Transcript התמרת פורייה מהירה (FFT)

‫התמרת פורייה מהירה (‪)FFT‬‬
Fast Fourier Transform, developed by James Cooley and John Tukey
IEEE ASSP Magazine, Volume 1, Issue 4, Part 1, Oct. 1984 Pages:14 - 21
First Step in DIT
O – Denotes +
WN  e
 j 2 / N
Next Step in DIT
All Together …
2
WN 2  WN
2-Point DFT
8-Point FFT
8-Point FFT
“Butterfly”
Simplified Butterfly
Bit Reversal
Cooley-Tukey
N  PQ