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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]$.

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