Abstract

The nearfield to farfield projection procedure here introduced has the following novel features. (1) The measured nearfield samples do not need to belong to a separable coordinate surface. (2) The number of samples can be as small as the theoretical number of degrees of freedom of the farfield, related to the dimensions of the source in wavelengths. (3) The samples do not need to belong to a regular grid. (4) If the projection is sought only within a limited angular sector, a further reduction of the number of measurement samples is possible. The technique is based on the identification from the measured data of an equivalent monopolar distribution of acoustic sources on a surface completely surrounding the radiator. The farfield is then straightforwardly computed. The identification is based on the pseudoinversion of the matrix representing the mapping of the equivalent sources into nearfield samples, which is obtained by resorting to the singular value decomposition of the matrix.

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