TECHNICAL FIELD
[0001] The disclosure relates to a system and a method for collision warning, in particular
for a rear-end collision warning system in vehicles.
BACKGROUND
[0002] All vehicles today are equipped with brake lights, which provide a very simple collision
warning system. The brake lights light up when the brake is applied. The driver of
a successive car is thereby informed that the vehicle travelling in front is reducing
its speed. The driver of the successive car then needs to estimate the speed and deceleration
of the vehicle travelling in front, the remaining distance between the vehicles and
the risk of a collision, for example, in order to avoid a collision.
SUMMARY
[0003] The method described herein includes the following procedures: determining a danger
value which is indicative of a potential collision of a first vehicle and a second
vehicle; and generating a warning signal, if the danger value crosses a predefined
threshold, wherein the danger value is determined by the first vehicle and the warning
signal is perceivable to a driver of the second vehicle.
[0004] A collision warning system comprises: a determination unit in a first vehicle, the
determination unit being configured to determine a danger value which is indicative
of a potential collision of the first vehicle and a second vehicle; and a signal unit
in the first vehicle, the signal unit being configured to generate a warning signal,
if the danger value crosses a predefined threshold, wherein the warning signal is
perceivable to a driver of the second vehicle.
[0005] Other systems, methods, features and advantages will be or will become apparent to
one with skill in the art upon examination of the following detailed description and
figures. It is intended that all such additional systems, methods, features and advantages
be included within this description, be within the scope of the invention and be protected
by the following claims.
BRIEF DESCRIPTION OF THE DRAWINGS
[0006] The method may be better understood with reference to the following description and
drawings. The components in the figures are not necessarily to scale, emphasis instead
being placed upon illustrating the principles of the invention. Moreover, in the figures,
like referenced numerals designate corresponding parts throughout the different views.
Figure 1 is a schematic diagram illustrating an exemplary collision warning system.
Figure 2, including Figures 2A - 2D, illustrates in schematic diagrams an exemplary
collision warning system in several situations of varying risk.
Figure 3, including Figures 3A - 3C, illustrates in schematic diagrams exemplary collision
warning signals.
Figure 4 is a flowchart of an exemplary method for collision warning.
Figure 5 is a block diagram of an exemplary collision warning system.
DETAILED DESCRIPTION
[0007] Referring to Figure 1, the basic principle of an exemplary collision warning system
is illustrated. A first vehicle 100 is driving on a road in a first direction. A second
vehicle 110 is driving on the same road behind the first vehicle 100 in the same direction.
The second vehicle 110 may have the same velocity as the first vehicle 100 or may
be slower or faster than the first vehicle 100. If the second vehicle 110 is at a
certain distance from the first vehicle 100 and has the same velocity or is slower
than the first vehicle 100, there is generally no risk for a collision of the two
vehicles 100, 110. If the second vehicle 110 is faster than the first vehicle 100
and the distance between the two vehicles 100, 110 falls below a certain value, there
is an increased risk for a collision. The first vehicle 100 may determine the risk
for a collision and, if there is an increased risk for a collision, the first vehicle
100 may generate a warning signal which is perceivable to the driver of the second
vehicle 110.
[0008] To determine the risk of collision, a danger value may be determined which is indicative
of a potential collision of the first vehicle 100 and the second vehicle 110. In the
simplest case, the danger value may be proportional to the distance between the first
vehicle 100 and the second vehicle 110, for example. A warning signal may then be
generated if the distance, and therefore the danger value, falls below a certain threshold.
The threshold may be dependent on a velocity of the first vehicle 100 and/or the second
vehicle 110, as the braking distance generally depends on the velocity of a vehicle.
For example, the threshold may have a higher value, if the velocity of the vehicles
100, 110 is high, meaning that a warning signal will be generated earlier when the
distance between the vehicles 100, 110 is still rather long. The threshold may have
a lower value, if the velocity of the vehicles 100, 110 is low, meaning that a warning
signal will be generated later when the distance between the vehicles 100, 110 is
shorter. The danger value, however, may not only depend on the distance between the
vehicles, but also on the velocity and/or an acceleration of one or both of the vehicles.
