The wavelet transform, time-frequency localization and signal analysis

  title={The wavelet transform, time-frequency localization and signal analysis},
  author={Ingrid Daubechies},
  journal={IEEE Trans. Inf. Theory},
  • I. Daubechies
  • Published 1 September 1990
  • Physics
  • IEEE Trans. Inf. Theory
Two different procedures for effecting a frequency analysis of a time-dependent signal locally in time are studied. [] Key Method 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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