DSPRelated.com
Free Books
   Free Books    Introduction to Digital Filters  

Amplitude Response



Definition. The amplitude response $ G(\omega)$ of an LTI filter is defined as the magnitude (or modulus) of the (complex) filter frequency response $ H(e^{j\omega T})$, i.e.,

$\displaystyle \zbox {G(\omega) \isdefs \left\vert H(e^{j\omega T})\right\vert.} $

Another common name for the amplitude response is magnitude frequency response.

The real-valued amplitude response $ G(\omega)$ specifies the amplitude gain that the filter provides at each frequency $ \omega T \in[-\pi,\pi]$.

Next Section:
Phase Response
Previous Section:
Frequency Response