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Table 4 FFT types for canonic REFFT

From: Canonic FFT flow graphs for real-valued even/odd symmetric inputs

 

P is odd, Q is odd

P is odd, Q is even

P is even, Q is odd

P is even, Q is even

 

P-point

Q-point

P-point

Q-point

P-point

Q-point

P-point

Q-point

#REFFT

1

1

2

1

1

2

1

1

#RFFT

\(\frac {Q-1}{2}\)

0

\(\frac {Q-2}{2}\)

0

\(\frac {Q-1}{2}\)

0

\(\frac {Q-2}{2}\)

0

#HFFT

0

\(\frac {P-1}{2}\)

0

\(\frac {P-1}{2}\)

0

\(\frac {P-2}{2}\)

0

\(\frac {P-2}{2}\)

\(\#\left (\frac {P}{2}\times 2\right)\)

0

0

0

0

0

0

1

0

\(\#\left (2\times \frac {Q}{2}\right)\)

0

0

0

0

0

0

0

1