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
.
You do not currently have access to this content.