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Draw a diagram of a lattice structure for an all-pole filter and explain it

Subject: Speech Processing

Topic: LPC and Parametric Speech Coding

Difficulty: Medium

1 Answer
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(i) The system transfer function can be represented as: $$ H(Z) = \frac{1}{1+ \sum_{k=1}^{N} b_k Z^{-k}} $$

The difference equation for this system is given by: $$ y(n) = - \sum_{k=1}^{N} b_k y(n-k) + x(n) $$

If interchanging the role of input and output, that is interchanging x(n) and y(n), …

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