Improvement of Jain’s algorithm for frequency estimation
DOI:
https://doi.org/10.24193/subbeng.2020.1.12Keywords:
frequency estimation, interpolation, algorithm, Discrete Fourier Transform, modal analysisAbstract
In this paper we propose a procedure to correct Jain's algorithm, which in certain situations fails in correctly estimating the frequency by indicating frequency values that are very far from the real frequency. It happens because the two points considered for the method proposed by Jain are not on the same lobe. Thus, a method is proposed according to which these points are chosen so that the results are improved.References
Gillich G.R., Mituletu I.C., Praisach Z.I., Negru I., Tufoi M., Method to Enhance the Frequency Readability for Detecting Incipient Structural Damage, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 41(3), 2017, pp. 233–242.
Johnson C., Sethares W., Klein A., Software Receiver Design: Build Your Own Digital Communications System in Five Easy Steps, 2011.
Knight W., Pridham R., Kay S., Digital signal processing for sonar, Proceedings of the IEEE, 69(11), 1981, pp. 1451–1506.
Jacobsen E., Kootsookos P., Fast, accurate frequency estimators, IEEE Signal Processing Magazine, 24(3), 2007, pp. 123-125.
Candan C., A method for fine resolution frequency estimation from three DFT samples, IEEE Signal Processing Letters, 18(6), 2011, pp. 351-354.
Gillich G.R., Minda A.A., Korka Z.I., Precise estimation of the resonant frequencies of mechanical structures involving a pseudo-sinc based technique, Journal of Engineering Sciences and Innovation , A. Mechanics, Mechanical and Industrial Engineering, Mechatronics, 2(4), 2017, pp. 37-48.
Minda A.A., Gillich G.R., Sinc Function Based Interpolation Method to Accurate Evaluate the Natural Frequencies, Analele Universitatii „Eftimie Murgu“ Resita, Fascicula de Inginerie, 24(1), 2017, pp. 211-218.
Grandke T., Interpolation Algorithms for Discrete Fourier Transforms of Weighted Signals, IEEE Transactions on Instrumentation and Measurement, 32, 1983, pp. 350-355.
Jain V.K., Collins W.L., Davis D.C., High-Accuracy Analog Measurements via Interpolated FFT, IEEE Transactions on Instrumentation and Measurement, 28, 1979, pp. 113-122.
Ding K., Zheng C., Yang Z., Frequency Estimation Accuracy Analysis and Improvement of Energy Barycenter Correction Method for Discrete Spectrum, Journal of Mechanical Engineering, 46(5), 2010, pp. 43-48.
Voglewede P., Parabola approximation for peak determination, Global DSP Magazine, 3(5), 2004, pp. 13-17.
Quinn B.G., Estimating Frequency by Interpolation Using Fourier Coefficients, IEEE Transactions on Signal Processing, 42, 1994, pp. 1264-1268.
Aboutanios E., Mulgrew B., Iterative frequency estimation by interpolation on Fourier coefficients, IEEE Transactions on Signal Processing, 53(4), 2005, pp. 1237-1242.
Belega D., Petri D., Frequency Estimation by Two- or Three-Point Interpolated Fourier Algorithms based on Cosine Windows, Signal Processing, 114, 2015, pp. 115–125.
Minda A.A., Gillich N., Mituletu I.C., Ntakpe J.L., Mănescu T., Negru I., Accurate Frequency Evaluation of Vibration Signals by Multi-Windowing Analysis, Applied Mechanics and Materials, 801, 2015, pp. 328-332.
Xiang J.Z., Qing S., Wei C., A novel single tone frequency estimation by interpolation using DFT samples with zero-padding, Proc. IEEE ICSP, Chengdu, China, Mar. 2017, pp. 277-281.
Gillich G.R., Nedelcu D., Minda A.A., Lupu D., An algorithm to find the two spectral lines on the main lobe of a DFT, 43rd International Conference on Mechanics of Solids, 2019, pp.44-49.
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