[0009] The danger value may be determined for a present point of time t0 or may be predicted
for a future point of time t0 + Δt, based on current parameters. For example, the
danger value may be determined as a ratio of an estimated square of the velocity difference
of the vehicles 100, 110 to a doubled pre-estimated remaining distance between the
vehicles 100, 110 after a certain time period Δt. Doubling the weight of the pre-estimated
remaining distance results in a physically correct function, which allows to determine
a necessary pre-estimated deceleration (negative acceleration), that the second vehicle
110 needs to perform in order to avoid a collision with the first vehicle 100. The
danger value x(Δt) in this example may then be determined according to the following
equation:

[0010] Values that are sampled or determined at a particular moment t0 are identified with
a corresponding subscript (tO) in equation (1) as well as in the following description.
With v
B(t0) being the velocity of the second vehicle 110 at a first time instant t0, v
A(t0) being the velocity of the first vehicle 100 at the first time instant t0, a
B(t0) being the acceleration of the second vehicle 110 at the first time instant t0 and
d
AB(t0) being the distance between the first vehicle 100 and the second vehicle 110 at the
first time instant t0. The acceleration a
B(t0) of the second vehicle 110 may be positive (second vehicle is gaining speed) or negative
(second vehicle is reducing speed/breaking). Equation (1) may be altered by further
taking into consideration the acceleration (or deceleration) a
A(t0) of the first vehicle 100. This results in a higher sensitivity of the calculation,
which may result in an earlier (or later) generation of the warning signal. The acceleration
a
A(t0) of the first vehicle 100, however, is not considered in equation (1) above.
[0011] The danger value x(Δt) may be continuously predicted for one or more time instances
(different values for Δt are applied). For example, the danger value x(Δt) may be
determined with an update rate of 100 milliseconds. This, however, is only an example.
The danger value x(Δt) may be determined more or less often. Each time the danger
value x(Δt) is determined, three different estimated danger values x(Δt) may be determined,
e.g. for Δt1 = 1s, Δt2 = 2s and Δt3 = 3s. The resulting danger value x(Δt) is then
indicative of a potential collision of the vehicles 100, 110 in 1s, 2s or 3s. This
is, however, only an example. Any other values may be selected for the time period
Δt. In another example the danger value x(Δt) may be determined for Δt1 = 2s, Δt2
= 3.5s and Δt3 = 5s, for example. Assuming that at least one of the determined danger
values x(Δt1), x(Δt2), x(Δt3) exceeds the threshold, a warning signal is generated
earlier, if the values for Δt are chosen higher, which gives the driver of the second
vehicle 110 more time to react.
[0012] If (
vB(t0) +
aB(t0) ×
Δt)
- vA(t0) > 0, the second vehicle 110 is closing in on the first vehicle 100.
[0013] If
dAB(t0) - (
vB(t0) - vA(t0) + 0,5 ×
aB(t0) ×
Δt) ×
Δt > 0, the remaining estimated distance between the first vehicle 100 and the second
vehicle 110 after time Δt is greater than 0.
[0014] If the danger value x(Δt) is determined using equation (1), then a collision of the
two vehicles 100, 110 is more likely, the higher the danger value x(Δt). For example,
if the danger value x(Δt) is high at a time instant t0 + Δt, the velocity of the second
vehicle 110 needs to be reduced more severely. If, on the other hand, the danger value
x(Δt) at time instant t0 + Δt is low, a relatively slow reduction of the velocity
of the second vehicle 110 might be sufficient to prevent a collision.
[0015] The warning signal may be a warning signal which is audible to the driver of the
second vehicle 110. For example, the horn of the first vehicle 100 may be activated.
This is, however, only an example. Any other audible warning signal may be generated,
such as a siren, buzzer, beeper, chime or chirp, for example, which can be heard by
the driver of the second vehicle 110. These are, however, only non-limiting examples.
[0016] The warning signal may be a visual warning signal 120 visible for the driver of the
second vehicle 110, for example. A visual warning signal may be activated instead
or additionally to an audible warning signal. The visual warning signal 120 may be
a visible line that is projected onto the driving surface. This visible line may be
red, for example, as red is the traditional color of warning and danger. This is,
however, only an example. A line projected onto the driving surface may have any color
or may change its color depending on the criticality of the situation. For example,
the color may change from yellow to red, as the distance between the vehicles 100,
110 decreases and a collision of the vehicles 100, 110 becomes more likely. Such a
visible line may be projected onto the driving surface using a laser or any other
suitable projection device.
