Analysis of influence of sample frequency on quality of formation of quadrature component of analytical signal
DOI:
https://doi.org/10.15587/1729-4061.2013.9493Keywords:
analysis, sample, simulation, processing, transform, signal, requirements, frequency.Abstract
Despite the large number of publications on digital signal processing in systems of different appointment, up to date, when choosing the sample frequency of recorded oscillations, their authors refer to the Nyquist’s theorem (sampling theorem). This theorem is connected with the transform of the continuous signal in the sequence of its discrete values. It is assumed that the signal will be transmitted through the band-limited communication channel. However, until now the question of the impact of the frequency on the efficiency of the further digital processing remains open.The article studies the influence of the sample frequency on the efficiency of the digital signal processing applying the method of simulation. The research was performed on the example of formation of the quadrature component of the analytical signal by means of Hilbert and Hilbert-Huang transforms. For the first time we have assessed the quality of the formation of the quadrature component, depending on the sample frequency at various signal/ noise ratios. These results can be used in radio, radar, acoustic and seismic systems of different appointment.
References
- Bedrosian E. A Product theorem for Hilbert Transform [Teкст] / E. Bedrosian // Proceedings of the IEEE – 1963. – No.51. – Р. 868–869.
- Вайнштейн Л.А. Разделение частот в теории колебаний и волн [Текст]: Л.А. Ванштейн, Д.Е. Вакман. – М.: Наука, 1983. – 288 с.
- The Hilbert-Huang transform and its applications [Электронный ресурс] / Norden E. Huang, Samuel S.P. Shen. // World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck. Link, Singapore 596224. Режим доступа: http://en.pudn.com/downloads173/sourcecode/math/detail805586_en.html
- Huang N. E. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis [Teкст] / N.E. Huang, S. R. Long, M. C. Wu // Proc. R. Soc. London, Ser. A – 1998. – No.454. – Р. 903–995.
- Nuttall A. H. On the quadrature approximation to the Hilbert Transform of modulated signal A.H. [Teкст] / A.H. Nuttall // Proceedings of the IEEE. – 1966. – No.54. – Р. 1458–1459.
- Сергиенко А.Б. Цифровая обработка сигналов [Текст]: А.Б. Сергиенко. – СПб.: Питер, 2007. – с. 751
- Бендат Дж. Прикладной анализ случайных данных [Текст]: Дж. Бендат, А. Пирсол : пер. с англ. под ред. И.Н. Коваленко. – М.: Мир, 1989. – с.540
- Скляр Б. Цифровая связь. Теоретические основы и практическое применение [Текст]: Б. Скляр : пер. с англ. Е.Г. Грозы. – М.: Изд. дом Вильямс, 2003. – с. 1104
- Лайонс Р. Цифровая обработка сигналов [Текст]: Р. Лайонс: пер. с англ. /А.А. Бриттов – М.: ООО «Бином-Пресс», 2006. – с. 656
- Частота дискретизации [Электронный ресурс] / Режим доступа : http://digitalaudio.me/mbasics/digitalsound/20-vvedenie-v-digitalaudio-part1.html 18.11.2012
- Спектры и анализ [Текст]: А. А. Харкевич. – М.: Либроком, 2007. – с. 89
- Обработка сигналов в радиотехнических системах [Текст]: Под ред. А.П. Локошкина. – Л.: Изд-во Ленингр. ун-та, 1987. – с.400
- Акулиничев Ю.П. Теория электрической связи [Текст]: Ю.П. Акулиничев. – СПб.: Изд-во «Лань», 2010. – с. 240
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Copyright (c) 2014 Екатерина Эдуардовна Белоусова, Николай Савельевич Пастушенко, Ольга Николаевна Пастушенко
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