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A Comparison of Signal Compression Methods by Sparse Solution of Linear Systems

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2486))

Abstract

This paper deals with the problem of signal compression by linearly expanding the signal to be compressed along the elements of an overcomplete dictionary. The compression is obtained by selecting a few elements of the dictionary for the expansion. Therefore, signal description is realized by specifying the selected elements of the dictionary as well as their coefficients in the linear expansion. A crucial issue in this approach is the algorithm for selecting, in correspondence of each realization of the signal, the elements of the dictionary to be used for the expansion. In this paper we consider different possible algorithms for basis selection and compare their performances in a practical case of speech signal.

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References

  1. Aase, S., Husoy, J., Skretting, K., Engan, K.: Optimized signal expansions for sparse representation. IEEE Trans. on Signal Processing 49 (2001) 1087–1096

    Article  Google Scholar 

  2. Natarajan, B.: Sparse approximate solutions to linear systems. SIAM J. Computing 24 (1995) 227–234

    Article  MATH  MathSciNet  Google Scholar 

  3. Rao, B., Delgado, K.: An affine scaling methodology for best basis selection. IEEE Trans. on Signal Processing 47 (1999) 187–200

    Article  MATH  Google Scholar 

  4. Vanderbei, R. J.: LOQO user’s manual-version 3.10. Technical Report SOR-97-08, Princeton University, Statistics and Operations Research (1997) Code available at http://www.princeton.edu~rvdb/

  5. Chen, S., Donoho, D., Saunders, M.: Atomic decomposition by basis pursuit. SIAM J. Scientific Computing 20 (1999) 33–61

    Article  MATH  MathSciNet  Google Scholar 

  6. Coifman, R., Wickerhauser, M.: Entropy-based algorithms for best basis selections. IEEE Trans. on Information Theory 38 (1992) 713–718

    Article  MATH  Google Scholar 

  7. Mallat, S., Zhang, Z.: Matching pursuit in a time-frequency dictionary. IEEE Trans. Signal Processing 41 (1993) 3397–3415

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© 2002 Springer-Verlag Berlin Heidelberg

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Mattera, D., Palmieri, F., Di Monte, M. (2002). A Comparison of Signal Compression Methods by Sparse Solution of Linear Systems. In: Marinaro, M., Tagliaferri, R. (eds) Neural Nets. WIRN 2002. Lecture Notes in Computer Science, vol 2486. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45808-5_16

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  • DOI: https://doi.org/10.1007/3-540-45808-5_16

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44265-3

  • Online ISBN: 978-3-540-45808-1

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