[0017] Referring to Figure 2, different conditions of an exemplary collision warning system
are illustrated. In a first condition, illustrated in Figure 2A, no warning signal
is generated. This is, for example, if the situation is classified as noncritical.
The situation may be classified as noncritical, if the distance d
AB between the vehicles 200, 210 exceeds a certain value and/or the second vehicle 210
is driving at a slower or at the same velocity as the first vehicle 200. In such a
case the second vehicle 210 does not draw nearer to the first vehicle 200 and there
is no potential risk of a collision. If the danger value x(Δt) is determined according
to equation (1) for three different time instances t0 + Δt1, t0 + Δt2, t0 + Δt3, it
may be below a certain threshold X
ref for all predicted time instances t0 + Δt1, t0 + Δt2, t0 + Δt3, such that
x(Δ
t1)
- xref < 0,
x(
Δt2
) - xref < 0 and
x(
Δt3)
- xref < 0. In a second condition, illustrated in Figure 2B, the danger value x(Δt) may
fall below the threshold for one of the predicted time instances, such that
x(
Δt1)
- xref < 0,
x(
Δt2)
- xref < 0 and
x(
Δt3)
- xref > 0. This may be because the second vehicle 210 is moving faster than the first vehicle
200 and the distance d
AB between the second vehicle 210 and the first vehicle 200 falls below a predetermined
value. The situation may be classified as dangerous and a warning signal 220 may be
generated.
[0018] If the second vehicle 210 moves even faster than the first vehicle 200 and the distance
d
AB reduces (rapidly), the danger value x(Δt) in a third condition may fall below the
threshold for even more of the predicted time instances, such that
x(Δ
t1)
- xref < 0,
x(
Δt2)
- xref > 0 and
x(
Δt3)
- xref > 0. This is illustrated in Figure 2C. The warning signal 220 that is generated in
the third condition may be different from the warning signal 220 that is generated
in the second condition. This may be to increase the warning effect of the warning
signal. For example, the warning signal 220 may change its color or may begin to flash.
The third condition may be classified as a very dangerous traffic situation, for example.
[0019] In Figure 2D, a fourth condition is illustrated. The second vehicle 210 may still
be moving faster than the first vehicle 200 and the remaining distance d
AB between the vehicles 200, 210 may be dangerously short, such that
x(
Δt1)
- xref > 0,
x(Δ
t2)
- xref > 0 and
x(Δ
t3)
- xref > 0. The warning signal 220 that is generated in the fourth condition may again be
different from the warning signal 220 that is generated in the second or third condition
to further increase the warning effect of the warning signal 220. For example, the
warning signal 220 may again change its color or may flash faster. Additionally, the
brake lights 230 of the first vehicle 200 may begin to flash simultaneously and the
cars horn may be activated. The fourth condition may be classified as a highly dangerous
traffic situation, for example.
[0020] The threshold X
ref may be determined depending on the expected braking performance of an average car.
Assuming that the braking distance of an average car driving at 100km/h is 40m, the
threshold may be chosen to be X
ref = 9.64 m/s
2. The driver of the second vehicle 200 would then be warned early enough, so that
a braking maneuver to avoid a collision would still be possible. This is, however,
only an example. The threshold X
ref may be chosen to be any other lower or higher value. The braking distance of a motor
truck at the same velocity is significantly longer. A collision warning system, therefore,
may include a detection system, which is configured to detect whether a motor vehicle
or a motor truck is driving behind the first vehicle 200. The threshold X
ref may then be adapted accordingly, depending on whether a motor truck or a motor vehicle
is detected. For example, the front surface size of the second vehicle 210 may be
measured, using a radar or any other suitable detection system. The front size of
a motor truck is generally larger than the front size of a motor vehicle.
