CN103759811A - Near-field acoustical holography reconstruction method based on Fourier transformation and source strength simulation technology - Google Patents
Near-field acoustical holography reconstruction method based on Fourier transformation and source strength simulation technology Download PDFInfo
- Publication number
- CN103759811A CN103759811A CN201310721034.5A CN201310721034A CN103759811A CN 103759811 A CN103759811 A CN 103759811A CN 201310721034 A CN201310721034 A CN 201310721034A CN 103759811 A CN103759811 A CN 103759811A
- Authority
- CN
- China
- Prior art keywords
- fourier
- field
- source strength
- source
- series expansion
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
Landscapes
- Measurement Of Mechanical Vibrations Or Ultrasonic Waves (AREA)
Abstract
The invention provides a near-field acoustical holography reconstruction method based on the Fourier transformation and source strength simulation technology. The near-field acoustical holography reconstruction method based on the Fourier transformation and source strength simulation technology comprises the steps that continuous simple sources are arranged on a rectangular virtual source surface, and a source strength function is a three-dimensional free space Green function; double Fourier series expansion is carried out on an unknown source strength density function, and a sound pressure expression is deduced; expressions of the sound pressure on measuring points on a holographic surface are deduced through quick Fourier transformation and inverse transformation calculation, and a non-homogeneous linear equation set which uses a Fourier series expansion coefficient as an unknown term and the sound pressure as a constant term is formed through arrangement; the Fourier series expansion coefficient is obtained by solving the non-homogeneous linear equation set through a generalized inverse matrix, the Fourier series expansion coefficient is substituted into a reconstruction formula in a back substitution mode, the expression of the sound pressure on any field point in a radiation field is obtained, and reconstruction and prediction of the whole space sound field are achieved. According to the near-field acoustical holography reconstruction method based on the Fourier transformation and source strength simulation technology, implementation is easy, the calculating speed is high, limitation cannot be caused by the limited hole diameter, and the near-field acoustical holography reconstruction method is applicable to sound sources with any shapes.
Description
Technical field
The present invention relates to a kind of near field acoustic holography method for reconstructing based on Fourier conversion-source strength analogue technique, belong to acoustical holography technical field.
Background technology
Near field acoustic holography proposed in the eighties mid-term in last century, the aspect such as visual that is mainly used in that identification, the sound of noise source raises.Its ultimate principle is recording holographic data on the measurement face near tested sound source body surface, then by spatial sound field transformation algorithm reconstruct three dimensions space sound field.And the defect that current near field acoustic holography reconstruction technique exists is that implementation procedure complexity, speed are slow, for the sound source of some special shape, cannot realize reconstruction.
Summary of the invention
The technical problem to be solved in the present invention is to overcome existing defect, and a kind of near field acoustic holography method for reconstructing based on Fourier conversion-source strength analogue technique is provided, and is easy to realize, computing velocity is fast, is applicable to the sound source of arbitrary shape.
In order to solve the problems of the technologies described above, the invention provides following technical scheme:
Based on the near field acoustic holography method for reconstructing of Fourier conversion-source strength analogue technique, comprise the following steps:
A. on rectangle virtual source face, arrange continuous simple source---monopole, source strength function is taken as 3 D auto space Green function;
B. unknown Source intensity density function is made to double Fourier series expansion, derive the acoustic pressure expression formula with Two-Dimensional Discrete Fourier Transform form;
C. by quick Fourier transformation (FFT) and quick Fourier inverse transformation (IFFT) speed-up computation, derive the acoustic pressure expression formula at each measuring point place on holographic facet, and be organized into using Fourier series expansion coefficient as unknown quantifier, acoustic pressure is the Linear Equations of constant term, and acoustic pressure (being holographic data) is obtained by holographic measurement array measurement;
D. by generalized inverse matrix, solve coefficient, then back substitution enters reconstruction formula, finally obtain the acoustic pressure expression formula at arbitrary some place in radiation field, realize reconstruction and the prediction of whole space sound field.
A kind of near field acoustic holography method for reconstructing based on Fourier conversion-source strength analogue technique of the present invention, is easy to realize, computing velocity is fast, is not subject to the restriction of finite aperture, is applicable to the sound source of arbitrary shape.
