An array of microphones is used to record signals produced by an incident sound field. The objective is to reproduce, as closely as possible, the time histories of the recorded signals together with the direction of propagation of the sound wave producing the signals. It is shown that a very straightforward technique can be used to accomplish this. The approach taken relies on the construction of a matrix of linear filters which are derived by using a least squares technique. The matrix operates on a vector of recorded signals, and produces a vector of signals input to an array of acoustic sources used for reproducing the field.
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