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Discrete-Time Speech Signal Processing: Principles and Practice by Thomas F. Quatieri - Massachusetts Institute of Technology Lincoln Laboratory

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Chapter 5 Analysis and Synthesis of Pole-Zero Speech Models

5.1 Introduction

In Chapter 4, based on knowledge of speech production and the wave equation for sound propagation, we developed a continuous- and then a discrete-time transfer function for the relation between the acoustic pressure at the lips output and the volume velocity at the glottis. For the idealized voiced speech case, the transfer function contains poles that correspond to the resonances of the vocal tract cavity. Using a particular model of the glottal airflow, two additional poles were introduced outside the unit circle. The radiation load at the lips was represented by one zero inside the unit circle. More generally, the transfer function from the glottis to the lips also ...

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