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
[email protected] 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
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Basic Problem
Signal Combinations
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Basic Problem
Deconvolution
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Basic Problem
Complex Cepstrum
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Basic Problem
Notations Used
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Real Cepstrum
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Real Cepstrum - Contd.
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Real Cepstrum for ASR
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Linear Combination - Illustration
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Liftering
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Cepstral Terminology
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Short Term Cepstrum
.
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Short Term Cepstrum - Contd.
[email protected] 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
[email protected] 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
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Speech Cepstrum
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Cepstrum and Pitch
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Cepstrum and Pitch (Noll)
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Liftering
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Liftering - Contd.
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Liftering - Contd.
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Complex Cepstrum
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Complex Cepstrum - Contd.
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Complex Cepstrum - Contd.
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Complex Cepstrum - Contd.
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Cepstral Smoothing - Some Points
[email protected] EE627 - Speech Signal Processing, Lecture 11/12
Homomorphic DeconvolutionThe Real Cepstrum
The Short Term CepstrumCepstral Pitch Determination
The Complex Cepstrum
Cepstral Smoothing - Some Points
[email protected] 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.
[email protected] EE627 - Speech Signal Processing, Lecture 11/12