Browse Publications Technical Papers 2019-01-1533
2019-06-05

A Comparison of Near-Field Acoustical Holography Methods Applied to Noise Source Identification 2019-01-1533

Near-field Acoustical Holography (NAH) is an inverse process, in which sound pressure measurements made in the near-field of an unknow sound source can be used to reconstruct the sound field so that source locations to be clearly identified. NAH was originally based on performing spatial transforms of arrays of measured pressures and then processing the data in the wavenumber domain, a procedure that entailed the use of very large microphone arrays to avoid spatial truncation effects. Over the last twenty years, a number of different NAH methods have been proposed that can reduce or avoid spatial truncation issues: for example, Statistically Optimized Near-field Acoustical Holography (SONAH), various Equivalent Source Methods (ESM), etc. Then, more recently, with the motivation of facilitating the measurement process, the principles of Compressive Sensing (CS) have been introduced in several studies to allow sound fields to be reconstructed based on a relatively small number of microphone measurements (thus making holographic measurements more practical and inexpensive), and these studies have shown promising results when used to identify sound source locations. In the present work, the ESM, based on an assumed monopole source distribution, was chosen as the NAH method to be studied, and the inverse problem required to identify the equivalent source strengths was solved by using two different CS algorithms: Wideband Acoustical Holography (WBH) and convex optimization (CVX). Several different source types were chosen to test the reconstruction capabilities of the two algorithms: in particular, concentrated point source distributions, and spatially-extended sources such as baffled plate vibration. In the present work, sound fields generated by the different simulated sound sources were reconstructed by using SONAH, WBH and CVX, to identify the strengths and weaknesses of the various procedures. Based on the outcome of that study, these three methods were then used to reconstruct the sound field generated by a loudspeaker and a diesel engine: in all the experiments, SONAH was used as a reference against which the reconstruction results of WBH and CVX were compared.

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