Provides acoustical background necessary to understand the role of sound in speech communication. Analyzes constraints imposed by the properties of sound and human anatomy on speech production (sound production from airflow and filtering by the vocal tract); auditory physiology (transformation of acoustical waves in the air to mechanical vibrations of cochlear structures); and sound perception (spatial hearing, masking, and auditory frequency selectivity). The Acoustics of Speech and Hearing is an H-Level graduate course that reviews the physical processes involved in the production, propagation and reception of human speech. Particular attention is paid to how the acoustics and mechanics of the speech and auditory system define what sounds we are capable of producing and what sounds we can sense. Areas of discussion include: 1. the acoustic cues used in determining the direction of a sound source, 2. the acoustic and mechanical mechanisms involved in speech production and 3. the acoustic and mechanical mechanism used to transduce and analyze sounds in the ear
Mechanical vibrations and waves; simple harmonic motion, superposition, forced vibrations and resonance, coupled oscillations and normal modes; vibrations of continuous systems; reflection and refraction; phase and group velocity. Optics; wave solutions to Maxwell's equations; polarization; Snell's Law, interference, Huygens's principle, Fraunhofer diffraction, and gratings.
Introduction to fundamental concepts in "continuous" applied mathematics. Extensive use of demonstrational software. Discussion of computational and modelling issues. Nonlinear dynamical systems; nonlinear waves; diffusion; stability; characteristics; nonlinear steepening, breaking and shock formation; conservation laws; first-order partial differential equations; finite differences; numerical stability; etc. Applications to traffic problems, flows in rivers, internal waves, mechanical vibrations and other problems in the physical world.
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