Digital Signal Processing Chapter 7: Parametric Spectrum Estimation

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Application: Adaptive Equalization using the “Lattice Gradient” Structurea) adaptive equalizer using the conventional transversal structureb) decorrelation using the Lattice-Structure → fast convergence of the LMS algorithm.Lattice Structure Page 26
Page 1 and 2: transparencies - lecture: Digital S
Page 3 and 4: 7.2 Markov Process as an Example fo
Page 5 and 6: Past values x(k − 1), · · · ,x
Page 7 and 8: Conjugating all elements yields inI
Page 9 and 10: 7.4.2 The Principle of Orthogonalit
Page 11 and 12: 7.4 Linear Prediction (Overview)app
Page 13 and 14: 7.5 Levinson-Durbin Recursion∑A r
Page 15 and 16: ecursion for the predictive coeffic
Page 17 and 18: Levinson-Durbin Recursion• initia
Page 19 and 20: 7.6 The Lattice-Structure7.6.1 Anal
Page 21 and 22: Lattice Structure:• (r + 1)th sta
Page 23 and 24: 7.6.3 Minimal Phase - Stability•
Page 25: Br B q (0) = σ2 ∑q+1rγ rν=1a q
Page 31 and 32: 3. Burg Algorithm• ACF approach:
Page 33 and 34: Burg Algorithm• initialization: e
Page 35 and 36: • calculation of the power spectr
Page 37 and 38: example 2:non recursive synthesis f
Page 39 and 40: data reduction using LPC speech syn
Page 41 and 42: example 4:vowels ”e” and ”i

Digital Signal Processing Chapter 7: Parametric Spectrum Estimation

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