Signal reconstruction from non-uniform discrete-time signals with unknown locations
Abstract
This paper presents reconstruction algorithms for non-uniform discrete-time signals with unknown locations. Reconstruction errors of each method for various types of signals are given. Numerical modeling was made for linear trend, polynomial trend and periodic signal with uniform and normal distribution of time jitter.
About the Authors
S. .. Porshnev
ИРИТ-РТФ УрФУ; УрТИСИ ФГОБУ ВПО «СибГУТИ»
Russian Federation
Russian Federation
D. .. Kusaykin
УрТИСИ ФГОБУ ВПО «СибГУТИ»
Russian Federation
Russian Federation
References
1. Unser M. Sampling - 50 years after Shannon // Proceedings of the IEEE. 2000. V. 88, № 4. P. 569-587.
2. Unser M. Sampling: 60 Years After Shannon // Sixteenth International Conference on Digital Signal Processing, Santorini, Greece. 2009. P. 42.
3. Баевский Р.М., Иванов Г.Г., Чирейкин Л.В. и др. Анализ вариабельности сердечного ритма при использовании различных электрокардиографических систем // Вестник аритмологии. 2001. № 24. С. 67-95.
4. Feichtinger H.G., Grochenig K., Strohmer T. Efficient numerical methods in non-uniform sampling theory // Numerische Mathematik, 1995. № 69. P. 423-440.
5. Marvasti F. Recovery of signals from nonuniform samples using iterative methods // IEEE Transactions on signal processing. 1991. V. 39, № 4. P. 872-878.
6. Senay S. Signal reconstruction from nonuniform samples using prolate spheroidal wave functions: theory and application. Doctoral Dissertation, Pittsburgh. 2011. P. 117.
7. Selva J. Functionally weighted Lagrange interpolation of band-limited signals from nonuniform samples // IEEE Transactions on Signal Processing. 2009. V. 57, № 1. P.168-181.
8. Tuncer T. E., Serdaroglu B. Block-based methods for the reconstruction of finite-length signals from nonuniform samples // IEEE Transactions on Signal Processing. 2007. V. 55, № 2. P. 530-541.
9. Прохоров С. А. Прикладной анализ неэквидистантных временных рядов / Самар. гос. аэрокосм. ун-т. 2001. 375 с.
10. Browning J. A method of finding unknown continuous-time nonuniform sample locations of band-limited functions // Advanced Signal Processing Algorithms, Architectures, and Implementations XIV. 2004. V. 5559. P. 289-296.
11. Marziliano, P. Reconstruction of irregularly sampled discrete-time bandlimited signals with unknown sampling locations // IEEE Transactions on Signal Processing. 1999. V. 48, № 12. P. 3462-3471.
12. Калмыков С.А., Шокин Ю.И., Юлдашев З.Х. Методы интервального анализа. Новосибирск: Наука, 1981. 281 с.
13. Поршнев С.В., Кусайкин Д.В. Исследование точности методов восстановления дискретных сигналов, заданных на неравномерной временно́й сетке // В мире научных открытий. 2013. Т. 46, № 10, С. 261-279.
14. Бахвалов Н.С., Жидков Н.П., Кобельков Г.М. Численные методы: учебное пособие для вузов. М.: Наука, 1987. 598 с.
Review
For citations:
Porshnev S..., Kusaykin D... Signal reconstruction from non-uniform discrete-time signals with unknown locations. The Herald of the Siberian State University of Telecommunications and Information Science. 2014;(1):24-34. (In Russ.)
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