Benesty Fundamentals of Speech Enhancement

1. Auflage 2018
ISBN: 978-3-319-74524-4
Verlag: Springer Nature Switzerland
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 112 Seiten

Reihe: SpringerBriefs in Electrical and Computer Engineering

This book presents and develops several important concepts of speech enhancement in a simple but rigorous way. Many of the ideas are new; not only do they shed light on this old problem but they also offer valuable tips on how to improve on some well-known conventional approaches. The book unifies all aspects of speech enhancement, from single channel, multichannel, beamforming, time domain, frequency domain and time-frequency domain, to binaural in a clear and flexible framework. It starts with an exhaustive discussion on the fundamental best (linear and nonlinear) estimators, showing how they are connected to various important measures such as the coefficient of determination, the correlation coefficient, the conditional correlation coefficient, and the signal-to-noise ratio (SNR). It then goes on to show how to exploit these measures in order to derive all kinds of noise reduction algorithms that can offer an accurate and versatile compromise between noise reduction and speech distortion.

Jacob Benesty received his Master's degree in Microwaves from Pierre & Marie Curie University, France, in 1987, and his Ph.D. in Control and Signal Processing from Orsay University, France, in 1991. From January 1994 to July 1995, he worked at Telecom Paris University, France, on multichannel adaptive filters and acoustic echo cancellation. From October 1995 to May 2003, he was first a consultant and then a member of the technical staff at Bell Laboratories, Murray Hill, New Jersey (NJ), USA. In May 2003, he joined the University of Quebec, INRS-EMT, in Montreal, Canada, as a professor. His research interests include signal processing, acoustic signal processing, and multimedia communications. Dr Benesty received the 2001 Best Paper Award from the IEEE Signal Processing Society. He has co-authored multiple books with Springer and is the series editor for the 'Springer Topics in Signal Processing'.

Autoren/Hrsg.

Benesty, Jacob

Inhaltsverzeichnis

1;Abstract;6
2;Contents;7
3;1 Introduction;9
3.1;1.1 General Formulation of the Speech Enhancement Problem;9
3.2;1.2 Organization of the Work;10
3.3;References;11
4;2 Best Speech Enhancement Estimator in the Frequency Domain;12
4.1;2.1 Signal Model and Problem Formulation;12
4.2;2.2 Laws of Total Expectation and Total Variance;13
4.3;2.3 Best Estimator;14
4.4;2.4 Example with Gamma Distributions;18
4.4.1;2.4.1 Reformulation of the Problem and Approximation;18
4.4.2;2.4.2 Best Estimator;19
4.5;2.5 A Brief Study of the Best Quadratic Estimator;22
4.6;2.6 Generalization to the Multichannel Case;24
4.7;References;29
5;3 Best Speech Enhancement Estimator in the Time Domain;30
5.1;3.1 Signal Model and Problem Formulation;30
5.2;3.2 Best Estimator;32
5.3;3.3 Best Linear Estimator;38
5.4;3.4 Generalization to the Binaural Case;41
5.4.1;3.4.1 Problem Formulation;41
5.4.2;3.4.2 Best Estimator;44
5.4.3;3.4.3 Best Widely Linear Estimator;49
5.5;References;50
6;4 Speech Enhancement Via Correlation Coefficients;52
6.1;4.1 Signal Model and Problem Formulation;52
6.2;4.2 Linear Filtering and Correlation Coefficients;53
6.3;4.3 Optimal Filters;56
6.3.1;4.3.1 SPCC Between Filter Output and Desired Signal;56
6.3.2;4.3.2 SPCC Between Filter Output and Noise Signal;62
6.3.3;4.3.3 SPCC Between Filter Output and Filtered Desired Signal;66
6.3.4;4.3.4 Other Possibilities;70
6.4;References;70
7;5 On the Output SNR in Speech Enhancement and Beamforming;72
7.1;5.1 Signal Model and Problem Formulation;72
7.2;5.2 Linear Filtering, Output and Fullmode Input SNRs;73
7.3;5.3 Optimal Filters;79
7.3.1;5.3.1 Rank-One Speech Covariance Matrix;79
7.3.2;5.3.2 Rank-Deficient Speech Covariance Matrix;80
7.3.3;5.3.3 Full-Rank Speech Covariance Matrix;82
7.4;5.4 Application to Fixed and Superdirective Beamforming;84
7.5;References;88
8;6 Speech Enhancement from the Fullband Output SNR Perspective;89
8.1;6.1 Signal Model and Problem Formulation;89
8.2;6.2 Speech Enhancement with Gains;90
8.3;6.3 Determination of the Optimal Gains;93
8.3.1;6.3.1 Maximization of the Fullband Output SNR;93
8.3.2;6.3.2 Minimization of the Fullband Output SNR;96
8.4;6.4 Taking the Interframe Correlation Into Account;98
8.5;6.5 Generalization to the Multichannel Case;104
8.6;References;110
9;Index;111