1 | We can now apply the same idea recursively; chop off the lowest binary digit of k so as to derive a formula for each FFT in terms of two more half the size. |
2 | Let C(N) be computational complexity of the FFT of size N |
3 | Let Tbutterfly = 2T+ + T* be the time to calculate fE and fO for one value of m- |
4 | Here T+ is time for a complex addition and T* the time for a complex multiplication. |
5 | We assume that complex number TN(m-) has been precalculated and is available by table lookup |
6 | Then C(N) = 2C(N/2) + (N/2) Tbutterfly |
7 | This can be solved as C(N) = NlogNTbutterfly/2 |