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Transformasi wavelet diskret dengan tindanan maksimum (MODWT)×Transformasi Gelombang Diskrit×Kesepaduan Gelombang (Wavelet Coherence)×
BidangSiri MasaSiri MasaSiri Masa
KeluargaProcess / pipelineProcess / pipelineProcess / pipeline
Tahun asal199519921999
PengasasDonald B. PercivalIngrid DaubechiesChristopher Torrence
JenisNon-decimated multiresolution decompositionHierarchical signal decompositionMulti-scale correlation and phase
Sumber perintisPercival, D. B., & Walden, A. T. (1995). Wavelet Methods for Time Series Analysis. Cambridge University Press. link ↗Daubechies, I. (1992). Ten Lectures on Wavelets. SIAM. DOI ↗Torrence, C., & Webster, P. J. (1999). Interdecadal changes in the ENSO–monsoon system. Journal of Climate, 12(8), 2679–2690. DOI ↗
AliasMODWT, Stationary wavelet transform, Undecimated DWTDWT, Daubechies wavelets, Haar waveletWTC, Wavelet coherency, Continuous wavelet coherence
Berkaitan211
RingkasanThe maximal overlap discrete wavelet transform (MODWT) is a translation-invariant wavelet decomposition method that addresses a key limitation of the standard DWT: lack of shift invariance. Introduced by Percival and Walden (1995), MODWT applies the same wavelet filters at each scale without downsampling, producing an undecimated decomposition. Each detail and approximation coefficient array maintains the full length of the input signal, enabling both robust multi-scale analysis and translation-invariant feature extraction.The discrete wavelet transform (DWT) is a fast, computationally efficient method for decomposing signals into different frequency and time components using orthogonal or biorthogonal wavelet functions. Developed rigorously by Ingrid Daubechies (1992) and built on Mallat's multiresolution decomposition theory (1989), the DWT employs filter banks to recursively split a signal into approximation (low-frequency) and detail (high-frequency) components. It has become the foundation for signal processing applications ranging from compression to feature extraction.Wavelet coherence (WTC) is a normalized measure of correlation between two time series in the time-frequency domain, eliminating the amplitude-dependence of the raw cross-wavelet transform. Introduced by Torrence and Webster (1999) and formalized by Grinsted, Moore, and Jevrejeva (2004), WTC quantifies how tightly two signals are coupled at each time-frequency point, independent of their individual power levels. It is the wavelet analog of classical spectral coherence, revealing time-localized relationships across all frequencies.
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ScholarGateBandingkan kaedah: MODWT · Discrete Wavelet Transform · Wavelet Coherence. Dicapai 2026-06-15 daripada https://scholargate.app/ms/compare