Digital Signal Processing Reference
In-Depth Information
10
10
0
0
−10
−10
−20
−20
−30
−30
−40
−40
−50
−50
−60
−60
−70
−70
−80
−80
0
0.5 1.0 1.5 2.0 2.5 3.0
3.5
4.0
0
0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
F (KHZ)
F (KHZ)
(
a
)
(
b
)
10
10
0
0
−10
−10
−20
−20
−30
−30
−40
−40
−50
−50
−60
−60
−70
−70
−80
−80
0
0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
0
0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
F (KHZ)
F (KHZ)
(c)
(d)
FIG. 4.14
The white noise gain of the second-order quadrupole, as a function of frequency,
for different values of
Δ
: (a)
Δ
= 1 cm, (b)
Δ
= 2 cm, (c)
Δ
= 3 cm, and (d)
Δ
= 5 cm.
{
1
−
cos[
ωτ
0
(1
− α
2,1
)]
}{
1
−
cos[
ωτ
0
(1
− α
2,2
)]
}
{
1
−
cos[
ωτ
0
(cos
θ
N
− α
2,1
)]
}{
1
−
cos[
ωτ
0
(cos
θ
N
− α
2,2
)]
}
.
(4.34)
′
G
NS,2
[
h
(
ω
)] =
′
Figures 4.20, 4.21, 4.22, and 4.23 display
G
NS,2
[
h
(
ω
)], for the cardioid, hy-
percardioid, supercardioid, and quadrupole, respectively, as a function of
θ
N
,
for several frequencies and two values of
δ
.
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