A Sound Field Separation and Reconstruction Technique Based on Reciprocity Theorem and Fourier Transform

We show a method to separate the sound field radiated by a signal source from the sound field radiated by noise sources and to reconstruct the sound field radiated by the signal source. The proposed method is based on reciprocity theorem and the Fourier transform. Both the sound field and its gradient on a measurement surface are needed in the method. Evanescent waves are considered in the method, which ensures a high resolution reconstruction in the near field region of the signal source when evanescent waves can be measured. A simulation is given to verify the method and the influence of measurement noise on the method is discussed.

Patch nearfield acoustic holography combined with sound field separation technique applied to a non-free field

The conventional nearfield acoustic holography(NAH) is usually based on the assumption of free-field conditions, and it also requires that the measurement aperture should be larger than the actual source. This paper is to focus on the problem that neither of the above-mentioned requirements can be met, and to examine the feasibility of reconstructing the sound field radiated by partial source, based on double-layer pressure measurements made in a non-free field by using patch NAH combined with sound field separation technique. And also, the sensitivity of the reconstructed result to the measurement error is analyzed in detail. Two experiments involving two speakers in an exterior space and one speaker inside a car cabin are presented. The experimental results demonstrate that the patch NAH based on single-layer pressure measurement cannot obtain a satisfied result due to the influences of disturbing sources and reflections, while the patch NAH based on double-layer pressure measurements can successfully remove these influences and reconstruct the patch sound field effectively.

Direct sound field separation method on holography surface

In order to simplify the process which aims at separating the coherent sources located at different sides of holography surface, a direct sound field separation method which only depends on the data of holography surface is proposed. Assume that the reconstruction surface is holography surface, according to the equivalent sources located at the spherical surface, there exists a relationship between the measured sound pressure and the calculated value based on equivalent source method. Then, the coherent sources are separated. Nmnerical simulation an- alyzes the separation results when the interference sources are pulsating ball source and simply supported steel sheet with forced oscillation, respectively. The separation method is validated by experiment with two loudspeakers. The results show that the proposed method has high accuracy to the two kinds of interference sources and high tolerate deviation.