The cyclostationary near field acoustic holography (NAH) technique is proposed to overcome the limitations of the current NAH in analyzing cyclostationary sound field. The proposed technique adopts the cyclic spectrum density as the reconstructed physical quantity, instead of the spectrum of sound pressure. Moreover, introducing the principal component analysis into the technique, a partial source decomposition procedure is suggested to decompose the sound field radiated by multiple sound sources into some incoherent partial fields. More information about cyclostationary sound field can be shown clearly on the hologram of the proposed technique than NAH can, which is validated by the simulation results.
1.
Williarms
, E. G.
, Maynard
, J. D.
, and Skudrzyk
, E.
, 1980, “Sound Source Reconstructions Using a Microphone Array
,” J. Acoust. Soc. Am.
0001-4966, 68
(1
), pp. 340
–344
.2.
Kevin
, B. G.
, and Hald
, J.
, 1989, “STSF-Practical Instrumentation and Applications
,” B&K Technical Review, No. 2, pp. 1
–27
.3.
Tomlinson
, M. A.
, 1999, “Partial Source Discrimination in Near Field Acoustic Holography
,” Appl. Acoust.
0003-682X, 57
, pp. 243
–261
.4.
Loyan
, T.
, Pascal
, J. C.
, and Gsillard
, P.
, 1988, “Broadband Acoustic Holography Reconstruction From Acoustic Intensity Measurements. I: Principle of the Method
,” J. Acoust. Soc. Am.
0001-4966, 84
(5
), pp. 1744
–1750
.5.
Bai
, M. R. S.
, 1992, “Application of BEM (Boundary Element Method)-Based Acoustic Holography to Radiation Analysis of Sound Sources With Arbitrarily Shaped Geometries
,” J. Acoust. Soc. Am.
0001-4966, 92
(1
), pp. 533
–549
.6.
Wang
, Z. X.
, and Wu
, S. F.
, 1997, “Helmholtz Equation-Least Squares Method for Reconstructing the Acoustic Pressure Field
,” J. Acoust. Soc. Am.
0001-4966, 102
(4
), pp. 2020
–2032
.7.
Wu
, S. F.
, and Zhao
, X.
, 2002, “Combined Helmholtz Equation-Least Squares Method for Reconstructing Acoustic Radiation From Arbitrarily Shaped Objects
,” J. Acoust. Soc. Am.
0001-4966, 112
(1
), pp. 179
–188
.8.
Mccormick
, A. C.
, and Nandi
, A. K.
, 1998, “Cyclostationarity in Rotating Machine Vibrations
,” Mech. Syst. Signal Process.
0888-3270, 12
(2
), pp. 225
–242
.9.
Capdessus
, C.
, Sidahmed
, M.
, and Lacoume
, J. L.
, 2000, “Cyclostationary Processes: Application in Gear Faults Early Diagnosis
,” Mech. Syst. Signal Process.
0888-3270, 14
(3
), pp. 371
–385
.10.
Antoniadis
, I.
, and Glossiotis
, G.
, 2001, “Cyclostationary Analysis of Rolling-Element Bearing Vibration Signals
,” J. Sound Vib.
0022-460X, 248
(5
), pp. 829
–845
.11.
Antoni
, J.
, Bonnardot
, F.
, Raad
, A.
, and Badaoui
, M. E.
, 2004, “Cyclostationary Modelling of Rotating Machine Vibration Signals
,” Mech. Syst. Signal Process.
0888-3270, 18
(6
), pp. 1285
–1314
.12.
Hallman
, D.
, and Bolton
, J. S.
, 1992, “Multi-Reference Nearfield Acoustical Holography
,” Inter-Noise 92
, Toronto, Canada, July, pp. 1165
–1170
.13.
Yoon
, S. H.
, and Nelson
, P. A.
, 2003, “A Method for the Efficient Construction of Acoustic Pressure Cross-Spectral Matrices
,” J. Sound Vib.
0022-460X, 233
(5
), pp. 897
–920
.14.
Hongo
, S.
, Abe
, M.
et al., 1995, “Method to Estimate the Acoustic Holography Using a Sub-Array in an Environment With Uncorrelated Noise and Reflections
,” J. Acoust. Soc. Jpn. (E)
0388-2861, 16
(1
), pp. 13
–20
.15.
Bai
, M. R.
, and Lee
, J.
, 1998, “Industrial Noise Source Identification by Using an Acoustic Beamforming System
,” Trans. ASME, J. Appl. Mech.
0021-8936, 120
, pp. 426
–433
.16.
Kim
, Y. J.
, Bolton
, J. S.
, and Kwon
, H. S.
, 2004, “Partial Sound Field Decomposition in Multireference Near-Field Acoustical Holography by Using Optimally Located Virtual References
,” J. Acoust. Soc. Am.
0001-4966, 115
(4
), pp. 1641
–1652
.17.
Nam
, K. U.
, and Kim
, Y. H.
, 2004, “A Partial Field Decomposition Algorithm and its Examples for Near-Field Acoustic Holography
,” J. Acoust. Soc. Am.
0001-4966, 16
(1
), pp. 172
–185
.18.
Gardner
, W. A.
, 1991, “Exploitation of Spectral Redundancy in Cyclostationary Signals
,” IEEE Signal Process. Mag.
1053-5888, 8
(2
), pp. 14
–36
.Copyright © 2005
by American Society of Mechanical Engineers
You do not currently have access to this content.