Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets
Claude Gasquet, Patrick Witomski - Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets
Published: 1998-11-06 | ISBN: 0387984852, 1461272114 | PDF | 442 pages | 8.35 MB
The object of this book is two-fold – on the one hand it conveys to mathematical readers a rigorous presentation and exploration of the important applications of analysis leading to numerical calculations. On the other hand, it presents physics readers with a body of theory in which the well-known formulae find their justification. The basic study of fundamental notions, such as Lebesgue integration and theory of distribution, allow the establishment of the following areas: Fourier analysis and convolution Filters and signal analysis time-frequency analysis (gabor transforms and wavelets). The whole is rounded off with a large number of exercises as well as selected worked-out solutions.