Digital Signal Processing Reference
In-Depth Information
4
n
(
ω
)
e
ω
(
n −
1)
τ
0
cos
θ
.
′
′
B
[
h
(
ω
)
,θ
]=
H
(7.36)
n=1
Figures 7.13, 7.14, 7.15, and 7.16 display the patterns from (7.36) for the
dipole, cardioid, hypercardioid, and supercardioid, respectively, for several
frequencies and two values of
δ
.
We are interested in gains of three types of noise:
•
white,
2
n
(
ω
)
e
ω
(
n −
1)
τ
0
4
n=1
H
′
′
G
WN,3
[
h
(
ω
)] =
,
(7.37)
4
n=1
n
(
ω
)
|
2
|H
′
•
diffuse,
2
n
(
ω
)
e
ω
(
n −
1)
τ
0
4
n=1
H
′
′
G
DN,3
[
h
(
ω
)] =
,
(7.38)
h
′H
(
ω
)
Γ
DN
(
ω
)
h
′
(
ω
)
•
and point source,
2
n
(
ω
)
e
ω
(
n −
1)
τ
0
4
n=1
H
′
′
G
NS,3
[
h
(
ω
)] =
2
.
(7.39)
n
(
ω
)
e
ω
(
n −
1)
τ
0
cos
θ
N
4
n=1
H
′
(
ω
)] for the dipole, car-
dioid, hypercardioid, and supercardioid, respectively, for several frequencies
and different values of
δ
.
In Figs. 7.21, 7.22, 7.23, and 7.24, we plot
G
In Figs. 7.17, 7.18, 7.19, and 7.20, we plot
G
WN,3
[
h
′
′
(
ω
)] for the dipole, car-
dioid, hypercardioid, and supercardioid, respectively, for several frequencies
and different values of
δ
.
DN,3
[
h
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