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 | | Electric filters, Digital | Design and construction
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|  | Design and implementation of fractional-order butterworth filter
Author: Singh, Nikhil Avneet
Institution: The University of the South Pacific
Award: M.Sc.
Subject: Electric filters, Digital | Design and construction
Date: 2018
Call No.: Pac TK 7872 .F5 S56 2018
BRN: 1377450
Copyright:10-20% of this thesis may be copied without the authors written permission
Abstract: This thesis investigates the importance and novelty in the design and implementation of fractional order Butterworth filter of order (1 + _). The filter coefficients with de- sired specification are provided after constraint optimization. The major constraints set to develop the fractional step filter and assuring better result with least square er- ror in magnitude responses, less sensitivity to parameter variation, least passband and stopband errors and -3dB frequency approximately 1 rad/s. Commonly used approx- imation, namely continued fractional expansion is adopted for fractional Laplacian operator s_. The transformation technique is verified to extend same for the high- pass fractional order filter. Finally, experimental results are validated with simulation for various fractional step values.
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