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Frequency Estimation beyond Nyquist Using Sparse Approximation Methods

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Computer Aided Systems Theory – EUROCAST 2011 (EUROCAST 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6927))

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Abstract

In this work Sparse Approximation methods for frequency estimation of complex exponentials in white Gaussian noise are evaluated and compared against classical frequency estimation approaches. We use a non-equidistant sampling scheme which allows reconstructing frequencies far beyond the Nyquist rate. The evaluation is done for signals composed of one single complex exponential or the sum of two complex exponentials. We show that for the latter case the SA methods outperform the classical approaches. Especially when only a small number of signal samples are available the performance gain becomes significant.

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© 2012 Springer-Verlag Berlin Heidelberg

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Onic, A., Huemer, M. (2012). Frequency Estimation beyond Nyquist Using Sparse Approximation Methods. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2011. EUROCAST 2011. Lecture Notes in Computer Science, vol 6927. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27549-4_61

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  • DOI: https://doi.org/10.1007/978-3-642-27549-4_61

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27548-7

  • Online ISBN: 978-3-642-27549-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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