Design of digital differentiators

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dc.contributor.advisor Kavanagh, Richard C. en
dc.contributor.author Yang, Xiaoli
dc.date.accessioned 2015-09-22T15:42:52Z
dc.date.issued 2014
dc.date.submitted 2014
dc.identifier.citation Yang, X. 2014. Design of digital differentiators. PhD Thesis, University College Cork. en
dc.identifier.endpage 189
dc.identifier.uri http://hdl.handle.net/10468/1984
dc.description.abstract A 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.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher University College Cork en
dc.rights © 2014, Xiaoli Yang. en
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/ en
dc.subject FIR, IIR en
dc.subject Signal processing en
dc.subject Differentiator en
dc.subject Low-pass en
dc.subject Fractional calculus en
dc.title Design of digital differentiators en
dc.type Doctoral thesis en
dc.type.qualificationlevel Doctoral en
dc.type.qualificationname PHD (Engineering) en
dc.internal.availability Full text available en
dc.description.version Accepted Version
dc.contributor.funder Engineering, College of Science, Engineering and Food Science, University College Cork en
dc.description.status Not peer reviewed en
dc.internal.school Electrical and Electronic Engineering en
dc.check.reason This thesis is due for publication or the author is actively seeking to publish this material en
dc.check.opt-out Not applicable en
dc.thesis.opt-out false
dc.check.embargoformat Both hard copy thesis and e-thesis en
ucc.workflow.supervisor r.kavanagh@ucc.ie
dc.internal.conferring Autumn Conferring 2014


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© 2014, Xiaoli Yang. Except where otherwise noted, this item's license is described as © 2014, Xiaoli Yang.
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