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Engineering, 27.09.2021 19:20 finleymarch14

A digital filter is given by the following difference equationy[n] = x[n] βˆ’ x[n βˆ’ 2] βˆ’1/4y[n βˆ’ 2].(a) Find the transfer function of the filter.(b) Find the poles and zeros of the filter and sketch them in the z-plane.(c) Is the filter stable? Justify your answer based on the pole-zero plot.(d) Determine the filter type (i. e. HP, LP, BP or BS) based on the pole-zeroplot.

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A digital filter is given by the following difference equationy[n] = x[n] βˆ’ x[n βˆ’ 2] βˆ’1/4y[n βˆ’ 2].(a...
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