Post on 31-May-2020
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
EE627 - Speech Signal ProcessingLecture 11/12 : Cepstral Analysis Techniques for
Speech Recognition
R. Hegde
Dept. of Electrical Engg.
IIT Kanpur
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Outline
1 Homomorphic Deconvolution
2 The Real Cepstrum
3 The Short Term Cepstrum
4 Cepstral Pitch Determination
5 The Complex Cepstrum
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Basic Problem
Signal Combinations
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Basic Problem
Deconvolution
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Basic Problem
Complex Cepstrum
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Basic Problem
Notations Used
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Real Cepstrum
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Real Cepstrum - Contd.
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Real Cepstrum for ASR
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Linear Combination - Illustration
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Liftering
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Cepstral Terminology
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Short Term Cepstrum
.
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Short Term Cepstrum - Contd.
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Short Term Cepstrum and Windowing
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Short Term Cepstrum and Windowing
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Speech Cepstrum
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Cepstrum and Pitch
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Cepstrum and Pitch (Noll)
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Liftering
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Liftering - Contd.
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Liftering - Contd.
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Complex Cepstrum
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Complex Cepstrum - Contd.
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Complex Cepstrum - Contd.
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Complex Cepstrum - Contd.
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Cepstral Smoothing - Some Points
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Cepstral Smoothing - Some Points
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
References
Deller et. al.
Discrete Time Processing of Speech Signals.
Wiley.
Rabiner and Juang.
Fundamentals of Speech Recognition.
Prentice Hall.
rhegde@iitk.ac.in EE627 - Speech Signal Processing, Lecture 11/12