Overview of the 5pt Averager Filter

Difference Equation: \(y[n]= 0.2x[n]+0.2x[n-1]+0.2x[n-2]+0.2x[n-3]+0.2x[n-4]\)
Impulse Repsonse:
Click on the equation for a plot of the waveform
\(h[n]= 0.2\delta[n]+0.2\delta[n-1]+0.2\delta[n-2]+0.2\delta[n-3]+0.2\delta[n-4]\)
Frequency Response:
Click on the equation for a derivation of the frequency response and a plot of the magnitude and phase
\(H(\hat\omega)=(\frac{sin(\hat\omega5/2)}{5sin(\hat\omega/2)}) e^{-j2\hat\omega}\)