Calcolatore Distorsione Armonica Totale — Formula
## FFT Frequency Resolution
The FFT converts time-domain data into frequency-domain bins. The resolution depends on how long you observe the signal.
### Formulas
**Frequency Resolution = Sample Rate / FFT Size**
**Time Window = FFT Size / Sample Rate**
**Useful Bins = FFT Size / 2 + 1** (for real signals)
### Trade-off
Better frequency resolution requires longer observation windows. This is the time-frequency uncertainty principle.
- Larger FFT = finer frequency resolution but slower updates
- Smaller FFT = coarser resolution but faster updates
The FFT converts time-domain data into frequency-domain bins. The resolution depends on how long you observe the signal.
### Formulas
**Frequency Resolution = Sample Rate / FFT Size**
**Time Window = FFT Size / Sample Rate**
**Useful Bins = FFT Size / 2 + 1** (for real signals)
### Trade-off
Better frequency resolution requires longer observation windows. This is the time-frequency uncertainty principle.
- Larger FFT = finer frequency resolution but slower updates
- Smaller FFT = coarser resolution but faster updates
Esempio Risolto
1024-point FFT at 48 kHz sampling rate.
- Resolution: 48,000 / 1,024 = 46.875 Hz
- Useful bins: 1024/2 + 1 = 513
- Max frequency: 48,000 / 2 = 24,000 Hz
- Time window: 1024/48,000 x 1000 = 21.33 ms