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Publications [#287134] of Ingrid Daubechies

Papers Published

  1. Daubechies, I, Wavelet transform, time-frequency localization and signal analysis, IEEE Transactions on Information Theory, vol. 36 no. 5 (1990), pp. 961-1005 [doi]
    (last updated on 2017/12/14)

    Two different procedures for effecting a frequency analysis of a time-dependent signal locally in time are studied. The first procedure is the short-time or windowed Fourier transform; the second is the wavelet transform, in which high-frequency components are studied with sharper time resolution than low-frequency components. The similarities and the differences between these two methods are discussed. For both schemes a detailed study is made of the reconstruction method and its stability as a function of the chosen time-frequency density. Finally, the notion of time-frequency localization is made precise, within this framework, by two localization theorems.
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