Digital Signal Processing Reference
In-Depth Information
In Figs. 7.5, 7.6, 7.7, and 7.8, we plot G WN,2 [ h
( ω )] for the dipole, cardioid,
hypercardioid, and supercardioid, respectively, for several frequencies and
different values of δ .
For the beamformer h
( ω ), the directivity factor is
2
n ( ω ) e ω ( n − 1) τ 0
3
n=1 H
G DN,2 [ h
( ω )] =
.
(7.31)
′H ( ω ) Γ DN ( ω ) h
h
( ω )
In Figs 7.9, 7.10, 7.11, and 7.12, we plot G DN,2 [ h
( ω )] for the dipole, cardioid,
hypercardioid, and supercardioid, respectively, for several frequencies and
different values of δ .
The gain of h
( ω ) for a point noise source is
2
n ( ω ) e ω ( n − 1) τ 0
3
n=1 H
G NS,2 [ h
( ω )] =
2 .
(7.32)
n ( ω ) e ω ( n − 1) τ 0 cos θ N
3
n=1 H
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