freq_resp_1st

Frequency Response of the First-Difference Filter

Figure 1: Magnitude and phase of the frequency response of the first difference filter. Below is a derivation of the analytical expression for the frequency response:

\(H(e^{j\hat\omega})=\sum\limits_{k=0}^M b_k e^{-j\hat\omega}=1-e^{-j\hat\omega}\)