Инвариантность текущего энергетического Фурье-спектра действительных дискретных сигналов на конечных интервалах
Digital spectral analysis of signals based on DFT has a number of advantages. However, the transition from analogue to digital methods and techniques is accompanied by a number of undesirable effects. Signals in each subject area usually have their own specifics. Therefore, it is necessary to study...
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| Дата: | 2014 |
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| Формат: | Стаття |
| Мова: | Ukrainian |
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PE "Politekhperiodika", Book and Journal Publishers
2014
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| Онлайн доступ: | https://www.tkea.com.ua/index.php/journal/article/view/TKEA2014.1.15 |
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| Назва журналу: | Technology and design in electronic equipment |
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oai:tkea.com.ua:article-3302025-05-30T19:34:43Z The invariance of current energy fourier spectrum of discrete real signals on finite intervals Инвариантность текущего энергетического Фурье-спектра действительных дискретных сигналов на конечных интервалах Ponomarev, V. A. Ponomareva, O. V. digital signal final interval «sliding» spectral measurement basis invariance of current Fourier spectrum tonal components дискретный сигнал конечный интервал скользящие спектральные измерения инвариантность текущих энергетических Фурье-спектров тональные компоненты Digital spectral analysis of signals based on DFT has a number of advantages. However, the transition from analogue to digital methods and techniques is accompanied by a number of undesirable effects. Signals in each subject area usually have their own specifics. Therefore, it is necessary to study these effects in applications of spectral Fourier analysis. Such research is important for three reasons. Firstly, DFT properties are accurate, have their own specificity and significantly differ from the properties of the Fourier transform of continuous signals. Secondly, signals in each subject area have their own specificity. Thirdly, researchers often have prevailing knowledge in some particular domain, rather than in the field of digital signal processing techniques. As a result, in practice, some of the processes and effects arising in applications of digital spectral analysis, unfortunately, escape the attention of researchers which can result in erroneous conclusions. The paper deals with the problems of measuring Fourier spectrum of signals in the base of discrete exponential functions. Methods and algorithms of sliding measurements of energy Fourier spectrum of signals on finite intervals were described. The invariance of current energy Fourier spectrum to moving discrete real signals (which are not periodic) were investigated. The authors identify a new effect of digital spectral analysis — the effect of non-invariance of the current energy Fourier spectrum. Theoretical and practical results of analysis of invariance of current energy Fourier spectrum of tonal components are shown. The conducted studies allow us: — to see in a new light the measurement results on finite intervals of current Fourier spectrum and the current energy Fourier spectra of signals; — give a numerical estimate of the non-invariance of the current energy Fourier spectrum of real tonal components;— to increase the effectiveness of digital spectral analysis in its many applications, in particular, for solving the problems of detection and identification of hidden periodicities in such subject areas as radar, vibroacoustic diagnostics, passive sonar, biomedicine, etc. Рассмотрены вопросы измерения Фурье-спектров сигналов в базисе дискретных экспоненциальных функций. Предложены методы и алгоритмы скользящих измерений энергетических Фурье-спектров сигналов на конечных интервалах. Исследована инвариантность текущего энергетического Фурье-спектра сдвигу дискретных действительных сигналов, не являющихся периодическими. Приведены теоретические и практические результаты анализа инвариантности текущих энергетических Фурье-спектров тональных компонент. PE "Politekhperiodika", Book and Journal Publishers 2014-02-25 Article Article Peer-reviewed Article application/pdf https://www.tkea.com.ua/index.php/journal/article/view/TKEA2014.1.15 10.15222/TKEA2014.1.15 Technology and design in electronic equipment; No. 1 (2014): Tekhnologiya i konstruirovanie v elektronnoi apparature; 15-22 Технологія та конструювання в електронній апаратурі; № 1 (2014): Технология и конструирование в электронной аппаратуре; 15-22 3083-6549 3083-6530 uk https://www.tkea.com.ua/index.php/journal/article/view/TKEA2014.1.15/294 Copyright (c) 2014 Ponomarev V. A., Ponomareva O. V. http://creativecommons.org/licenses/by/4.0/ |
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Technology and design in electronic equipment |
| baseUrl_str |
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| datestamp_date |
2025-05-30T19:34:43Z |
