Abstract
The paper discusses an algorithm for spectral density estimation in the frequency domain using wavelet-based smoothing by wavelet thresholding techniques. The suggested algorithm can be applied to vibrational and hydroacoustic signal processing in order to estimate signal parameters in the frequency domain. The algorithm can be applied to the Fourier periodogram without using signal samples in the time domain. We also propose a technique aimed at working with signals of arbitrary length by applying the maximal overlap discrete wavelet transform. We also study software-hardware implementation of the developed algorithms.
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Dmitrii Klionskiy PhD, Associate Professor, Deputy Dean for international affairs (faculty of Computer Science and Technology), leading researcher at Saint Petersburg Electrotechnical University “LETI” (St. Petersburg, Russia). In 2013 he defended his PhD thesis in applied mathematics and digital signal processing at St. Petersburg Electrotechnical University “LETI.” The current research and academic work are concerned with adaptive signal processing (empirical mode decomposition (EMD), wavelet analysis, singular spectral analysis) and intelligent analysis of signals on the basis of Data Mining techniques (segmentation, clustering, classification, mining association rules, sequential analysis). Klionskiy regularly takes part in different joint projects connected with telemetric signal processing, geophysical data processing and analysis and intelligent analysis of geophysical and telemetric data. The most substantial results are in the fields of adaptive signal processing and spectral analysis of signals including signal preprocessing (denoising, detrending, Hurst parameter estimation via EMD, timefrequency analysis, segmentation and clustering of signals). Klionskiy was awarded special prizes by the Ministry of Education and Science of the Russian Federation for academic achievements. He is the author of more than 80 papers on digital signal processing.
Dmitrii Kaplun PhD, Associate Professor, senior researcher at St. Petersburg Electrotechnical University “LETI” (St. Petersburg, Russia). In 2009 he defended his PhD thesis in digital signal processing at Saint Petersburg Electrotechnical University “LETI.” The current research and academic work are concerned with digital filter banks, radio monitoring and hydroacoustic monitoring applications, filter bank implementation using FPGA and CUDA, MATLAB, digital filtering, distributed arithmetic, reconfigurable systems. Kaplun regularly takes part in different joint projects connected with hydroacoustic and radio signal processing, vibrational signal processing and analysis and software-hardware implementation of digital signal processing algorithms in radio monitoring and hydroacoustic monitoring applications. The most substantial results are in the fields of digital filtering, reconfigurable systems, digital filter bank design, radio monitoring and hydroacoustic monitoring system design. Kaplun was awarded special prizes by the Ministry of Education and Science of the Russian Federation for academic achievements. He is the author of more than 50 papers on digital signal processing.
Mikhail Kupriyanov PhD, Dr. of Tech. Sci., Professor, graduate of Omsk Polytechnical University (Omsk, Russia). Dean of the faculty of Computer Science and Technology of St. Petersburg Electrotechnical University “LETI” (since 2010), head of the department of Computer Science and Engineering of St. Petersburg Electrotechnical University “LETI” (since 2014) In 1988 he defended his doctoral thesis in the field of microprocessors and signal processing and later was conferred the rank of full professor at St. Petersburg State Electrotechnical University. At present, he is the head of a joint project with the Corporation “Oceanpribor” devoted to the development of mathematical, software and hardware tools for hydroacoustic signal processing. He teaches Microprocessor systems, Digital signal processing and Software development. His scientific work is connected with microprocessor systems, embedded systems, parallel and distributed computing, digital signal processing, intellectual analysis of data, Data Mining techniques (classification, clustering, association rules, etc.), software and hardware development. Kupriyanov is the author and co-author of several books on microprocessor systems, digital signal processing, and Data mining. The outlook for the future is mainly connected with further investigation and development of Data Mining techniques and signal processing techniques for hydroacoustic applications. He is the author of more than 150 papers on digital signal processing, microprocessor systems, artificial intelligence, parallel computing, and embedded systems.
Anatoly Dorokhov PhD, head of Information and Methodical Center of the faculty of Computer Science and Technology, senior lecturer of the department of Computer Science and Engineering of ETU “LETI.” Dorokhov graduated from Kirov Ural Polytechnical University. The main academic interests comprise technologies and safety of self-organizing wireless networks of data transmission, development of embedded microprocessor computational systems for hydroacoustic applications, design of dependable computational systems.
Aleksandr Golubkov postgraduate student (faculty of Computer Technologies and Informatics, Department of Software Engineering and Computer Applications), junior researcher at Saint Petersburg Electrotechnical University “LETI” (St. Petersburg, Russia). Graduate of St. Petersburg Electrotechnical University “LETI” (2015, Department of Software Engineering and Computer Applications). The current research and academic work are concerned with hydroacoustic monitoring applications, adaptive signal processing algorithms, spectral analysis, wavelets. Golubkov regularly takes part in different joint projects connected with hydroacoustic and radio signal processing, vibrational signal processing and analysis and software-hardware implementation of digital signal processing algorithms in radio monitoring and hydroacoustic monitoring applications. He is the author of 10 papers on digital signal processing.
Vladimir Geppener PhD, Dr. of Tech. Sci., Professor, graduate of Saint Petersburg Electrotechnical University “LETI,” Department of Electric and Electronic Engineering (Saint Petersburg, Russia, 1962) and Saint Petersburg State University, Department of Mathematics and Mechanics (St. Petersburg, Russia, 1979). In 2000 he defended his doctoral thesis in the field of artificial intelligence and signal processing and later was conferred the rank of full professor at St. Petersburg State Electrotechnical University (2003). At present, he is working in the Research and Engineering Center of Saint Petersburg Electrotechnical University (St. Petersburg, Russia) as a leading researcher. Geppener also works as a full professor in Saint-Petersburg Electrotechnical University and teaches Digital signal processing, Artificial Intelligence, and Speech recognition. In 1999–2005 he gave lectures on Digital signal processing at Petropavlovsk-Kamchatsky State University (Petropavlovsk- Kamchatsky, Russia) and taught Computational mathematics. Geppener’s scientific work is connected with acoustics, digital signal processing, intellectual analysis of data, speech processing, pattern recognition, and image analysis. He has developed several applications of acoustics and Data Mining. He was twice awarded special grants by the Russian Foundation for Basic Research (RFBR). Geppener is the author and co-author of several books on geophysics, fundamentals of signal processing, and wavelets. The outlook for the future is mainly connected with further investigation and development of Data Mining techniques with regard to acoustics and telemetric signal processing. He is the author of more than 200 papers on digital signal processing.
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Klionskiy, D.M., Kaplun, D.I., Kupriyanov, M.S. et al. Vibrational and hydroacoustic signal processing in the frequency domain and its software-hardware implementation. Pattern Recognit. Image Anal. 27, 588–598 (2017). https://doi.org/10.1134/S1054661817030191
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DOI: https://doi.org/10.1134/S1054661817030191