In this problem, we will compare the two-band QMF and CQF...

In this problem, we will compare the two-band QMF and CQF designs. Given $H_0(z)=1-0.9 z^{-1}$. a. Design a two-band (i.e., $M=2$ ) QMF [Use Eq. (6.7)]. b. Design a two-band CQF for $L=8$ [Use Eq. (6.8)]. c. Consider the two-band QMF and CQF banks in Figure 6.28 with input signal $\quad s(n)=0.75 \sin (\pi n / 3)+0.5 \cos (\pi n / 6), n=0,1, \ldots, 6$. Compare the designs in (a) and (b) and check for the alias-free reconstruction in case of CQF. Give the delay values $d_1$ and $d_2$. d. Extend the two-band QMF design in part (a) to polyphase factorization [use Equations (6.9) and (6.10)]. What are the advantages of employing polyphase factorization?

In this problem, we will compare the two-band QMF and CQF designs. Given $H_0(z)=1-0.9 z^{-1}$.
a. Design a two-band (i.e., $M=2$ ) QMF [Use Eq. (6.7)].
b. Design a two-band CQF for $L=8$ [Use Eq. (6.8)].
c. Consider the two-band QMF and CQF banks in Figure 6.28 with input signal $\quad s(n)=0.75 \sin (\pi n / 3)+0.5 \cos (\pi n / 6), n=0,1, \ldots, 6$. Compare the designs in (a) and (b) and check for the alias-free reconstruction in case of CQF. Give the delay values $d_1$ and $d_2$.
d. Extend the two-band QMF design in part (a) to polyphase factorization [use Equations (6.9) and (6.10)]. What are the advantages of employing polyphase factorization?

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