[0021] A visual warning signal may be implemented in different ways. As has already been
explained by means of Figures 1 and 2, the warning signal may be a single collision
warning line that is projected onto the driving surface between the first vehicle
and the second vehicle. The collision warning line may be projected at a display distance
d
CW(Δt) behind the first vehicle, as is illustrated in Figure 2. The display distance
d
CW(Δt) may be determined in any suitable way. For example, the display distance d
CW(Δt) may be determined according to the following equation:

[0022] With Δt
SOS being a pre-estimated remaining period starting at t0, which indicates a predicted
time span after which the danger value x(Δt) will reach the threshold x
ref, if the conditions do not change. The remaining period tsos may be constantly calculated,
considering the respective parameters, sampled at each sampling instant. To calculate
the remaining period tsos, equation (1) may be used, replacing x(Δt) by X
ref and forming it to a quadratic equation (basic form: a×t
SOS2 + bxtsos + c = 0). Since quadratic equations generally have two solutions, the logically
correct solution may be determined (e.g. tsos may not take on a negative value), by
using an appropriate algorithm.. The display distance d
CW(Δt) according to equation (2) corresponds to the distance at which the driver of
the second vehicle 210 still has time Δt left until a hard braking maneuver is necessary
to prevent a collision with the first vehicle 200. The display distance d
CW(Δt) may be determined continuously. For example, the display distance d
CW(Δt) may be continuously determined for time instant t0 + Δt1 (e.g. Δt1 = 1s), meaning
that the second vehicle 210 will touch the collision warning line in tsos - Δt1 and
from that time instant has Δt1 left to react, e.g. by performing a hard braking maneuver.
In the given example a first warning level (e.g. generating a single collision warning
line) is activated if
x(Δ
t3)
- xref > 0. It follows that tsos is less than Δt3 from that time instance t0. The driver
of the second vehicle 210, therefore, has a reaction time of almost Δt3 - Δt1 (in
the given example Δt3 - Δt1 = 2s) from the time instance the collision warning line
is first generated to actually touching the collision warning line (as illustrated
in Figure 2D). The display distance d
CW(Δt) of the collision warning line 220 is variable depending on the velocity of the
vehicles 200, 210 and the acceleration of the second vehicle 210. The collision warning
line 220 provides an intuitive feedback for the driver of the second vehicle 210.
If the driver of the second vehicle 210 does not decelerate sufficiently, the second
vehicle 210 will get closer and closer to the collision warning line 220. If the second
vehicle 210 decelerates sufficiently, the second vehicle 210 will recede from the
collision warning line 220 until, finally, a safe distance is reached at which no
warning signal is generated (as is illustrated in Figure 1).
[0023] Referring to Figure 2D, the collision warning line 220 may be projected directly
in front of the second vehicle 210 in the fourth condition, irrespective of the determined
display distance d
CW(Δt). The position of the collision warning line 220 may then only be dependent on
the position of the second vehicle 210.
[0024] The warning signal 220 may be a single collision warning line as is illustrated by
means of Figures 1 and 2 as well as Figure 3A. This, however, is only an example.
The warning signal may also include more than one line. This is illustrated by means
of Figure 3B. Still referring to Figure 3B, the warning signal may additionally include
writing as well as signs, icons or illustrations. It is also possible that the warning
signal includes only writing, only icons or only signs, for example. Additionally
or alternatively, the brake lights of the first vehicle 200 may begin to flash, if
the danger value x(Δt) crosses the predefined threshold x
ref, as has already been explained by means of Figure 2D. The brake lights of the first
vehicle 200 may flash irrespective of whether the brake is pressed or not.
[0025] Referring to Figure 3C, a collision warning line 320a may be visible at a display
distance d
CW(Δt1) from the first vehicle 300. An additional second line 320b may be displayed
directly in front of the second vehicle 310. The second line 320b may, for example,
be displayed during a highly dangerous traffic situation. Projecting two different
lines 320a, 320b may illustrate more clearly that the second vehicle 310 is closing
in on the first vehicle 300, as the driver of the second vehicle 310 can see the two
lines 320a, 320b closing in on each other.
[0026] Referring to Figure 4, a method for collision warning includes determining a danger
value, which is indicative of a potential collision of a first vehicle and a second
vehicle (step 401). The danger value may be determined constantly by the first vehicle.
If the danger value crosses a predefined threshold (step 402), a warning signal is
generated (step 403). The warning signal may be perceivable to a driver of the second
vehicle, as has already been described above.
[0027] Referring to Figure 5, a collision warning system includes a calculating unit 510.
The calculating unit 510 is configured to determine a danger value, which is indicative
of a potential collision of a first vehicle and a second vehicle. The collision warning
system further includes a signal unit 520, which is configured to receive the danger
value and to generate a warning signal, if the danger value crosses a predefined threshold.
