FFT

• In 1965 Cooley and Tukey showed that the FFT equation could be evaluated in O(n log n) operations, resulting in:

ki

n

k

i

ki

n

k

k

X

k

X

i

Y

~

1

)

2

/

(

0

~

1

)

2

/

(

0

]

1

2

[

]

2

[

]

[

w

w

w

å

å

-

=

-

=

+

+

=

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