Title:
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Operators to calculate the derivative of digital signals
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Author:
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Ferrer Arnau, Luis Jorge; Mon González, Juan; Parisi Baradad, Vicenç
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Enginyeria Electrònica; Universitat Politècnica de Catalunya. TIEG - Terrassa Industrial Electronics Group; Universitat Politècnica de Catalunya. Centre de Desenvolupament Tecnològic de Sistemes d'Adquisició Remota i Tractament de la Informació (SARTI) |
Abstract:
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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 %. |
Abstract:
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Peer Reviewed |
Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica::Càlcul de variacions -Àrees temàtiques de la UPC::Enginyeria electrònica::Electrònica de potència -Electronic apparatus and appliances -First derivative operator -cubic B-splines -FIR filters -low computational cost -detecting singular points of a discrete signal -DA conversion -Electrònica--Aparells i instruments |
Rights:
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Document type:
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Article - Published version Conference Object |
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