Repeat Exercise 6.11 using the bilinear transformation method and compare results from both exercises.

Exercise 6.11

Transform the continuous-time highpass transfer function given by

\[H(s)=\frac{s^{2}}{s^{2}+s+1}\]

into a discrete-time transfer function using the impulse-invariance transformation method with \(\Omega_{\mathrm{s}}=10 \mathrm{rad} / \mathrm{s}\). Plot the resulting analog and digital magnitude responses.