Question: Repeat Exercise 9.9 for the lowpass analysis filter equal to [H_{0}(z)=frac{1}{4} z^{-5}+z^{-3}+z^{-2}+z^{-1}+2] Exercise 9.9 Consider a perfect reconstruction filter bank which satisfies the QMF condition,
Repeat Exercise 9.9 for the lowpass analysis filter equal to
\[H_{0}(z)=\frac{1}{4} z^{-5}+z^{-3}+z^{-2}+z^{-1}+2\]
Exercise 9.9
Consider a perfect reconstruction filter bank which satisfies the QMF condition, \(H_{1}(z)=H_{0}(-z)\), and has the following lowpass analysis filter:
\[H_{0}(z)=z^{-5}+5 z^{-3}+z^{-2}+6 z^{-1}+4 .\]
Design the stable synthesis filters.
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