Embodiment
Below the preferred embodiments of the present invention are described, should be appreciated that preferred embodiment described herein, only for description and interpretation the present invention, is not intended to limit the present invention.
Based on the near field acoustic holography method for reconstructing of Fourier conversion-source strength analogue technique, comprise the following steps:
A. on rectangle virtual source face, arrange continuous simple source---monopole, source strength function is taken as 3 D auto space Green function;
B. unknown Source intensity density function is made to double Fourier series expansion, derive the acoustic pressure expression formula with Two-Dimensional Discrete Fourier Transform form;
C. by quick Fourier transformation (FFT) and quick Fourier inverse transformation (IFFT) speed-up computation, derive the acoustic pressure expression formula at each measuring point place on holographic facet, and be organized into using Fourier series expansion coefficient as unknown quantifier, acoustic pressure is the Linear Equations of constant term, and acoustic pressure (being holographic data) is obtained by holographic measurement array measurement;
D. by generalized inverse matrix, solve coefficient, then back substitution enters reconstruction formula, finally obtain the acoustic pressure expression formula at arbitrary some place in radiation field, realize reconstruction and the prediction of whole space sound field.
A kind of near field acoustic holography method for reconstructing based on Fourier conversion-source strength analogue technique of the present invention, is easy to realize, computing velocity is fast, is not subject to the restriction of finite aperture, is applicable to the sound source of arbitrary shape.
Finally it should be noted that: the foregoing is only the preferred embodiments of the present invention, be not limited to the present invention, although the present invention is had been described in detail with reference to previous embodiment, for a person skilled in the art, its technical scheme that still can record aforementioned each embodiment is modified, or part technical characterictic is wherein equal to replacement.Within the spirit and principles in the present invention all, any modification of doing, be equal to replacement, improvement etc., within all should being included in protection scope of the present invention.
Claims (1)
1. the near field acoustic holography method for reconstructing based on Fourier conversion-source strength analogue technique, is characterized in that comprising the following steps:
A. on rectangle virtual source face, arrange continuous simple source---monopole, source strength function is taken as 3 D auto space Green function;
B. unknown Source intensity density function is made to double Fourier series expansion, derive the acoustic pressure expression formula with Two-Dimensional Discrete Fourier Transform form;
C. by quick Fourier transformation (FFT) and quick Fourier inverse transformation (IFFT) speed-up computation, derive the acoustic pressure expression formula at each measuring point place on holographic facet, and be organized into using Fourier series expansion coefficient as unknown quantifier, acoustic pressure is the Linear Equations of constant term, and acoustic pressure (being holographic data) is obtained by holographic measurement array measurement;
D. by generalized inverse matrix, solve coefficient, then back substitution enters reconstruction formula, finally obtain the acoustic pressure expression formula at arbitrary some place in radiation field, realize reconstruction and the prediction of whole space sound field.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201310721034.5A CN103759811A (en) | 2013-12-24 | 2013-12-24 | Near-field acoustical holography reconstruction method based on Fourier transformation and source strength simulation technology |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201310721034.5A CN103759811A (en) | 2013-12-24 | 2013-12-24 | Near-field acoustical holography reconstruction method based on Fourier transformation and source strength simulation technology |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN103759811A true CN103759811A (en) | 2014-04-30 |
Family
ID=50527087
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201310721034.5A Pending CN103759811A (en) | 2013-12-24 | 2013-12-24 | Near-field acoustical holography reconstruction method based on Fourier transformation and source strength simulation technology |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN103759811A (en) |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105844114A (en) * | 2016-04-28 | 2016-08-10 | 广西科技大学 | Non-conformal measurement near field acoustic holography sound field rebuilding method |
