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A Theoretical Analysis for Feedforward ANC System with State Equation Model

In this paper, a system architecture and its adaptive algorithm for feedforward ANC system are presented. The proposed system architecture consists of a multi-input / multi-output adaptive linear combiner and secondary source propagation space which is described by state equation model. Some theoretical discussions on equivalent system, cost function and optimal weight parameters are provided. Also an adaptive algorithm is derived based on steepest-descent method. Finally, by a numerical simulation example for noise attenuation in closed room, it can be found that the proposed architecture and algorithm work effectively.