Equalization of nonlinear systems modeled using the burgers equation

This paper describes a model-based corrector for distortions due to propagation of acoustic waveforms in air in a cylindrical waveguide at high sound pressure levels. The nonlinear distortions are modeled using the Burgers' wave propagation model, accounting for dissipation and boundary layer dispersion effects. The corrector was designed to mitigate these distortions in signals obtained from predefined distances in the waveguide. This compensator is derived from the Burgers' model and is independent of the stimulus used. Results demonstrating a substantial reduction in the intermodulation distortion and harmonic distortion in a specific frequency band of interest over a multitude of test input stimuli are included in this paper.