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OJS |
| language |
Ukrainian |
| topic |
дискретный сигнал конечный интервал скользящие спектральные измерения инвариантность текущих энергетических Фурье-спектров тональные компоненты |
| spellingShingle |
дискретный сигнал конечный интервал скользящие спектральные измерения инвариантность текущих энергетических Фурье-спектров тональные компоненты Ponomarev, V. A. Ponomareva, O. V. Инвариантность текущего энергетического Фурье-спектра действительных дискретных сигналов на конечных интервалах |
| topic_facet |
digital signal final interval «sliding» spectral measurement basis invariance of current Fourier spectrum tonal components дискретный сигнал конечный интервал скользящие спектральные измерения инвариантность текущих энергетических Фурье-спектров тональные компоненты |
| format |
Article |
| author |
Ponomarev, V. A. Ponomareva, O. V. |
| author_facet |
Ponomarev, V. A. Ponomareva, O. V. |
| author_sort |
Ponomarev, V. A. |
| title |
Инвариантность текущего энергетического Фурье-спектра действительных дискретных сигналов на конечных интервалах |
| title_short |
Инвариантность текущего энергетического Фурье-спектра действительных дискретных сигналов на конечных интервалах |
| title_full |
Инвариантность текущего энергетического Фурье-спектра действительных дискретных сигналов на конечных интервалах |
| title_fullStr |
Инвариантность текущего энергетического Фурье-спектра действительных дискретных сигналов на конечных интервалах |
| title_full_unstemmed |
Инвариантность текущего энергетического Фурье-спектра действительных дискретных сигналов на конечных интервалах |
| title_sort |
инвариантность текущего энергетического фурье-спектра действительных дискретных сигналов на конечных интервалах |
| title_alt |
The invariance of current energy fourier spectrum of discrete real signals on finite intervals |
| description |
Digital spectral analysis of signals based on DFT has a number of advantages. However, the transition from analogue to digital methods and techniques is accompanied by a number of undesirable effects. Signals in each subject area usually have their own specifics. Therefore, it is necessary to study these effects in applications of spectral Fourier analysis. Such research is important for three reasons. Firstly, DFT properties are accurate, have their own specificity and significantly differ from the properties of the Fourier transform of continuous signals. Secondly, signals in each subject area have their own specificity. Thirdly, researchers often have prevailing knowledge in some particular domain, rather than in the field of digital signal processing techniques. As a result, in practice, some of the processes and effects arising in applications of digital spectral analysis, unfortunately, escape the attention of researchers which can result in erroneous conclusions. The paper deals with the problems of measuring Fourier spectrum of signals in the base of discrete exponential functions. Methods and algorithms of sliding measurements of energy Fourier spectrum of signals on finite intervals were described. The invariance of current energy Fourier spectrum to moving discrete real signals (which are not periodic) were investigated. The authors identify a new effect of digital spectral analysis — the effect of non-invariance of the current energy Fourier spectrum. Theoretical and practical results of analysis of invariance of current energy Fourier spectrum of tonal components are shown.
The conducted studies allow us: — to see in a new light the measurement results on finite intervals of current Fourier spectrum and the current energy Fourier spectra of signals; — give a numerical estimate of the non-invariance of the current energy Fourier spectrum of real tonal components;— to increase the effectiveness of digital spectral analysis in its many applications, in particular, for solving the problems of detection and identification of hidden periodicities in such subject areas as radar, vibroacoustic diagnostics, passive sonar, biomedicine, etc. |
| publisher |
PE "Politekhperiodika", Book and Journal Publishers |
| publishDate |
2014 |
| url |
https://www.tkea.com.ua/index.php/journal/article/view/TKEA2014.1.15 |
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AT ponomarevva theinvarianceofcurrentenergyfourierspectrumofdiscreterealsignalsonfiniteintervals AT ponomarevaov theinvarianceofcurrentenergyfourierspectrumofdiscreterealsignalsonfiniteintervals AT ponomarevva invariantnostʹtekuŝegoénergetičeskogofurʹespektradejstvitelʹnyhdiskretnyhsignalovnakonečnyhintervalah AT ponomarevaov invariantnostʹtekuŝegoénergetičeskogofurʹespektradejstvitelʹnyhdiskretnyhsignalovnakonečnyhintervalah AT ponomarevva invarianceofcurrentenergyfourierspectrumofdiscreterealsignalsonfiniteintervals AT ponomarevaov invarianceofcurrentenergyfourierspectrumofdiscreterealsignalsonfiniteintervals |
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2025-09-24T17:30:45Z |
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2025-09-24T17:30:45Z |
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