कुल हार्मोनिक विरूपण कैलकुलेटरसूत्र

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
  • हल किया गया उदाहरण

    1024-point FFT at 48 kHz sampling rate.

    1. Resolution: 48,000 / 1,024 = 46.875 Hz
    2. Useful bins: 1024/2 + 1 = 513
    3. Max frequency: 48,000 / 2 = 24,000 Hz
    4. Time window: 1024/48,000 x 1000 = 21.33 ms