In Example 9.12, we could attempt to generalize the orthogonal realization of the LOT by allowing the matrix \(\mathbf{L}_{1}\) of Figure 9.45 to be a full matrix and design a simple biorthogonal filter. Will this solve the problem at hand? Justify your answer.

Transcribed Image Text:

Example 9.12. Show the two-band lapped-transform structure that realizes the filter bank with lowpass analysis filter Ho(z)=-23 +32 2 +321-1, (9.260) specifying the value of each coefficient in that structure. Determine the corresponding highpass analysis filter.