Research Of Nonlinear Active Noise Control Based On Volterra Filter

Active noise control technology is an important part of nonlinear signal processing. Volterra filter has some characteristics that fit for building various systems of nonlinear model, so it can effectively apply for nonlinear active noise control. Therefore, nonlinear active noise control based on Volterra filter has become a hot topic in the field of nonlinear adaptive signal processing.In order to achieve low computational complexity effect of nonlinear active noise control, the paper research the structure of the filter thoroughly which is based on background and significance of the selected topic and the present study about nonlinear active noise control domestically and abroad based on Volterra filter. The new type structures of the nonlinear active noise controller are discussed by using Volterra filter and DCT technology. Based on the structure of the standard Volterra filter and extended pipelined second-order Volterra filter, corresponding new structures are proposed by the appropriate application of the DCT method. In addition, FXLMS algorithm of the DCT domain second-order nonlinear filter domain is improved through using NLMS algorithm and variable step size algorithms to further improve system performance, computer simulation proved their feasibility, effectiveness and advantage.The main results of the paper are as follows:1 Two kinds of DCT domain Volterra adaptive filter nonlinear active noise control structure, they are the DCT domain second-order and third-order Volterra filters structure for nonlinear active noise control. Their structures are simple and easy to implement, the systems also can reduce the severity of the computational burden and improve the convergence speed of filter.2 FXLMS algorithm of the proposed structure has insufficient because of exist of fixed-step.In order to improve the performance of the algorithm, the NLMS algorithm and variable step algorithm update the adaptive filter. Computer simulation results show that the NLMS algorithm and variable step size algorithm is effective and feasible in the new structure, and improve the convergence rate and guarantee low steady-state error and low computational complexity of systems.3 The DCT domain extended pipeline Volterra filter for nonlinear active noise control structure and improved structure are proposed. Under the guarantee of system performance, they further achieve the demand of low computational complexity for nonlinear active noise control.