Fast Fourier transforms
著者
書誌事項
Fast Fourier transforms
（Studies in advanced mathematics）
CRC Press, c1991
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注記
Disc system requirements: PC operating under DOS 2.1 or higher
Bibliography: p. 312-314
Includes index
内容説明・目次
内容説明
An introduction to Fourier Series, Fourier Transforms and FFTs. Topics covered include applications to vibrating strings, head conduction, removal of noise and frequency detection, filtering of Fourier Series and improvement of covergence.
目次
- Basic aspects of fourier series
- definition of fourier series
- examples of fourier series
- fourier series of real functions
- pointwise convergence of fourier series
- further aspects of convergence of fourier series
- fourier sine series and cosine series
- convergence of fourier sine and cosine series
- the discrete fourier transform (DFT)
- the fast fourier transform (FFT)
- some applications of fourier series
- fourier transforms
- properties of fourier transforms
- inversion of fourier transforms
- convolution - an introduction
- the convolution theorem
- an application of convolution in quantum mechanics
- filtering, frequency detection, and removal of noise
- summation kernals arising from poisson summation
- fourier optics
- fresnel diffraction
- fraunhofer diffraction
- circular apertures
- the phase transformation induced by a thin lens
- imaging with a single lens
- user's manual for fourier analysis software
- some computer programmes
- the schwarz inequality.
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