A digital filter has the transfer function: $H(z) = \frac{1 + 2z^{-1}}{1 - \sqrt{2}z^{-1} + z^{-2}}$ Plot the poles and zeros on the z-plane. If the sampling frequency is 1kHz, what is the gain of the filter at 0Hz, 250Hz and 500Hz?
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The transfer function is given as H(z) = (1 + 2z^(-1)) / (1 + 2z^(-1)). Show more…
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