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On-line SVD-based iterative method for signal recovery from nonuniform samples

On-line SVD-based iterative method for signal recovery from nonuniform samples

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An on-line iterative method for signal recovery from nonuniform samples is presented. This method uses the singular value decomposition (SVD) approach to estimate both the uniform samples and the error in their estimation. Two examples of its application are given.

Inspec keywords: singular value decomposition; signal sampling; signal reconstruction; iterative methods

Other keywords: singular value decomposition; signal recovery; estimation error; SVD-based iterative method; nonuniform samples; online iterative method

Subjects: Information theory; Interpolation and function approximation (numerical analysis); Digital signal processing; Signal processing and detection; Interpolation and function approximation (numerical analysis)

References

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      • Ferreira, P.J.S.G., Tomé, A.M.P., Vieira, J.M.N.: `On two recent approaches to the reconstruction of signals from nonuniformsamples', Proc. 1995 Workshop on Sampling Theory and Applications, 1995, Institute of Electronics and Computer ScienceJurmala, Latvia, p. 263–267.
    2. 2)
      • E.I. Plotkin , M.N.S. Swamy , Y. Yoganandam . A novel iterative method for the reconstruction of signals from nonuniformlyspaced samples. Sig. Process. , 2 , 203 - 213
    3. 3)
      • H.G. Feichtinger , K. Gröchenig , T. Strohmer . Efficient numerical methods in non-uniform sampling theory. Numerische Mathematik , 4 , 423 - 440
    4. 4)
      • A.I. Zayed . (1993) Advances in Shannon's sampling theory.
    5. 5)
      • D.J. Wingham . The reconstruction of a band-limited function and its Fourier transformfrom a finite number of samples at arbitrarylocations by singular value decomposition. IEEE Trans. Sig. Process. , 3 , 559 - 570
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