مقایسهٔ روش‌ها

	MODWT	تبدیل موجک گسسته
حوزه	سری‌های زمانی	سری‌های زمانی
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1995	1992
پدیدآور	Donald B. Percival	Ingrid Daubechies
نوع	Non-decimated multiresolution decomposition	Hierarchical signal decomposition
منبع بنیادین	Percival, D. B., & Walden, A. T. (1995). Wavelet Methods for Time Series Analysis. Cambridge University Press.	Daubechies, I. (1992). Ten Lectures on Wavelets. SIAM.
نام‌های دیگر	MODWT, Stationary wavelet transform, Undecimated DWT	DWT, Daubechies wavelets, Haar wavelet
مرتبط	2	1
خلاصه	The 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.