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Theoretically, multiwavelets hold significant advantages over standard wavelets, particularly for solving more complicated problems, and hence are of great interest. Meeting the needs of engineers and mathematicians, this book provides a comprehensive overview of multiwavelets. The author presents the theory of wavelets from the viewpoint of general multiwavelets, which includes scalar m-band and standard wavelets as special cases, provides a more coherent approach, and provides alternative proofs and new insights even for standard wavelets. The treatment includes complete MATLAB routines that allow readers to implement and experiment with multiwavelet algorithms.

Wavelets (Mathematics).

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Functional analysis. --- Wavelets (Mathematics).

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For many years, digital signal processing has been governed by the theory of Fourier transform and its numerical implementation. The main disadvantage of Fourier theory is the underlying assumption that the signals have time-wise or space-wise invariant statistical properties. In many applications the deviation from a stationary behavior is precisely the information to be extracted from the signals. Wavelets were developed to serve the purpose of analysing such instationary signals. The book gives an introduction to wavelet theory both in the continuous and the discrete case. After developing

Wavelets (Mathematics) --- Geology --- Geomathematics --- Mathematical geology --- Wavelet analysis --- Harmonic analysis --- Mathematics. --- Wavelets (Mathematics).

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Fourier analysis --- Harmonic analysis --- Sampling (Statistics) --- Tomography --- Wavelets (Mathematics) --- 519.65 --- Analysis, Fourier --- Mathematical analysis --- 519.65 Approximation. Interpolation --- Approximation. Interpolation --- Wavelet analysis --- Body section radiography --- Computed tomography --- Computer tomography --- Computerized tomography --- CT (Computed tomography) --- Laminagraphy --- Laminography --- Radiological stratigraphy --- Stratigraphy, Radiological --- Tomographic imaging --- Zonography --- Cross-sectional imaging --- Radiography, Medical --- Geometric tomography --- Random sampling --- Statistics of sampling --- Statistics --- Mathematical statistics --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis