Transformasi Fourier: Béda antarrépisi
Konten dihapus Konten ditambahkan
Baris ka-7: | Baris ka-7: | ||
Lamun x(t) mangrupakeun hiji sinyal non-periodik. Mangka transformasi Fourier x(t), anu dilambangkeun ku <math>\mathcal{F}</math>, didefinisikeun ku |
Lamun x(t) mangrupakeun hiji sinyal non-periodik. Mangka transformasi Fourier x(t), anu dilambangkeun ku <math>\mathcal{F}</math>, didefinisikeun ku |
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:<math>X(\omega) = \mathcal |
:<math>X(\omega) = \mathcal {F}\{[x(t)]\} = \int \limits _{-\infty}^{\infty} x(t)\ e^{-j \omega t}\,dt </math> |
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==Catetan== |
==Catetan== |
Révisi nurutkeun 3 Juli 2008 01.42
- Artikel ieu sacara husus medar transformasi Fourier anu ngarobah fungsi dina doméin waktu ka doméin frékuénsi; pikeun jinis transformasi Fourier séjénna, tempo analisis Fourier sarta daftar transformasi anu patali jeung Fourier. Pikeun jéneralisasi, tempo transformasi Fourier fraksional sarta transformasi koninikal linier
Dina matématika, pikeun ngagéneralisasi réprésentasi dérét Fourier sahingga bisa lumaku ogé pikeun sinyal non-périodik, maka digunakeun Transformasi Fourier.
Definisi
Lamun x(t) mangrupakeun hiji sinyal non-periodik. Mangka transformasi Fourier x(t), anu dilambangkeun ku , didefinisikeun ku
Catetan
Tempo oge
- Dérét Fourier
- Transformasi Fourier gancang (Fast Fourier transform, FFT)
- Transformasi Laplace
- Transformasi Fourier diskrit
- Transformasi Fourier fraksional
- Transformasi kanonik liniér
- Transformasi sinus Fourier
- Transformasi Fourier laun (Short-time Fourier transform)
- Pamrosésan sinyal analog
Rujukan
- Fourier Transforms from eFunda - includes tables
- Dym & McKean, Fourier Series and Integrals. (For readers with a background in mathematical analysis.)
- K. Yosida, Functional Analysis, Springer-Verlag, 1968. ISBN 3-540-58654-7
- L. Hörmander, Linear Partial Differential Operators, Springer-Verlag, 1976. (Somewhat terse.)
- A. D. Polyanin and A. V. Manzhirov, Handbook of Integral Equations, CRC Press, Boca Raton, 1998. ISBN 0-8493-2876-4
- R. G. Wilson, "Fourier Series and Optical Transform Techniques in Contemporary Optics", Wiley, 1995. ISBN-10: 0471303577
- R. N. Bracewell, The Fourier Transform and Its Applications, 3rd ed., Boston, McGraw Hill, 2000.
Tumbu luar
- Tables of Integral Transforms at EqWorld: The World of Mathematical Equations.
- (en) Eric W. Weisstein, Fourier Transform di MathWorld.
- Fourier Transform Module by John H. Mathews
- Extending Laplace & Fourier Transforms by Dr. Shervin Erfani