Digital Signal Processing Reference
In-Depth Information
50
50
40
40
30
30
20
20
10
10
0
0
0
◦
60
◦
120
◦
180
◦
240
◦
300
◦
360
◦
0
◦
60
◦
120
◦
180
◦
240
◦
300
◦
360
◦
Θ
N
Θ
N
(a)
(b)
50
50
40
40
30
30
20
20
10
10
0
0
0
◦
60
◦
120
◦
180
◦
240
◦
300
◦
360
◦
0
◦
60
◦
120
◦
180
◦
240
◦
300
◦
360
◦
Θ
N
Θ
N
(c)
(d)
FIG. 2.7
Gain in SNR as a function of the direction (
Θ
N
) of the point noise source for the
third-order DMA: (a) dipole, (b) cardioid, (c) hypercardioid, and (d) supercardioid.
1
, j
=
i
u
ij
=
0
, j
=1
u
i−1,j−1
− u
i,j−1
v
j−1
,
otherwise
,
(2.54)
where
u
0j
=0
.
(2.55)
References
1. G. W. Elko, J. E. West, and S. Thompson, “Differential and gradient microphone
arrays,”
J.Acoust.Soc.Am.
, vol. 114, pp. 2426-2426, Oct. 2003.
2. G. W. Elko and J. Meyer, “Microphone arrays,” in
Springer Handbook of Speech Pro-
cessing
, J. Benesty, M. M. Sondhi, and Y. Huang, Eds. Berlin: Germany, Springer-
Verlag, 2008, Chapter 50, Part I, pp. 1021-1041.
3. M. Buck, “Aspects of first-order differential microphone arrays in the presence of sensor
imperfections,”
European Trans. Telecommunications
, vol. 13, pp. 115-122, Mar.-Apr.
2002.
4. G. W. Elko, “Superdirectional microphone arrays,” in
Acoustic Signal Processing for
Telecommunication
, S. L. Gay and J. Benesty, Eds. Boston, MA: Kluwer Academic
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