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ECE 797: Speech and Audio Processing Hand-out for Lecture #8 Thursday, March 11, 2004
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ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim

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Page 1: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim

ECE 797:Speech and Audio

ProcessingHand-out for Lecture #8

Thursday, March 11, 2004

Page 2: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 3: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 4: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 5: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 6: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 7: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 8: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 9: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 10: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 11: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 12: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 13: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 14: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 15: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 16: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 17: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 18: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 19: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 20: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim
Page 21: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim

Distorts convolutionalmodel

Distortion from values outside the window

Effects of windowing

Length of lifterNumber of polesModel order

Aliasing problemsAliasing problemsEffects of pitch

“Natural” but “muffled”

“Crisper” but more “mechanical”

Speech synthesis

Mixed-phaseMinimum-phasePhase properties

Pole-zero modelAll-pole modelRational function representation

Wider, spurious resonances

Sharp, smooth resonances

Parametric vsnon-parametric

Homomorphic Filtering

Linear Prediction

Page 22: ECE 797: Speech and Audio Processing - McMaster …ibruce/courses/ECE797_lecture8.pdfx[n] O ©1989, Figure 6.3 Canonical formulation of a homomorphic system. SOURCE: A. V. Oppenheim