The danger value may be dependent on a distance between the first vehicle and the
second vehicle, a velocity of the first vehicle, a velocity of the second vehicle
and/or an acceleration of the second vehicle, for example. The collision warning system,
therefore, may further include a detection unit 530, which is configured to detect
parameters of the first and/or the second vehicle. For determining the distance d
AB between the first vehicle and the second vehicle, any suitable proximity sensor may
be used. For example, a Doppler effect (e.g. radar), laser, photoelectric (e.g. infrared)
or ultrasound sensor may be used. It is also possible to determine the distance between
the vehicles by means of sensors including photographic or video cameras. The given
examples, however, are only non-limiting examples.
[0028] The signal unit 520 does not need to be permanently active. Rather, a warning signal
may be displayed only when a situation is classified as dangerous. In this way, traffic
participants do not easily grow accustomed to the system. Drivers might more easily
get used to a pure distance warning system which constantly displays information concerning
a distance between successive vehicles. Drivers might be more likely to ignore displays
that are constantly presented. As the collision warning system is intended to become
active selectively, it is noticed as an unusual event by traffic participants and
stimulates the traffic participants to evaluate a current situation. The collision
warning line as has been explained above provides a temporal preview of what might
happen if the distance between the vehicles is not increased.
[0029] The equations presented above are only examples. Any other algorithm may be used
to evaluate the situation and predict a potential collision. The system may be implemented
in motor vehicles, as well as motor trucks or motorcycles.
[0030] While various embodiments of the invention have been described, it will be apparent
to those of ordinary skill in the art that many more embodiments and implementations
are possible within the scope of the invention. Accordingly, the invention is not
to be restricted except in light of the attached claims and their equivalents.
1. A method for collision warning, the method comprising:
determining a danger value which is indicative of a potential collision of a first
vehicle and a second vehicle; and
generating a warning signal, if the danger value crosses a predefined threshold, wherein
the danger value is determined by the first vehicle, and
the warning signal is perceivable to a driver of the second vehicle.
2. The method of claim 1, wherein the second vehicle is driving behind the first vehicle
in the same direction.
3. The method of claim 1 or 2, wherein the danger value is dependent on at least one
of
a distance between the first vehicle and the second vehicle,
a velocity of the first vehicle,
a velocity of the second vehicle, and
an acceleration of the second vehicle.
4. The method of any of claims 1 to 3, wherein the danger value is constantly predicted
for at least one future point of time.
5. The method of any of the preceding claims, further comprising determining the danger
value as a ratio of an estimated square of the velocity difference of the first vehicle
and the second vehicle to a pre-estimated remaining distance between the first vehicle
and the second vehicle.
6. The method of any of the preceding claims, wherein the warning signal is at least
one of
a visual warning signal, and
an audible warning signal.
7. The method of claim 6, further including projecting the visual warning signal onto
the driving surface between the first vehicle and the second vehicle.
8. The method of claim 7, wherein the warning signal is projected onto the driving surface
at a display distance behind the first vehicle, the display distance being dependent
on at least one of
a distance between the first vehicle and the second vehicle,
a velocity of the first vehicle,
a velocity of the second vehicle, and
an acceleration of the second vehicle.
9. The method of any of claims 6 to 8, wherein the warning signal is projected in a first
color, the color depending on the danger value.
10. The method of any of claims 6 to 9, wherein the warning signal includes at least one
of
a collision warning line,
an icon,
writing, and
an illustration.
11. The method of any of the preceding claims, further comprising setting the threshold
dependent on at least one of
a distance between the first vehicle and the second vehicle,
a velocity of the first vehicle,
a velocity of the second vehicle,
an acceleration of the second vehicle,
an expected braking performance of the second vehicle, and
an estimated braking distance of the second vehicle.
12. A computer program configured to execute the method of any of claims 1 to 11.
13. A collision warning system comprising
a determination unit in a first vehicle, the determination unit being configured to
determine a danger value which is indicative of a potential collision of the first
vehicle and a second vehicle; and
a signal unit in the first vehicle, the signal unit being configured to generate a
warning signal, if the danger value crosses a predefined threshold, wherein the warning
signal is perceivable to a driver of the second vehicle.
14. The collision warning system of claim 13, further comprising a detection unit, which
is configured to detect at least one of
a distance between the first vehicle and the second vehicle,
a velocity of the first vehicle,
a velocity of the second vehicle, and
an acceleration of the second vehicle.
15. The collision warning system of claim 14, wherein the detection unit comprises a sensor
including a photographic or video camera, a radar, a laser, an infrared or an ultrasound
sensor.