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A digital filter has following transfer function. Identify the type of filter and justify it.
written 5.6 years ago by gravatar for teamques10 teamques10 ★ 65k •   modified 4.6 years ago

$H(z)=\frac{1}{(1+0.9z^(-1)}$
discrete time signal processing
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written 5.6 years ago by gravatar for teamques10 teamques10 ★ 65k •   modified 5.6 years ago

$Put z=e^{jω}$

$H(ω)=\frac{b}{1-0.9e^{-jω}}$

$H(ω)=\frac{1}{((1-0.9 cos⁡w )-j0.9sin w}$

w H(w)
0 0.52
0.25π 0.55
0.5π 0.74
0.75π 1.28
π 10

enter image description here

From pass band it is observed that the given filter is “High pass filter”

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