Ear Modeling and Auditory Transform

Jack Xin, University of Texas at Austin

A class of nonlinear nonlocal dispersive PDEs are developed to model the nonlinear vibration patterns in the inner ear as response to multi-frequency sound input. Nonlinear interaction at different frequencies causes sound masking phenomenon essential in sound compression and processing. Structure of PDE solutions in the linear regime motivates an explicitly invertible transform with built-in auditory filter characteristics. Properties and examples of discrete versions of such auditory transforms will be shown.