Design of digital differentiators

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dc.check.embargoformatBoth hard copy thesis and e-thesisen
dc.check.opt-outNot applicableen
dc.check.reasonThis thesis is due for publication or the author is actively seeking to publish this materialen
dc.contributor.advisorKavanagh, Richard C.en
dc.contributor.authorYang, Xiaoli
dc.contributor.funderEngineering, College of Science, Engineering and Food Science, University College Corken
dc.date.accessioned2015-09-22T15:42:52Z
dc.date.issued2014
dc.date.submitted2014
dc.description.abstractA digital differentiator simply involves the derivation of an input signal. This work includes the presentation of first-degree and second-degree differentiators, which are designed as both infinite-impulse-response (IIR) filters and finite-impulse-response (FIR) filters. The proposed differentiators have low-pass magnitude response characteristics, thereby rejecting noise frequencies higher than the cut-off frequency. Both steady-state frequency-domain characteristics and Time-domain analyses are given for the proposed differentiators. It is shown that the proposed differentiators perform well when compared to previously proposed filters. When considering the time-domain characteristics of the differentiators, the processing of quantized signals proved especially enlightening, in terms of the filtering effects of the proposed differentiators. The coefficients of the proposed differentiators are obtained using an optimization algorithm, while the optimization objectives include magnitude and phase response. The low-pass characteristic of the proposed differentiators is achieved by minimizing the filter variance. The low-pass differentiators designed show the steep roll-off, as well as having highly accurate magnitude response in the pass-band. While having a history of over three hundred years, the design of fractional differentiator has become a ‘hot topic’ in recent decades. One challenging problem in this area is that there are many different definitions to describe the fractional model, such as the Riemann-Liouville and Caputo definitions. Through use of a feedback structure, based on the Riemann-Liouville definition. It is shown that the performance of the fractional differentiator can be improved in both the frequency-domain and time-domain. Two applications based on the proposed differentiators are described in the thesis. Specifically, the first of these involves the application of second degree differentiators in the estimation of the frequency components of a power system. The second example concerns for an image processing, edge detection application.en
dc.description.statusNot peer revieweden
dc.description.versionAccepted Version
dc.format.mimetypeapplication/pdfen
dc.identifier.citationYang, X. 2014. Design of digital differentiators. PhD Thesis, University College Cork.en
dc.identifier.endpage189
dc.identifier.urihttps://hdl.handle.net/10468/1984
dc.language.isoenen
dc.publisherUniversity College Corken
dc.rights© 2014, Xiaoli Yang.en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.subjectFIR, IIRen
dc.subjectSignal processingen
dc.subjectDifferentiatoren
dc.subjectLow-passen
dc.subjectFractional calculusen
dc.thesis.opt-outfalse
dc.titleDesign of digital differentiatorsen
dc.typeDoctoral thesisen
dc.type.qualificationlevelDoctoralen
dc.type.qualificationnamePHD (Engineering)en
ucc.workflow.supervisorr.kavanagh@ucc.ie
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