The Fourier Transform and Its ApplicationsThis text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other fourier transform books in its emphasis on applications. Bracewell applies mathematical concepts to the physical world throughout this text, equipping students to think about the world and physics in terms of transforms.The pedagogy in this classic text is excellent. The author has included such tools as the pictorial dictionary of transforms and bibliographic references. In addition, there are many excellent problems throughout this book, which are more than mathematical exercises, often requiring students to think in terms of specific situations or asking for educated opinions. To aid students further, discussions of many of the problems can be found at the end of the book. |
Contents
Groundwork | 5 |
3 | 22 |
Notation for Some Useful Functions | 55 |
Copyright | |
46 other sections not shown
Other editions - View all
Common terms and phrases
Abel transform amplitude antenna aperture distribution applied autocorrelation function Bracewell circuit coefficients complex components computed convolution theorem convolving corresponding cosine defined derivative diagram differential digits discrete discrete Fourier transform discrete Hartley transform electrical equal equation equivalent width example expression factor filter finite follows Fourier series Fourier transform Fractional Fourier Transform frequency func function f(x Gaussian given Hankel transform Hartley transform Hilbert transform III(x imaginary impulse response impulse symbol infinite input integral interpolation interval inverse Laplace transform limit linear mean multiplication notation optical origin output periodic function phase physical plane power spectrum problem pulse relation result sampling sequence Show signal sinc sinc² sine smoothing spaced spatial spectra symmetry theory tion trans transfer function transform pairs two-dimensional unit V₁(t values voltage wave waveform zero