Read more
Klappentext This textbook describes in detail the various Fourier and Laplace transforms that are used to analyze problems in mathematics! the natural sciences and engineering. These transforms decompose complicated signals into elementary signals! and are widely used across the spectrum of science and engineering. Applications include electrical and mechanical networks! heat conduction and filters. In contrast with other books! continuous and discrete transforms are given equal coverage. Zusammenfassung This 2003 textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. Inhaltsverzeichnis Preface; Introduction; 1. Signals and systems; 2. Mathematical prerequisites; 3. Fourier series: definition and properties; 4. The fundamental theorem of Fourier series; 5. Applications of Fourier series; 6. Fourier integrals: definition and properties; 7. The fundamental theorem of the Fourier integral; 8. Distributions; 9. The Fourier transform of distributions; 10. Applications of the Fourier integral; 11. Complex functions; 12. The Laplace transform: definition and properties; 13. Further properties, distributions, and the fundamental theorem; 14. Applications of the Laplace transform; 15. Sampling of continuous-time signals; 16. The discrete Fourier transform; 17. The fast Fourier transform; 18. The z-transform; 19. Applications of discrete transforms.
