Question: Repeat Exercise 9.9 for the lowpass analysis filter equal to [H_{0}(z)=z^{-3}-z^{-2}+z^{-1}+1 .] 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

\[H_{0}(z)=z^{-3}-z^{-2}+z^{-1}+1 .\]

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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