Publications [#287129] of Ingrid Daubechies

Papers Published

1. Daubechies, I, Wavelet transform, time-frequency localization and signal analysis, vol. 25 n 13 (December, 1988), pp. 42
   (last updated on 2025/04/04)

   Abstract:
   Summary form only given, as follows. Two different procedures are studied by which a frequency analysis of a time-dependent signal can be effected, locally in time. 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.