Question

Using the commutative models for the polyphase interpolation and decimation filters, (a) draw the block diagram for the interpolation polyphase filter implementation for the case of $L=2$, and $H(z)=0.25+0.4 z^{-1}+0.5 z^{-2}$; (b) draw the block diagram for the decimation polyphase filter implementation for the case of $M=2$, and $H(z)=0.25+0.4 z^{-1}+0.5 z^{-2}+0.6 z^{-3}$.

   Using the commutative models for the polyphase interpolation and decimation filters,
(a) draw the block diagram for the interpolation polyphase filter implementation for the case of $L=2$, and $H(z)=0.25+0.4 z^{-1}+0.5 z^{-2}$;
(b) draw the block diagram for the decimation polyphase filter implementation for the case of $M=2$, and $H(z)=0.25+0.4 z^{-1}+0.5 z^{-2}+0.6 z^{-3}$.

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Digital Signal Processing: Fundamentals and Applications

Digital Signal Processing: Fundamentals and Applications

Lizhe Tan, Jean… 3rd Edition

Chapter 11, Problem 10

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25+0.4 z^{-1}+0.5 z^{-2}$, we can start by splitting the filter into two polyphase components. The first component will have the even-indexed coefficients, and the second component will have the odd-indexed coefficients. The polyphase components can be represented Show more…

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Using the commutative models for the polyphase interpolation and decimation filters, (a) draw the block diagram for the interpolation polyphase filter implementation for the case of $L=2$, and $H(z)=0.25+0.4 z^{-1}+0.5 z^{-2}$; (b) draw the block diagram for the decimation polyphase filter implementation for the case of $M=2$, and $H(z)=0.25+0.4 z^{-1}+0.5 z^{-2}+0.6 z^{-3}$.

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