Question: Develop a table similar to Table 10.1 for computing symmetric extensions of oddlength signals. Note in this case that for odd order the lowpass and

Develop a table similar to Table 10.1 for computing symmetric extensions of oddlength signals. Note in this case that for odd order the lowpass and highpass bands may not have the same lengths.

Table 10.1. Types of symmetric extension in the two-band analysis and synthesis

Table 10.1. Types of symmetric extension in the two-band analysis and synthesis process for both even order and odd order filter banks. Stage of the filtering process Before analysis filter After analysis filter Even polyphase component Odd polyphase component After upsampling After synthesis Symmetry Even order Odd order whole (0) / whole (N-1) whole (0)/whole (N-1) whole (0)/half ((N/2) - 1) half (0)/ whole ((N/2) - 1) whole (0) / whole (N-1) whole (0) / whole (N-1) half (0)/half (N-1) whole (0)/ whole (N-1) whole (0)/half ((N/2) - 1) half (0)/ whole ((N/2) - 1) whole (0) whole (N-1) half (0)/half (N-1)

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