Корично изображение Електронна книга

Fourier and Laplace transforms /

This 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. As a link between the various applications of these transforms the a...

Пълно описание

Други автори: Beerends, R. J., 1958-
Формат: Електронна книга
Език: English
Dutch
Публикувано: Cambridge ; New York : Cambridge University Press, 2003.
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Онлайн достъп: http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=312509
Подобни документи: Print version:: Fourier and Laplace transforms.
Съдържание:
  • I: Applications and foundations
  • 1. Signals and systems
  • 2. Mathematical prerequisites
  • II: Fourier series
  • 3. Fourier series: definition and properties
  • 4. The fundamental theorem of Fourier series
  • 5. Application of Fourier series
  • III: Fourier integrals and distributions
  • 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
  • IV: Laplace transforms
  • 11. Complex functions
  • 12. The Laplace transform: definition and properties
  • 13. Further properties, distributions, and the fundamental theorem
  • 14. Applications of the Laplace transform
  • V: Discrete transforms
  • 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.