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This volume explains how the recent advances in wavelet analysis provide new means for multiresolution analysis and describes its wide array of powerful tools. The book covers variations of the windowed Fourier transform, constructions of special waveforms suitable for specific tasks, the use of redundant representations in reconstruction and enhancement, applications of efficient numerical compression as a tool for fast numerical analysis, and approximation properties of various waveforms in different contexts.
Signal processing --- Image processing --- Wavelets (Mathematics) --- Mathematics --- Traitement du signal --- Traitement d'images --- Ondelettes --- Mathématiques --- Wavelet analysis --- Harmonic analysis --- Mathematics. --- Signal processing - Mathematics --- Image processing - Mathematics
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Algebraic geometry --- Wavelets (Mathematics) --- Ondelettes. --- Operator theory. --- Opérateurs, Théorie des. --- Functional analysis. --- Analyse fonctionnelle. --- Functional analysis --- Operator theory --- Wavelet analysis --- Harmonic analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations
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This innovative and in-depth book integrates the well-developed theory and practical applications of one dimensional and multidimensional multirate signal processing. Using a rigorous mathematical framework, it carefully examines the fundamentals of this rapidly growing field. Areas covered include: basic building blocks of multirate signal processing; fundamentals of multidimensional multirate signal processing; multirate filter banks; lossless lattice structures; introduction to wavelet signal processing.Multirate and Wavelet Signal Processing forms the basis for a graduate course
Signal processing --- Electric filters --- Wavelets (Mathematics) --- Traitement du signal --- Ondelettes --- Digital techniques --- Mathematics. --- Techniques numériques --- Mathématiques --- Wavelets (Mathematics). --- Techniques numériques --- Mathématiques --- Wavelet analysis --- Harmonic analysis --- Electric wave filters --- Electronic filters --- Wave filters, Electric --- Electric circuits --- Electric networks --- Signal theory (Telecommunication)
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Wavelets (Mathematics) --- Ondelettes --- 517.518.8 --- 519.6 --- 681.3 *G10 --- Approximation of functions by polynomials and their generalizations --- Computational mathematics. Numerical analysis. Computer programming --- Computerwetenschap--?*G10 --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.518.8 Approximation of functions by polynomials and their generalizations --- Wavelet analysis --- Harmonic analysis
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Time frequency analysis has been the object of intense research activity in the last decade. This book gives a self-contained account of methods recently introduced to analyze mathematical functions and signals simultaneously in terms of time and frequency variables. The book gives a detailed presentation of the applications of these transforms to signal processing, emphasizing the continuous transforms and their applications to signal analysis problems, including estimation, denoising, detection, and synthesis. To help the reader perform these analyses, Practical Time-Frequency Analysis
Signal processing --- Time-series analysis --- Wavelets (Mathematics) --- Frequency spectra --- Gabor transforms --- Mathematics --- Frequency spectra. --- Gabor transforms. --- Time-series analysis. --- Wavelets (Mathematics). --- Mathematics. --- Traitement du signal --- Série chronologique --- Ondelettes --- Mathématiques --- Spectra, Frequency --- Spectrum, Frequency --- Spectrum analysis --- Wavelet analysis --- Harmonic analysis --- Analysis of time series --- Autocorrelation (Statistics) --- Mathematical statistics --- Probabilities --- Transforms, Gabor --- Fourier transformations --- Signal processing - Mathematics
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Wavelets (Mathematics) --- 517.518.5 --- 517.518.8 --- 517.518.8 Approximation of functions by polynomials and their generalizations --- Approximation of functions by polynomials and their generalizations --- 517.518.5 Theory of the Fourier integral --- Theory of the Fourier integral --- Wavelet analysis --- Harmonic analysis --- Harmonic analysis. Fourier analysis --- Numerical approximation theory --- Mathematical control systems --- Computer science --- digitale signaalverwerking --- Fourieranalyse --- toegepaste wetenschappen --- golven (fysica)
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Numerical approximation theory --- Electronics --- elektronica --- Fourier Analysis --- Wavelets (Mathematics) --- Ondelettes --- Signal processing --- Mathematics --- 519.65 --- -Wavelets (Mathematics) --- 517.518.8 --- 519.6 --- Wavelet analysis --- Harmonic analysis --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication) --- Approximation. Interpolation --- Approximation of functions by polynomials and their generalizations --- Computational mathematics. Numerical analysis. Computer programming --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.518.8 Approximation of functions by polynomials and their generalizations --- 519.65 Approximation. Interpolation --- Fourier Analysis. --- Signal processing - Mathematics
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Biomedical engineering. --- Signal processing. --- Wavelets (Mathematics). --- Signal processing --- Wavelets (Mathematics) --- Biomedical engineering --- 621.395.38 --- 615.84 --- #TELE:SISTA --- 519.6 --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Wavelet analysis --- Harmonic analysis --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication) --- Clinical engineering --- Medical engineering --- Bioengineering --- Biophysics --- Engineering --- Medicine --- 621.395.38 Signalling and pulsing --- Signalling and pulsing --- Fysische middelen. Elektrotherapie. Radiotherapie. Laser. Radiologie --- Electronics --- Artificial intelligence. Robotics. Simulation. Graphics --- signaalanalyse --- medische beeldvorming
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Signal processing --- Wavelets (Mathematics) --- Mathematics --- 519.65 --- -Wavelets (Mathematics) --- 517.518.8 --- 681.3*G12 --- Wavelet analysis --- Harmonic analysis --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication) --- Approximation. Interpolation --- Approximation of functions by polynomials and their generalizations --- Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- Mathematics. --- 517.518.8 Approximation of functions by polynomials and their generalizations --- 519.65 Approximation. Interpolation --- 681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- Wavelets (Mathematics). --- Signal processing - Mathematics
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Powerful techniques have been developed in recent years for the analysis of digital data, especially the manipulation of images. This book provides an in-depth introduction to a range of these innovative, avante-garde data-processing techniques. It develops the reader's understanding of each technique and then shows with practical examples how they can be applied to improve the skills of graduate students and researchers in astronomy, electrical engineering, physics, geophysics and medical imaging. What sets this book apart from others on the subject is the complementary blend of theory and practical application. Throughout, it is copiously illustrated with real-world examples from astronomy, electrical engineering, remote sensing and medicine. It also shows how many, more traditional, methods can be enhanced by incorporating the new wavelet and multiscale methods into the processing. For graduate students and researchers already experienced in image processing and data analysis, this book provides an indispensable guide to a wide range of exciting and original data-analysis techniques.
Artificial intelligence. Robotics. Simulation. Graphics --- Sciences physiques --- Ondelettes --- Traitement du signal --- 681.5.016 <043> --- -Signal processing --- -Wavelets (Mathematics) --- Wavelet analysis --- Harmonic analysis --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication) --- Automatic control engineering. Control systems, techniques, equipment. Cybernetic and automation technology--?.016--Dissertaties --- Wavelets (Mathematics). --- 681.5.016 <043> Automatic control engineering. Control systems, techniques, equipment. Cybernetic and automation technology--?.016--Dissertaties --- Physical sciences --- Signal processing --- Wavelets (Mathematics) --- #KVIV:BB --- Science --- Data processing --- Mathematics --- Data processing. --- Mathematics. --- Informatique --- Mathématiques --- beeldanalyse --- Physical sciences - Data processing --- Signal processing - Mathematics --- Signal processing (not cas) --- Wavelets (not cas)
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