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A comparison of compressive equivalent source methods for distributed sources.

¹Hottinger Brüel & Kjær, Skodsborgvej 307, DK-2850 Nærum, Denmark.

The Journal of the Acoustical Society of America

|May 4, 2020

Summary

This summary is machine-generated.

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Sparse sound-field reconstruction methods using compressive sensing are effective for wide frequency ranges. Modal representations work well for distributed sources, but compact sources may benefit from basic methods.

Area of Science:

Acoustics
Signal Processing
Computational Physics

Background:

Sparse sound-field reconstruction methods, utilizing compressive sensing and the equivalent source method, are increasingly important for wide frequency range applications.
These methods require sound fields to be representable by sparse source-model amplitudes, which is challenging for distributed sources.

Purpose of the Study:

To provide an overview of methods supporting sparse representation of distributed sound sources.
To compare the performance of these methods using simulated measurements.

Main Methods:

Overview of sparse representation techniques for distributed sound sources.
Comparison of modal amplitude distribution methods versus basic sparse methods.
Performance evaluation using simulated acoustic measurements.

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Main Results:

Modal representations are effective when the true source distribution can be approximated by a few modes.
Performance can degrade for vibrating plates if source model size mismatches plate size or excitation is non-central.
Basic sparse methods without modes may be preferable when compact sources are present alongside distributed ones.

Conclusions:

Modal representations offer a viable approach for sparse sound-field reconstruction of distributed sources under certain conditions.
The choice of method depends on the nature of the sound source (distributed vs. compact) and its characteristics (e.g., plate vibration modes).
Careful consideration of source model parameters and excitation is crucial for accurate sound-field reconstruction.