| CN107389184A (en) * | 2017-06-29 | 2017-11-24 | 江苏理工学院 | A kind of method of two-dimensional space window processing acoustical signal error |
| CN112834023A (en) * | 2021-01-06 | 2021-05-25 | 江苏科技大学 | Space radiation sound field obtaining method based on near field transformation |
Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102121847A (en) * | 2010-12-16 | 2011-07-13 | 合肥工业大学 | Method for reestablishing transient sound field |
-
2013
- 2013-12-24 CN CN201310721034.5A patent/CN103759811A/en active Pending
Patent Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102121847A (en) * | 2010-12-16 | 2011-07-13 | 合肥工业大学 | Method for reestablishing transient sound field |
Non-Patent Citations (4)
| Title |
|---|
| 刘强等: "基于波叠加法的近场声全息重建参数选取研究", 《压电与声光》, vol. 35, no. 3, 30 June 2013 (2013-06-30), pages 349 - 353 * |
| 徐亮等: "基于波数域外推方法的近场声全息", 《机械工程学报》, vol. 43, no. 9, 30 September 2007 (2007-09-30), pages 84 - 90 * |
| 毕传兴等: "双面Patch近场声全息实验研究", 《合肥工业大学学报（自然科学版）》, vol. 34, no. 3, 31 March 2011 (2011-03-31), pages 321 - 325 * |
| 胡金意等: "快速Fourier源强模拟技术在Patch近场声全息中的应用", 《广西工学院学报》, vol. 24, no. 1, 31 March 2013 (2013-03-31), pages 29 - 32 * |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105844114A (en) * | 2016-04-28 | 2016-08-10 | 广西科技大学 | Non-conformal measurement near field acoustic holography sound field rebuilding method |
| CN107389184A (en) * | 2017-06-29 | 2017-11-24 | 江苏理工学院 | A kind of method of two-dimensional space window processing acoustical signal error |
| CN112834023A (en) * | 2021-01-06 | 2021-05-25 | 江苏科技大学 | Space radiation sound field obtaining method based on near field transformation |
| CN112834023B (en) * | 2021-01-06 | 2021-10-19 | 江苏科技大学 | Space radiation sound field obtaining method based on near field transformation |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN103712684B (en) | Sound field rebuilding method | |
| CN102121847B (en) | Method for reestablishing transient sound field | |
| Wang | Finite‐difference time‐domain approach to underwater acoustic scattering problems | |
| Chelliah et al. | An experimental comparison of various methods of nearfield acoustic holography | |
| Zhang et al. | An inverse direct time domain boundary element method for the reconstruction of transient acoustic field | |
| CN109764956B (en) | Near-field acoustic holography method based on combinatorial optimization regularization method | |
| CN103759811A (en) | Near-field acoustical holography reconstruction method based on Fourier transformation and source strength simulation technology | |
| CN111707353B (en) | Near-field acoustic holography technology-based revolution surface sound field reconstruction method | |
| Pan et al. | A hybrid approach to reconstruct transient sound field based on the free-field time reversal method and interpolated time-domain equivalent source method | |
| CN103743474A (en) | Near-field acoustical holography reconstruction method based on boundary element method | |
| CN114252148B (en) | Sound field reconstruction method based on prolate ellipsoid wave superposition | |
| CN103822698A (en) | Sound field reconstruction method based on multi-ball domain wave superposition method | |
| Hu et al. | Achieving high-resolution 3D acoustic imaging in a large-aspect-ratio cabin by the non-synchronous measurements | |
| Abreo-Carrillo et al. | A practical implementation of acoustic full waveform inversion on graphical processing units | |
| CN107389789B (en) | Ultrasonic tomography method based on Bayesian regularization | |
| Yun et al. | Passive ranging based on acoustic field interference structure using double arrays (elements) | |
| Deng et al. | Sound source identification and acoustic contribution analysis using nearfield acoustic holography | |
| Anderssohn et al. | FEM-based reconstruction of sound pressure field damped by partially absorbing boundary conditions | |
| Wang et al. | A Nautilus bionic multi-information fusion compressed-sensing acoustic imaging device | |
| Nagamatsu | Noise source localization by double NAH method | |
| Chelliah et al. | Leakage detection techniques using nearfield acoustic holography | |
| Aoki et al. | Sound Source Visualization System in Reflective Environment Using Time-Reversal Wave | |
| Mao et al. | The improved method of coherent sources with double layers | |
| Comesaña et al. | Designing an array for performing Near-field Acoustic Holography with a small number of pu probes | |
| Kondo et al. | Three-dimensional photoacoustic reconstruction for sparse array using compressed sensing based on k-space algorithm |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| C12 | Rejection of a patent application after its publication | ||
| RJ01 | Rejection of invention patent application after publication |
Application publication date: 20140430 |