Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets (Texts in Applied Mathematics 30 Softcover reprint of the original 1st e

Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets (Texts in Applied Mathematics 30 Softcover reprint of the original 1st e

By: Claude Gasquet (author), Patrick Witomski (author), R. Ryan (translator)Paperback

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Description

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.

Contents

Signals and Systems.- Periodic Signals.- The Discrete Fourier Transform and Numerical Computations.- The Lebesgue Integral.- Spaces.- Convolution and the Fourier Transform of Functions.- Analog Filters.- Distributions.- Convolution and the Fourier Transform of Distributions.- Filters and Distributions.- Sampling and Discrete Filters.- Current Trends: Time-Frequency Analysis.- References.

Product Details

  • ISBN13: 9781461272113
  • Format: Paperback
  • Number Of Pages: 442
  • ID: 9781461272113
  • weight: 706
  • ISBN10: 1461272114
  • edition: Softcover reprint of the original 1st ed. 1999

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