A mathematical model of cochlea is transformed into a applicable second-order difference cochlear model with bilinear transformation.Compared with the traditional cohlear model

the frequency response of new model are found to be quite consistent with the experimental data

especially the high frequency slope is much more improved.A new cochlear map and 3dB bandwidth characteristics for cochlear filter banks are obtained and presented

which will make applications of the cochlear model more quantitative and accurate.Due to simplicity of its structure and reality of its characteristics

it will be proved the model can be used effectively in speech processing system.