Discrete Wavelet Transform
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.
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- Daubechies, I. (1992). Ten Lectures on Wavelets. SIAM. · DOI 10.1137/1.9781611970104
- Mallat, S. G. (1989). A theory of multiresolution signal decomposition: The wavelet representation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 11(7), 674–693. · DOI 10.1109/34.192463
- Walnut, D. F. (2002). An Introduction to Wavelet Analysis. Birkhäuser. · URL
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