- #1
cscott
- 782
- 1
Input: sine wave at 10Hz, amplitude 1.
After the transform the plot has a spike at 10Hz with amplitude 0.5. If I vary the amplitude of the sine wave I get:
sine amp. - FT spike amp.
1 - 0.5
2 - 2
4 - 8
So it seems A' = A^2/2
Is this because power is proportional to A^2 and it is averaged over trough/crest so division by 2?
After the transform the plot has a spike at 10Hz with amplitude 0.5. If I vary the amplitude of the sine wave I get:
sine amp. - FT spike amp.
1 - 0.5
2 - 2
4 - 8
So it seems A' = A^2/2
Is this because power is proportional to A^2 and it is averaged over trough/crest so division by 2?