Lecture 14_winter_2012

Lecture 14_winter_2012 - Digital Speech Processing Lecture...

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1 Digital Speech Processing— Lecture 14 Linear Predictive Coding (LPC)-Lattice Methods, Applications
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2 Prediction Error Signal H(z) Gu(n) s(n) 1 1 1 1 1 1 1 1 1 1. Speech Production Model ( ) ( ) ( ) ( ) ( ) ( ) 2. LPC Model: ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 3. LPC Error Model: ( ) ( ) ( ) α α α = = = = = + = = = = = = = = % p k k p k k k p k k p k k k k s n a s n k Gu n S z G H z U z a z e n s n s n s n s n k E z A z z S z S z A z E z 1 1 ( ) ( ) ( ) α = = = + p k k p k k z s n e n s n k A(z) s(n) e(n) 1/A(z) e(n) s(n) Perfect reconstruction even if a k not equal to α k
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