytical model, filter designs and simulations, and experimental results using planar lightwave circuit (PLC) filters and FM distributed Bragg reflector (DBR) lasers. The linearity of the PM and FM photonic links exceed that of the current state-of-the-art.

show abstract

Design of digital differentiators for low frequencies

Cited by 111 publications

References 2 publications

A simulation/experimental study of the noisy behavior of the time-domain passivity controller

A simulation/experimental study of the noisy behavior of the time-domain passivity controller

A new approach for the design of digital integrators

Linear, Low Noise Microwave Photonic Systems using Phase and Frequency Modulation

Contact Info

Product

Resources

About