A simplification to the fast FIR-FFT filtering technique in the DSP interpolation process for band-limited signals
AbstractFrequently, when great amounts of sampled data are manipulated, it is necessary to reduce them to a fraction that truly represents the data. Here two elements are important; neither is it desirable for the amount of data to be too extensive; nor is it desirable to lose key information. For the data reconstruction,it is often required a interpolation technique. This work proposes an optimization of the fast FIR filtering-based DSP interpolation technique. The resulting interpolator is a feasible, simplified version of hardware implementations, which is ideal for the reconstruction of band-limited signals with adequate sampling. In case studies included in this work, wind and temperature signals are used. The temperature signal has a suitable sampling rate and with the use of the interpolator it presents an error of 3.95% for a reduction of 99.61% of the data. The wind signal is very unpredictable and it does not have a suitable sampling rate. Hence, the interpolator does not improve the reconstruction of the signal in comparison to the averages. Typically, an average signal value is recorded for each 10 minute period, in which, the wind signal presents an error 8.6 times greater than the temperature signal. In order to reduce this error in the wind signal, it is recommended to increase the sampling rate and the quantization levels in measurement equipment.
J. Proakis, D. Manolakis, Digital Signal Processing. Digital Signal Processing, Principles, Algorithms and Applications. 4th ed. Ed. Pearson, Prentice Hall. New Jersey, USA. pp. 26-30
C. Herley, P. Wong. “Minimum Rate Sampling and Reconstruction of Signals with Arbitrary Frequency Support”. IEEE Transactions On Information Theory. Vol. 45. 1999. pp. 1555-1564.
V. Kazakov, S. Afrikanov. “Sampling – Reconstruction Procedure of Gaussian Fields”. Computación y Sistemas. Vol. 7. 2006. pp. 227-242
T. Strohmer. “Implementations of Shannon’s Sampling Theorem: A Time-Frequency Approach”. Sampling Theory in Signal and Image Processing. Vol. 4. 2005. pp. 1-17.
F. Castillo, J. Arellano, S. Sánchez. “Statistical Approach to Basis Function Truncation in Digital Interpolation Filters”. International Journal of Electrical and Electronics Engineering. Vol. 4. 2010. pp. 229-233.
R. Lyons. Understanding Digital Signal Processing. 1st ed. Ed. Prentice Hall. New Jersey, USA. 2004. pp. 515-516, 387-389
R. Aboul, S. Bozic. “Multirate Techniques in Narrow Band FIR Filters”. International Journal of Electronic. Vol. 71. 1991. pp. 939-949.
H. Mattio, F. Tilca. Recomendaciones para Mediciones de Velocidad y Dirección de Viento con Fines de Generación Eléctrica, y Medición de Potencia Eléctrica Generada por Aerogeneradores. Secretaría de Energía. Buenos Aires, Argentina. 2009. pp. 3-4.
Copyright (c) 2018 Revista Facultad de Ingeniería
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Authors can archive the pre-print version (i.e., the version prior to peer review) and post-print version (that is, the final version after peer review and layout process) on their personal website, institutional repository and / or thematic repository
- Upon acceptance of an article, it will be published online through the page https://revistas.udea.edu.co/index.php/ingenieria/issue/archive in PDF version with its correspondent DOI identifier
The Revista Facultad de Ingeniería -redin- encourages the Political Constitution of Colombia, chapter IV
Chapter IV Sanctions 51
The following shall be liable to imprisonment for two to five years and a fine of five to 20 times the legal minimum monthly wage: (1) any person who publishes an unpublished literary or artistic work, or part thereof, by any means, without the express prior authorization of the owner of rights; (2) any person who enters in the National Register of Copyright a literary, scientific or artistic work in the name of a person other than the true author, or with its title altered or deleted, or with its text altered, deformed, amended or distorted, or with a false mention of the name of the publisher or phonogram, film, videogram or software producer; (3) any person who in any way or by any means reproduces, disposes of, condenses, mutilates or otherwise transforms a literary, scientific or artistic work without the express prior authorization of the owners thereof; (4) any person who reproduces phonograms, videograms, software or cinematographic works without the express prior authorization of the owner, or transports, stores, stocks, distributes, imports, sells, offers for sale, acquires for sale or distribution or in any way deals in such reproductions. Paragraph. If either the material embodiment or title page of or the introduction to the literary work, phonogram, videogram, software or cinematographic work uses the name, business style, logotype or distinctive mark of the lawful owner of rights, the foregoing sanctions shall be increased by up to half.