# The wavelet transform, time-frequency localization and signal analysis

@article{Daubechies1990TheWT, title={The wavelet transform, time-frequency localization and signal analysis}, author={Ingrid Daubechies}, journal={IEEE Trans. Inf. Theory}, year={1990}, volume={36}, pages={961-1005} }

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. >

## 6,521 Citations

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