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Design a high pass filter using Hamming window with a cut-off frequency of $1.2 \mathrm{rad} / \mathrm{sec}$ and number of , coefficients =9.
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Solution:

Here given $\Omega_c=1.2 \mathrm{rad} / \mathrm{sec}$.

As sampling frequency is not given

Assume $f_s=1 \mathrm{H}_2$.

$ \omega_c=\frac{2 \Omega_c}{f_s}=1.2 \mathrm{rad} / \text { sample. }\\ $

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$ \begin{aligned}\\ h_d[n] &=\frac{1}{2 \pi} \int_{-\pi}^\pi H_d(\omega) e^{j \omega n} d \omega \\\\ &=\frac{1}{2 \pi}\left[\int_{-\pi}^{-1 \cdot 2} e^{j \omega n} d \omega+\left(\int_{1 \cdot 2}^{j …

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