ECV Home

Frequency Response |H(f)| dB

Magnitude (dB) Cutoff(s)

Phase Response ∠H(f)

Phase (rad)

Impulse Response h[n]

Window w[n]

Window Method Design

The Window Method multiplies an ideal (infinite) impulse response hideal[n] with a finite-length window w[n] to produce a practical FIR filter:

h[n] = h_ideal[n] · w[n],   0 ≤ n ≤ N

The window shape controls the trade-off between stopband attenuation and transition bandwidth.

  • RectangularSharpest transition (~21 dB attenuation). High Gibbs ripple (~9%).
  • Hamming~42 dB attenuation. Good balance of ripple and transition width.
  • Blackman~74 dB attenuation. Wider transition band.
  • KaiserAdjustable via β parameter. Best flexibility.