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FFT 16


Fast Fourier Transform
The yellow boxes do the elementary DFT (Discrete Fourier Transform). They also are called "decimation butterflies" and perform four operations: one complex multiplication, one sign inversion and two complex additions.
·
Numbering of Input - Output:
0000 -- 0000
0001 -- 1000
0010 -- 0100
...
1110 -- 0111
1111 -- 1111
·
The image shown above is the first version of the image shown below:

That new version looks nicer, but the old version helps better to understand the numbering scheme.
The yellow boxes do the elementary DFT (Discrete Fourier Transform). They also are called "decimation butterflies" and perform four operations: one complex multiplication, one sign inversion and two complex additions.
·
Numbering of Input - Output:
0000 -- 0000
0001 -- 1000
0010 -- 0100
...
1110 -- 0111
1111 -- 1111
·
The image shown above is the first version of the image shown below:

That new version looks nicer, but the old version helps better to understand the numbering scheme.
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