Revisit Example 6.4, now forcing the highpass zero at \(\omega_{\mathrm{p}_{1}}=2 \pi / 3\). Plot the magnitude responses before and after the transformation.

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Example 6.4. Consider the lowpass notch filter z22z+1 H(2) 0.004- 2-1.8z+0.96 (6.161) whose zeros are located at z = (2/2)(1 + j). Transform this filter into a highpass notch with a zero at frequency @p = /6 rad/sample. Plot the magnitude responses before and after the frequency transformation.