Operators to calculate the derivative of digital signals

View/Open
Document typeConference lecture
Defense date2013
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial
property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public
communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
This paper presents an FIR operator with a very low computational cost for calculating the first derivative of discrete band-limited signals. The basic idea is to use cubic spline polynomials for interpolating
among the samples and estimate the derivative of the discrete signal as a derivative of the polynomial. This method also allows estimating the derivative at the points between samples. The main contribution of this work is to develop a highly efficient FIR operator with only 9 coefficients for implementing the derivative operator algorithm. The resulting filter can be easily implemented in a microcontroller or an FPGA since only 5 additions and 3 fixed-point multiplications are necessary. If the frequency range of the input signal is between 0 and 0.2 times the sampling frequency (taking 5 samples per cycle), the maximum error in calculating the derivative does not exceed 1.03 %.
CitationFerrer-Arnau, Ll.; Mon, J.; Parisi, V. Operators to calculate the derivative of digital signals. A: IMEKO World Congress. "Proceedings 19th IMEKO TC-4, Barcelona, Spain Universitat Politècnica de Catalunya July 18th and 19th, 2013". Barcelona: 2013, p. 301-306.
ISBN978-84-616-5438-3
Publisher versionhttp://www.imeko.org/publications/tc4-2013/IMEKO-TC4-2013-076.pdf
Collections
Files | Description | Size | Format | View |
---|---|---|---|---|
imeko_Ferrer.pdf | Article principal | 325,0Kb | View/Open |