Delay 807
setups where another loudspeaker can act as the refer-
ence.
It is not generally desirable for loudspeakers in a sys-
tem to appear to be generating echoes as this will have a
detrimental effect on the intelligibility of the system.
Whether the image shift effects are important depends
on the application. In a stage system, it is desirable to
have the apparent sound source at the stage, regardless
of the placement of the loudspeakers. In a distributed
announcement system, the creation of a coherent source
image is not as important as the intelligibility.
Sound travels at 334 m/s or 1130 ft/s. A sound trav-
eling 33 ft will be delayed by 30 ms, so with sound
sources greater than 33 ft apart, delay should be used to
avoid the creation of echoes.
24.2.2 Setting Delay Times
In Fig. 24-6 the sound from the source, a person talking,
is to be augmented by a loudspeaker and the apparent
source of the sound is to be kept on the stage. To
achieve this, the sound from the source must arrive at
the listener before the sound from the loudspeaker. The
time taken for the signal to arrive at the listener from the
loudspeaker is a combination of the distance traveled in
air from the loudspeaker to the listener and the negligi-
ble time taken for the signal to arrive electrically at the
speaker. We must delay the signal to the loudspeaker by
an amount that allows the direct sound traveling more
slowly though the air to catch up and overtake the sound
from the loudspeaker. The delay should slightly exceed
the time taken for the sound to travel the difference in
distance between the source and the loudspeaker so that
the direct sound will be heard first and localized to the
source. The loudspeaker can then add up to 10 dB of
level 5 to 10 ms later to increase the level of the sound
without changing its apparent position.
A graphical method for setting delays is shown in
Fig. 24-7. The positions of the source and loudspeakers
are plotted and a series of concentric circles drawn
around them at 30 ms (33 ft) intervals. The SPL level
from the polar response pattern of the loudspeaker can
also be plotted, but for simplicity in this example, omni-
directional sources are used where the level decreases
by 6 dB per doubling of distance.
If we look at point A, where source and loudspeaker
are in a direct line, the time difference is 30 ms. If we
add a small amount to this to allow the direct sound to
be heard first, we come up with a delay setting of
Table 24-1. Perception Curves of Figure 24-5
Tabulated
Echo Image shift Spacious No effect
Ms after direct dB dB dB
00 10 20
1 6
2 17
44 5
5 17
7 2 14
10 17
11 8
17 6 5
20 5 17
25 21
30 13 21
40 25
50 7
60 10 36
77 14 32 38
Figure 24-6. A delay in the sound system corrects for the
differences in path length between the source and listener
and the loudspeaker and listener.
Figure 24-7. Graphical method of setting delays.
Source
Loudspeaker
Listener
Delay
Loudspeaker
Source
30 ms 70 dB
45 ms 68 dB
60 ms 64 dB
15 ms 76 dB
A. Direct = 60 ms
Delayed = 30 ms
B. Direct = 60 ms
Delayed = 45 ms
C. Direct = 60 ms
Delayed = 60 ms