Window Function Bandwidth RechnerFormel

## 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.

Lösungsbeispiel

1024-point FFT at 48 kHz comparing window functions.

  1. Bin width: 48,000 / 1,024 = 46.875 Hz
  2. Rectangular ENBW: 46.875 x 1.0 = 46.88 Hz
  3. Hann ENBW: 46.875 x 1.5 = 70.31 Hz
  4. Blackman ENBW: 46.875 x 1.73 = 81.09 Hz