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

H(z)=1(1+0.9z(1)

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Putz=ejω

H(ω)=b10.9ejω

H(ω)=1((10.9cosw)j0.9sinw

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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