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A one-step patch near-field acoustical holography procedure.

Moohyung Lee¹, J Stuart Bolton

¹Ray W. Herrick Laboratories, School of Mechanical Engineering, Purdue University, 140 S. Intramural Drive, West Lafayette, Indiana 47907-2031, USA. leemoohy@ecn.purdue.edu

The Journal of the Acoustical Society of America

|October 12, 2007

Summary

A new one-step method simplifies patch near-field acoustical holography (NAH) for acoustic source reconstruction. This approach improves accuracy by combining sound field extension and source projection, overcoming limitations of traditional iterative techniques.

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Area of Science:

Acoustics
Signal Processing
Holography

Background:

Near-field acoustical holography (NAH) is used for acoustic source reconstruction.
Patch NAH mitigates windowing effects from limited measurement areas.
Iterative patch NAH involves a two-step process: sound field extension and source projection.

Purpose of the Study:

To introduce a novel one-step procedure for patch NAH.
To combine sound field extension and source projection into a single step.
To enhance the efficiency and accuracy of acoustic source reconstruction.

Main Methods:

Developed a one-step procedure relating surface acoustical properties to partially measured pressure.
Utilized sampling and bandlimiting matrices.
Employed a regularized least squares solution for reconstruction.
Proposed a method to determine the bandlimiting cutoff wave number without prior signal bandwidth knowledge.

Main Results:

Successfully reconstructed the acoustical property using the one-step procedure.
Validated the method with a synthetic sound field from a point-driven, simply supported plate.
Demonstrated the effectiveness of the combined task approach.

Conclusions:

The proposed one-step procedure offers an efficient alternative to iterative patch NAH.
The method effectively reconstructs acoustic sources from limited holographic measurements.
The technique provides accurate results without requiring prior knowledge of signal bandwidth.