Research about source separation and source localization bynonlinear array signal processing based on quadratic kernel

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We studied source separation and source localization by nonlinear microphone array signal processing using higher dimensional map with kernels, and successfully developed high-resolution source localization using quadratic or higher-degree mapping. We showed that the covariance analysis of the mapping corresponds to the moment analysis with the order twice of the degree of the map, and the statistical property of the analysis in the source localization is clarified. It is ascertained that the proposed source localization has higher resolution and is more computationally efficient than the conventional methods.