An effective method for computing the nonlinear equation of modeling basilar membrane motion
Jun Yang, Changxin Fan · The Journal of the Acoustical Society of America · 1990
Many available methods for the investigation of the cochlea are only concerned with the linearized model; however, the experimental data show that this linearized assumption is not the case. In order to understand better the mechanism by which the cochlea processes speech, it is desirable to investigate as accurately as possible the response characteristics of the cochlea to speech that is reflected by the nonlinear equation. But, the complexity of solving this equation becomes a great obstacle. In this paper, a novel technique for computing the nonlinear equation in a two-dimensional cochlear model is shown. The solution of the nonlinear equation gives the displacement of the basilar membrane (BM). Two steps are adopted for solving the nonlinear equation: The first is to solve the linearized equation related to the BM displacement Z0(x,t), and the second is to seek the difference between the true displacement Z(x,t) of the BM and the obtained Z0(x,t). Summing the difference and Z0(x,t), therefore, the accurate displacement of the BM is obtained. This proposed scheme is easily implemented and is proved to be very effective.