مقایسهٔ روش‌ها

	تبدیل موجک مقطعی	همبستگی موجک
حوزه	سری‌های زمانی	سری‌های زمانی
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1998	1999
پدیدآور	Christopher Torrence	Christopher Torrence
نوع	Bivariate wavelet interaction	Multi-scale correlation and phase
منبع بنیادین	Torrence, C., & Compo, G. P. (1998). A practical guide to wavelet analysis. Bulletin of the American Meteorological Society, 79(1), 61–78.	Torrence, C., & Webster, P. J. (1999). Interdecadal changes in the ENSO–monsoon system. Journal of Climate, 12(8), 2679–2690.
نام‌های دیگر	XWT, Cross-spectrum wavelet	WTC, Wavelet coherency, Continuous wavelet coherence
مرتبط	1	1
خلاصه	The cross-wavelet transform (XWT) is a bivariate extension of the continuous wavelet transform that measures the joint time-frequency representation of two signals. Introduced by Torrence and Compo (1998) and applied extensively by Grinsted, Moore, and Jevrejeva (2004) to geophysical data, XWT reveals where two signals share common spectral power and the phase relationship between them at each time-frequency point. This is the natural generalization of classical cross-spectral analysis to the time-varying domain.	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.