Appendix C: Fourier Transforms

Definition of Fourier transform:

(C.1)images

Rayleigh’s energy theorem:

(C.2)images

Functions used in the Fourier transforms:

Dirac delta function:

(C.3)images

Sinc function:

(C.4)images

Unit step function:

(.5)images

Signum function:

(.6)images

Rectangular function:

(C.7)images

Triangular function:

(C.8)images

Properties of Fourier transform:

images

Fourier transforms:

images
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