ESTIMATION OF THE DELAY TIME BY THE PHASE-FREQUENCY METHOD ON A LIMITED SET OF SPECTRAL READINGS
The relevance of the research is caused by the fact that one of the most significant tasks of signal processing is the localization and positioning of objects, which are closely related to the estimation of the delay time. The paper proposes an original phase-frequency method for estimating the dela...
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| Format: | Article |
| Language: | English |
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Tomsk Polytechnic University
2023-03-01
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| Series: | Известия Томского политехнического университета: Промышленная кибернетика |
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| Online Access: | https://indcyb.ru/journal/article/view/15/14 |
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| _version_ | 1850121586331353088 |
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| author | Kirill D. Voevodin Vladimir A. Faerman |
| author_facet | Kirill D. Voevodin Vladimir A. Faerman |
| author_sort | Kirill D. Voevodin |
| collection | DOAJ |
| description | The relevance of the research is caused by the fact that one of the most significant tasks of signal processing is the localization and positioning of objects, which are closely related to the estimation of the delay time. The paper proposes an original phase-frequency method for estimating the delay time from a limited set of spectral readings and applicable, for example, in problems of localizing sources of narrow-band signals with known center frequency. The paper provides theoretical justification for the applicability of the method and its computational advantages, as well as its approbation and empirical validation of theoretical estimates of computational complexity. Based on theoretical assessments and empirical tests on a Raspberry Pi 4 single-board computer, the conditions under which the application of the new method is advisable are determined. Purpose: to propose a new phase-frequency method for estimating the delay time, which is characterized by high computational efficiency in relation to narrowband signals with known center frequency. Objects: phase-frequency methods for estimating the delay time. Methods: mathematical methods of digital signal processing; methods for estimating the computational complexity of algorithms; empirical methods for estimating program execution time. Results. The authors have proposed the new method for estimating the delay time, based on the calculation of a limited set of neighboring spectral readings using Goertzel algorithm; theoretically substantiated and empirically refined the limiting parameters of the problem, for which the application of the new method is efficient in terms of computation time. |
| format | Article |
| id | doaj-art-9cd561d642304de28ad2daff3f03364b |
| institution | OA Journals |
| issn | 2949-5407 |
| language | English |
| publishDate | 2023-03-01 |
| publisher | Tomsk Polytechnic University |
| record_format | Article |
| series | Известия Томского политехнического университета: Промышленная кибернетика |
| spelling | doaj-art-9cd561d642304de28ad2daff3f03364b2025-08-20T02:35:03ZengTomsk Polytechnic UniversityИзвестия Томского политехнического университета: Промышленная кибернетика2949-54072023-03-0111596510.18799/29495407/2023/1/15ESTIMATION OF THE DELAY TIME BY THE PHASE-FREQUENCY METHOD ON A LIMITED SET OF SPECTRAL READINGSKirill D. Voevodin0Vladimir A. Faerman1Tomsk State University of Control Systems and Radioelectronics, RussiaTomsk State University of Control Systems and Radioelectronics, RussiaThe relevance of the research is caused by the fact that one of the most significant tasks of signal processing is the localization and positioning of objects, which are closely related to the estimation of the delay time. The paper proposes an original phase-frequency method for estimating the delay time from a limited set of spectral readings and applicable, for example, in problems of localizing sources of narrow-band signals with known center frequency. The paper provides theoretical justification for the applicability of the method and its computational advantages, as well as its approbation and empirical validation of theoretical estimates of computational complexity. Based on theoretical assessments and empirical tests on a Raspberry Pi 4 single-board computer, the conditions under which the application of the new method is advisable are determined. Purpose: to propose a new phase-frequency method for estimating the delay time, which is characterized by high computational efficiency in relation to narrowband signals with known center frequency. Objects: phase-frequency methods for estimating the delay time. Methods: mathematical methods of digital signal processing; methods for estimating the computational complexity of algorithms; empirical methods for estimating program execution time. Results. The authors have proposed the new method for estimating the delay time, based on the calculation of a limited set of neighboring spectral readings using Goertzel algorithm; theoretically substantiated and empirically refined the limiting parameters of the problem, for which the application of the new method is efficient in terms of computation time.https://indcyb.ru/journal/article/view/15/14delay time estimationcross-phase frequency responsediscrete fourier transformgoertzel algorithmphase-frequency methodraspberry pi 4 |
| spellingShingle | Kirill D. Voevodin Vladimir A. Faerman ESTIMATION OF THE DELAY TIME BY THE PHASE-FREQUENCY METHOD ON A LIMITED SET OF SPECTRAL READINGS Известия Томского политехнического университета: Промышленная кибернетика delay time estimation cross-phase frequency response discrete fourier transform goertzel algorithm phase-frequency method raspberry pi 4 |
| title | ESTIMATION OF THE DELAY TIME BY THE PHASE-FREQUENCY METHOD ON A LIMITED SET OF SPECTRAL READINGS |
| title_full | ESTIMATION OF THE DELAY TIME BY THE PHASE-FREQUENCY METHOD ON A LIMITED SET OF SPECTRAL READINGS |
| title_fullStr | ESTIMATION OF THE DELAY TIME BY THE PHASE-FREQUENCY METHOD ON A LIMITED SET OF SPECTRAL READINGS |
| title_full_unstemmed | ESTIMATION OF THE DELAY TIME BY THE PHASE-FREQUENCY METHOD ON A LIMITED SET OF SPECTRAL READINGS |
| title_short | ESTIMATION OF THE DELAY TIME BY THE PHASE-FREQUENCY METHOD ON A LIMITED SET OF SPECTRAL READINGS |
| title_sort | estimation of the delay time by the phase frequency method on a limited set of spectral readings |
| topic | delay time estimation cross-phase frequency response discrete fourier transform goertzel algorithm phase-frequency method raspberry pi 4 |
| url | https://indcyb.ru/journal/article/view/15/14 |
| work_keys_str_mv | AT kirilldvoevodin estimationofthedelaytimebythephasefrequencymethodonalimitedsetofspectralreadings AT vladimirafaerman estimationofthedelaytimebythephasefrequencymethodonalimitedsetofspectralreadings |