The wavelet transform, time-frequency localization and signal analysis

By Ingrid Daubechies. 1990

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Luc Van Gool
2. Karlheinz Gröchenig
3. Yoshua Bengio
4. Lei Zhang
5. Dacheng Tao
6. Wangmeng Zuo
7. Kai Zhang
8. Yi Yang

Citations in the corpus

• Parallel Wavegan: A Fast Waveform Generation Model Based on Generative Adversarial Networks with Multi-Resolution Spectrogram (2019, methodology): “…multi-resolution STFT auxiliary loss ( L aux ) is represented as follows: In the STFT-based time-frequency representation of signals, there is a trade-off between time and frequency resolution; e.g., increasing window size gives higher frequency resolution while reducing temporal resolution [24].”
• Gabor Frames in Finite Dimensions (2013, background): “In the second half of the 20th century, the suggestion of Gabor, and in general the interplay of information density in time and in frequency, was studied extensively; see, for example, [23, 24, 32, 37, 59, 60, 61, 85].”
• Error Minimized Extreme Learning Machine With Growth of Hidden Nodes and Incremental Learning (2009, background): “Such computational hidden nodes include additive/radial basis function (RBF) hidden nodes, multiplicative nodes, fuzzy rules [11], fully complex nodes [12], [13], hinging functions [14], high-order nodes [15], ridge polynomials [16], wavelets [17], [18], Fourier series [19], etc.”
• Analyzing information flow in brain networks with nonparametric Granger causality (2008, background): “The wavelet transform provides time-frequency representation of a signal and is useful to analyze time-varying (nonstationary) processes (Daubechies, 1990; 1992; Percival and Walden, 2000).”
• Time-Frequency Analysis of Sj\"ostrand's Class (2004, background): “aves like an orthonormal expansion (with the exception that the coefficients are not unique). The existence and construction of Gabor frames for separable lattices Λ = αZd× βZd) is well understood (see [13,21,30,45]) and we may take the existence of Gabor frames with suitable g for granted. The expans”