A given piece of hardware can generate filters with the following generic transfer function:

\[H(z)=\frac{\delta_{0}+\delta_{1} z^{-1}-\delta_{2} z^{-1} f(z)}{1-\left(1+m_{1}\right) z^{-1}-m_{2} z^{-1} f(z)}\]

where \(f(z)=1 /\left(1-z^{-1}\right)\). Design the filter so that is has unit gain at DC and two zeros at \(\omega=\pi\).