Window Function Bandwidth Calculator — Formula
## Window Function Bandwidth
Window functions reduce spectral leakage but widen the effective frequency resolution.
### Equivalent Noise Bandwidth (ENBW)
**ENBW = Bin Width x ENBW Factor**
ENBW factors for common windows:
- Rectangular: 1.00 (narrowest but worst leakage)
- Hamming: 1.36
- Hann: 1.50
- Blackman: 1.73
- Flat Top: 3.77 (best amplitude accuracy)
The choice of window balances frequency resolution against spectral leakage. No window is universally best.
Window functions reduce spectral leakage but widen the effective frequency resolution.
### Equivalent Noise Bandwidth (ENBW)
**ENBW = Bin Width x ENBW Factor**
ENBW factors for common windows:
- Rectangular: 1.00 (narrowest but worst leakage)
- Hamming: 1.36
- Hann: 1.50
- Blackman: 1.73
- Flat Top: 3.77 (best amplitude accuracy)
The choice of window balances frequency resolution against spectral leakage. No window is universally best.
Exemplo Resolvido
1024-point FFT at 48 kHz comparing window functions.
- Bin width: 48,000 / 1,024 = 46.875 Hz
- Rectangular ENBW: 46.875 x 1.0 = 46.88 Hz
- Hann ENBW: 46.875 x 1.5 = 70.31 Hz
- Blackman ENBW: 46.875 x 1.73 = 81.09 Hz