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Operators to calculate the derivative of digital signals

Author
Ferrer-Arnau, Ll.; Mon, J.; Parisi, V.
Type of activity
Presentation of work at congresses
Name of edition
2013. 19th IMEKO TC-4 Symposium Measurements of Electrical Quantities
Date of publication
2013
Presentation's date
2013-07-18
Book of congress proceedings
Proceedings 19th IMEKO TC-4, Barcelona, Spain Universitat Politècnica de Catalunya July 18th and 19th, 2013
First page
301
Last page
306
Repository
http://hdl.handle.net/2117/22001 Open in new window
URL
http://www.imeko.org/publications/tc4-2013/IMEKO-TC4-2013-076.pdf Open in new window
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...
Citation
Ferrer-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.
Keywords
DA conversion, FIR filters, First derivative operator, cubic B-splines, detecting singular points of a discrete signal, low computational cost
Group of research
Electromagnetic Compatibility (EMC); Widebandgap (WBG); Internal Activity; Feature Selective Validation (FSV); Spread Spectrum modulation; Reliability; Multilevel Converters; Fault detection;
PERC-UPC - Power Electronics Research Centre
SARTI - Technological Development Center for Remote Acquisition and Data Processing System

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