Consider the filter y$($n$)=0\mathrm{.}9$ y$($n $-1)+$ bx$($n$)$ Determine b so that $|$H$(0)|=1.$ Determine the frequency at which $\backslash$H$($omega$)\backslash =1/$Squareroot$2.$ Is this filter lowpass, bandpass, or highpass? Repeat parts $($b$)$ and $($c$)$ for the filter y$($n$)=-0\mathrm{.}9$y$($n $-1)+0\mathrm{.}1$x$($n$).$