कुल हार्मोनिक विरूपण कैलकुलेटर — सूत्र
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.हल किया गया उदाहरण
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