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Publication Detail
The last furlong (2) data compression by wavelets
  • Publication Type:
    Journal article
  • Publication Sub Type:
    Journal Article
  • Authors:
    Davies AMC, Fearn T
  • Publication date:
    01/08/2013
  • Pagination:
    18, 20
  • Journal:
    Spectroscopy Europe
  • Volume:
    25
  • Issue:
    4
  • Status:
    Published
  • Print ISSN:
    0966-0941
Abstract
Wavelets are similar to the sine and cosine waves that are used in Fourier transformation. They have the same mathematical properties that allow them to be used to fit spectra but they are different in two important ways. Firstly, wavelets are not smooth curves, some have quite jagged features, and secondly, they are locally weighted. When researchers use FT for data compression, the FFT program has to compute a coefficient for the sine and cosine waves at each frequency. For wavelet compression, there is a similar FWT program but this has to compute coefficients for each wavelet at each level. So, there is a rather larger life for each spectrum. The lower levels tend to be more generalized, required for accurate reconstruction of the spectrum but less interesting.
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