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Fourier Transforms
Astro193 March 30, 2015


Definitions
Some function f(t) then: "Forward"

"Reverse"

Temporal FT Spatial FT

f(t) sec <--> radians/sec f(x) meters <--> radians/m

The Fourier Transform and its Applications by Ronald N. Bracewell


Definitions
Some function f(t) then: "Forward"

"Reverse"

Temporal FT Spatial FT

f(t) sec <--> radians/sec f(x) meters <--> radians/m

Note no 2 factor
x = time --> seconds S frequency --> cycles/sec= Hz


Reversible?

What's this?


sinc function



Examples
Boxcar

Impulse