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Wave Front Reconstruction Using the Spatial Covariance Matrices Method

This paper describes a sound-filed reproduction method called a Co-Variance Method (CVM) that reproduces a spatial covariance matrix of the original sound field without information of sound-source locations. Multi-channels of reproduced sound in a listening area were made from the recorded signals in the original field according to the adoptively optimized process where the quasi-Newton method is utilized in order to get the solution. Numerical simulation results confirmed that the method works well in principle, and consequently reconstructed wavefronts are similar to the original ones. Relationship between the number of microphones or loudspeakers and reproduction errors are investigated. It is shown that the phase error diminishes as the number of pairs for microphones and loudspeakers increases more than that of positions set for the covariance analysis.

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