A note on the mathematical modeling of power amplifier/loudspeaker nonlinearity in acoustic echo cancellers

In this paper a new simple, three-parameter nonlinear mathematical model is proposed to represent the nonlinear characteristics of the power amplifier/loudspeaker nonlinearity in acoustic echo cancellers. The three parameters of the model are directly related to three distinct different sections of the nonlinear characteristic. The model and its first derivatives are continuous and stretch over the full range of input amplitudes. Using this model in conjunction with a conventional linear adaptive filter, the design of computationally efficient acoustic echo cancellers would be feasible.