## Mathematical Modeling and Signal Processing in Speech and Hearing SciencesThe aim of the book is to give an accessible introduction of mathematical models and signal processing methods in speech and hearing sciences for senior undergraduate and beginning graduate students with basic knowledge of linear algebra, differential equations, numerical analysis, and probability. Speech and hearing sciences are fundamental to numerous technological advances of the digital world in the past decade, from music compression in MP3 to digital hearing aids, from network based voice enabled services to speech interaction with mobile phones. Mathematics and computation are intimately related to these leaps and bounds. On the other hand, speech and hearing are strongly interdisciplinary areas where dissimilar scientific and engineering publications and approaches often coexist and make it difficult for newcomers to enter. |

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### Contents

1 | |

2 Speech Modeling | 45 |

3 Auditory Modeling | 67 |

4 Speech Recognition | 114 |

5 Blind Source Separation and Speech Enhancement | 141 |

Erratum | 189 |

190 | |

199 | |

### Other editions - View all

Mathematical Modeling and Signal Processing in Speech and Hearing Sciences Jack Xin,Yingyong Qi No preview available - 2016 |

Mathematical Modeling and Signal Processing in Speech and Hearing Sciences Jack Xin,Yingyong Qi No preview available - 2013 |

Mathematical Modeling and Signal Processing in Speech and Hearing Sciences Jack Xin,Yingyong Qi No preview available - 2013 |

### Common terms and phrases

algorithm amplitude approximate auditory basilar membrane Blind Source Separation BM displacement boundary condition called cepstral circular convolution cluster cochlea cochlear codebook codeword coefficients complex components computed convergence curves damping decibel define demixing denoted diagonal dimensional discrete discrete signal domain end end equation estimated example filter finite formula Fourier transform frame Frequency kHz function Gaussian glottis Hamming window harmonic solutions Hertz HMM model impaired ear impulse response input level integral inverse iteration length masking Matlab Matlab programs matrix maximum likelihood method minimize mixtures multiple noise nonlinear nonlocal normal ear ODAT output parameter peak plot pressure psychoacoustic random recover sampling sequence signal processing sound source signals spectral spectrogram speech recognition speech signals step threshold tone variable vector vocal fold vocal tract vowel wave z-transform zero