Find a $2^{\text {nd }}$-order system which meets all of the following constraints. Describe your design process. Provide a difference equation (with real coefficients) for your system, and provide a list of the $a_{1}, a_{2}, b_{0}, b_{1}, b_{2}$ coefficients. Provide a plot of the gain (in $\mathrm{dB}$ ) of the system versus frequency. - The filter must be stable. - The filter must completely reject $f=0.10$ cycles/sample. - The filter must provides a clear frequency-response peak at approximately $f=0.30$ cycles $/ \mathrm{sample}$. - The filter must have a DC gain of $1.0(0 \mathrm{~dB})$.

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