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EE627 - Speech Signal Processing Lecture 11/12 : Cepstral ... · EE627 - Speech Signal Processing...

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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


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