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Design a linear phase FIR low pass filter of length 7 and cutoff frequency | rad | sec. Using hamming window.
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written 4.7 years ago by | • modified 4.7 years ago |
Solution:
Given: M = 7
$w-c = |rad | sec$
Step 1: Obtain desired $T.F. H_d(w)$
$\alpha=\frac{m-1}{2}$
$\alpha=\frac{7-1}{2}=3$
$\therefore H_{d}(\omega)=\left\{\begin{array}{l}{1 e^{j 3 \omega}} \\ {0}\end{array}\right.$
$0 \leq|\omega| \leq 1$ $|\omega| \geq 1$
Step 2: Obtain hd(n)
$h_{d}(n)=\frac{1}{2 \pi} \int_{-\pi}^{\pi} H_{d}\left(e^{j w}\right) e^{j \omega n} d \omega$
$=\frac{1}{2 \pi} \int_{-1}^{1} 1=e^{-j …