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Fourier Analysis and Applications

Claude Gasquet, Patrick Witomski
This applied mathematic text focuses on Fourier analysis, filters and signal analysis. Scientists and engineers are confronted by the necessity of using classical mathematics such as Fourier transforms, convolution, distribution and more recently wavelet analysis in all areas of modelling. The object of this book is two-fold - on the one hand to convey to the mathematical reader a rigorous presentation and exploration of the important applications of analysis leading to numerical calculations and on the other hand to convey to the physics reader a body of theory in which the well-known formulae find their justification. The reader will find the basic study of fundamental notions such as Lebesgue integration and theory of distribution and these permit the establishment of the following areas: Fourier analysis and convolution Filters and signal analysis time-frequency analysis (gabor transforms and wavelets). The book is aimed at engineers and scientists and contains a large number of exercises as well as selected worked out solutions.
Autor: Gasquet, Claude Witomski, Patrick
EAN: 9780387984858
Sprache: Englisch
Seitenzahl: 442
Produktart: Gebunden
Verlag: Springer Springer, Berlin Springer New York
Untertitel: Filtering, Numerical Computation, Wavelets
Schlagworte: Fourier-Analysis Fourier transform signal analysis Signal Wavelet analysis convolution discrete Fourier transform modeling Gabor transform
Größe: 234
Gewicht: 826 g
Übersetzer: Ryan, R.