The Fourier transform and its applications

This 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. This Electrical Engineering Text And Professional Reference Explains Transform Methods And How To Apply Them To Electrical Subsystems: Circuits, Antennas, Signal Processors, And Also To The Interconnecting Continuous-time Signals, Pulse Sequences, And Discrete Time Signals.--jacket. 1. Introduction -- 2. Groundwork -- 3. Convolution -- 4. Notation For Some Useful Functions -- 5. The Impulse Symbol -- 6. The Basic Theorems -- 7. Obtaining Transforms -- 8. The Two Domains -- 9. Waveforms, Spectra, Filters, And Linearity -- 10. Sampling And Series -- 11. The Discrete Fourier Transform And The Fft -- 12. The Discrete Hartley Transform -- 13. Relatives Of The Fourier Transform -- 14. The Laplace Transform -- 15. Antennas And Optics -- 16. Applications In Statistics -- 17. Random Waveforms And Noise -- 18. Heat Conduction And Diffusion -- 19. Dynamic Power Spectra -- 20. Tables Of Sinc X, Sinc[superscript 2] X, And Exp( -- [pi]x[superscript 2]) -- 21. Solutions To Selected Problems -- 22. Pictorial Dictionary Of Fourier Transforms -- 23. The Life Of Joseph Fourier. Ronald N. Bracewell. Includes Bibliographical References And Index.