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Operators to calculate the derivative of digital signals
dc.contributor.author | Ferrer Arnau, Luis Jorge |
dc.contributor.author | Mon González, Juan |
dc.contributor.author | Parisi Baradad, Vicenç |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Electrònica |
dc.date.accessioned | 2014-03-12T11:22:00Z |
dc.date.available | 2014-03-12T11:22:00Z |
dc.date.created | 2013 |
dc.date.issued | 2013 |
dc.identifier.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. |
dc.identifier.isbn | 978-84-616-5438-3 |
dc.identifier.uri | http://hdl.handle.net/2117/22001 |
dc.description.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 %. |
dc.format.extent | 6 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica::Càlcul de variacions |
dc.subject | Àrees temàtiques de la UPC::Enginyeria electrònica::Electrònica de potència |
dc.subject.lcsh | Electronic apparatus and appliances |
dc.subject.other | First derivative operator |
dc.subject.other | cubic B-splines |
dc.subject.other | FIR filters |
dc.subject.other | low computational cost |
dc.subject.other | detecting singular points of a discrete signal |
dc.subject.other | DA conversion |
dc.title | Operators to calculate the derivative of digital signals |
dc.type | Conference lecture |
dc.subject.lemac | Electrònica--Aparells i instruments |
dc.contributor.group | Universitat Politècnica de Catalunya. (TIEG) - Terrassa Industrial Electronics Group |
dc.contributor.group | Universitat Politècnica de Catalunya. SARTI - Centre de Desenvolupament Tecnològic de Sistemes d'Adquisició Remota i Tractament de la Informació |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://www.imeko.org/publications/tc4-2013/IMEKO-TC4-2013-076.pdf |
dc.rights.access | Open Access |
local.identifier.drac | 13079027 |
dc.description.version | Postprint (published version) |
local.citation.author | Ferrer-Arnau, Ll.; Mon, J.; Parisi, V. |
local.citation.contributor | IMEKO World Congress |
local.citation.pubplace | Barcelona |
local.citation.publicationName | Proceedings 19th IMEKO TC-4, Barcelona, Spain Universitat Politècnica de Catalunya July 18th and 19th, 2013 |
local.citation.startingPage | 301 |
local.citation.endingPage | 306 |