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math.NA2023★ 1 cited
Ridge detection for nonstationary multicomponent signals with time-varying wave-shape functions and its applications
Yan-Wei Su, Gi-Ren Liu, Yuan-Chung Sheu +1
We introduce a novel ridge detection algorithm for time-frequency (TF) analysis, particularly tailored for intricate nonstationary time series encompassing multiple non-sinusoidal…
math.PR2023
Gaussian Approximation for the Moving Averaged Modulus Wavelet Transform and its Variants
Gi-Ren Liu, Yuan-Chung Sheu, Hau-Tieng Wu
The moving average of the complex modulus of the analytic wavelet transform provides a robust time-scale representation for signals to small time shifts and deformation. In this wo…