A Technique for Multiple Signal Differentiation |
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| Authors: | A V Dylevskii |
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| Institution: | (1) Department of Electrical and Computer Engineering, The University of Arizona, P.O. Box 210104, 1230 E. Speedway, Tucson, AZ 85721, USA;(2) Radiology Research Laboratory, University of Arizona, (Bldg. 211), 1609, N. Warren Avenue, Tucson, AZ 85724, USA;(3) Department of Radiology, Duke University Medical Center, 128 Bryan Research Bldg., Box 3302, Durham, NC 27710, USA |
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| Abstract: | The state-space method is applied for noise-tolerant multiple differentiation of signals from a certain class. The construction of differentiators is reduced to the design of a state observer for a dynamical system with an unknown bounded input. Any prespecified differentiation accuracy of signals from the given class can be achieved by increasing the observer dimension, i.e., the order of the differentiator transfer function. The proposed differentiators are tolerant to high-frequency additive noise. |
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