Unverified50% confidenceFactExact time
Complex wavelets (such as Morlet and dual-tree complex wavelets) provide approximate shift invariance, and their phase information can be used for precise instantaneous frequency and phase analysis.
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50%
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Long-term
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10/18/2026
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UnverifiedThe Morlet wavelet, as a representative complex wavelet, has a frequency-domain response that exists only on the positive-frequency side, its phase and amplitude information is fully preserved, and no cross-term interference is introduced in energy computation, so the scalogram exhibits a smooth envelope.75% similarUnverifiedApplying the Hilbert transform to the real wavelet transform coefficients scale by scale approximately yields analytic wavelet coefficients, from which the instantaneous amplitude and phase can then be extracted.73% similarUnverifiedThe dual-tree complex wavelet implements an approximately analytic wavelet transform through two filter banks and performs excellently in image denoising and texture analysis.70% similarUnverifiedA study proposed converting the Fourier amplitude spectrum into a two-dimensional frequency-amplitude persistence image (FA-PI) for impact echo defect detection.68% similarUnverified识别隐含网格可通过二维傅里叶变换（2D FFT）寻找频域周期性峰值、自相关分析、或结合边缘检测（Sobel/Canny）与霍夫变换等图像频率分析方法实现67% similar
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