630F09_lec_graph091014

630F09_lec_graph091014 - ENEE630 F'09 Figures/Plots for...

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Unformatted text preview: ENEE630 F'09 Figures/Plots for 10/14/2009 Recall: Tree Structured Multiple-channel Filter Bank * Use 2-channel filter bank as a building block in each level of analysis or synthesis; * In each level, split one or both subband signals into two parts using a 2-channel filter bank. Questions: Under what conditions the overall system is free from aliasing? How about P.R.? Consider the following tree-structured filter bank -- only split the low-band signal in each level: Questions: Under what conditions the overall system is P.R.? Sketch the equivalent analysis/synthesis filter responses. 2 M. Wu: ENEE630 Advanced Signal Processing (Fall'09) 10/14/2009 [2] Figures from Gonzalez/ Woods DIP 3/e book website. Dynamic Range of Original Dynamic Range of Original and and Subband Subband Signals Signals 3 M. Wu: ENEE630 Advanced Signal Processing (Fall'09) 10/14/2009 [3] Recall: Matrix/Vector Form of DFT Recall: Matrix/Vector Form of DFT z { z(n) } Ù { Z(k) } n, k = 0, 1, …, N-1, W N = exp{ - j2 π / N } ~ complex conjugate of primitive N...
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630F09_lec_graph091014 - ENEE630 F'09 Figures/Plots for...

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