Overview of the First Difference Filter

Difference Equation: \(y[n]=x[n]-x[n-1]\)
Impulse Repsonse:
Click on the equation for a plot of the waveform
\(h[n]=\delta[n]-\delta[n-1]\)
Frequency Response:
Click on the equation for a derivation of the frequency response and a plot of the magnitude and phase
\(H(\hat\omega)=1-e^{-j\hat\omega}\)