Asymptotic wavelet and Gabor analysis: extraction of instantaneous frequencies 论文
1992IEEE Transactions on Information Theory引用 585
Image and Signal Denoising MethodsBlind Source Separation TechniquesMathematical Analysis and Transform Methods
摘要
The behavior of the continuous wavelet and Gabor coefficients in the asymptotic limit using stationary phase approximations are investigated. In particular, it is shown how, under some additional assumptions, these coefficients allow the extraction of some characteristics of the analyzed signal, such as frequency and amplitude modulation laws. Applications to spectral line estimations and matched filtering are briefly discussed.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>