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A digital filter has following transfer function. Identify the type of filter and justify it.

written 7.2 years ago by teamques10 ★ 70k

•   modified 6.2 years ago

$H(z)=\frac{1}{(1+0.9z^(-1)}$

discrete time signal processing

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written 7.2 years ago by teamques10 ★ 70k

•   modified 7.2 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

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

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