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An Introduction to Sensor Fusion
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Wilfried Elmenreich
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An Introduction to Sensor Fusion
Research Report 47/2001
Wilfried Elmenreich
Institut f¨ur Technische Informatik
Vienna University of Technology, Austria
wil@vmars.tuwien.ac.at
November 19, 2002
Abstract
This paper gives an overview over the basic concepts of sensor fusion.
First we investigate on definitions and terminology and then discuss moti-
vations and limitations of sensor fusion. The next sections present a survey
on architectures for sensor fusion and describe algorithms and methods like
the Kalman Filter, inference methods, and the application of sensor fusion
in robotic vision. Sensor fusion offers a great opportunity to overcome
physical limitations of sensing systems. An important point will be the
reduction of software complexity, in order to hide the properties of the
physical sensors behind a sensor fusion layer.
Keywords: sensor fusion, information fusion, terminology, fusion model,
Kalman Filter, inference, occupancy grids.
1 Introduction
An animal recognizes its environment by the evaluation of signals from multiple
and multifaceted sensors. Nature has found a way to integrate information
from multiple sources to a reliable and feature-rich recognition. Even in case
of sensor deprivation, systems are able to compensate for lacking information
by reusing data obtained from sensors with an overlapping scope. Humans for
example combine signals from the five body senses (sight, sound, smell, taste,
and touch) with knowledge of the environment to create and update a dynamic
model of the world. Based on this information the individual interacts with the
environment and makes decisions about present and future actions [33].
This natural ability to fuse multi-sensory data has evolved to a high degree
in many animal species and is in use for millions of years. Today the application
of fusion concepts in technical areas has constituted a new discipline, that spans
over many fields of science.
The objective of this paper is to give an overview on principles, architectures
and methods of sensor fusion. Section 2 will first investigate on definitions and
1
terminology and then discuss motivations and limitations of sensor fusion. Sec-
tion 3 presents a survey on architectures for sensor fusion. Section 4 describes
algorithms and methods like the Kalman Filter, inference methods, sensor fu-
sion in robotic map-building, and the construction of reliable abstract sensors.
The paper is concluded in section 5.
2 Principles of Sensor Fusion
There is some confusion in the terminology for fusion systems. The terms
“sensor fusion”, “data fusion”, “information fusion”, “multi-sensor data fusion”,
and “multi-sensor integration” have been widely used in the technical literature
to refer to a variety of techniques, technologies, systems, and applications that
use data derived from multiple information sources. Fusion applications range
from real-time sensor fusion for the navigation of mobile robots to the off-line
fusion of human or technical strategic intelligence data [59].
Several attempts have been made to define and categorize fusion terms
and techniques. In [72], Wald proposes the term “data fusion” to be used
as the overall term for fusion. However, while the concept of data fusion is
easy to understand, its exact meaning varies from one scientist to another.
Wald uses “data fusion” for a formal framework that comprises means and
tools for the alliance of data originating from different sources. It aims at
obtaining information of superior quality; the exact definition of superior quality
depends on the application. The term “data fusion” is used in this meaning
by the Geoscience and Remote Sensing Society
1
, by the U. S. Department of
Defense [69], and in many papers regarding motion tracking, remote sensing,
and mobile robots. Unfortunately, the term has not always been used in the
same meaning during the last years [64]. In some fusion models, “data fusion”
is used to denote fusion of raw data [18].
There are classic books on fusion like “Multisensor Data Fusion” [74] by
Waltz and Llinas and Hall’s “Mathematical Techniques in Multisensor Data
Fusion” [34] that propose an extended term, “multisensor data fusion”. It
is defined there as the technology concerned with the combination of how to
combine data from multiple (and possible diverse) sensors in order to make
inferences about a physical event, activity, or situation [34, page ix]. However,
in both books, also the term “data fusion” is mentioned as being equal with
“multisensor data fusion” [34].
To avoid confusion on the meaning, Dasarathy decided to use the term
“information fusion” as the overall term for fusion of any kind of data [20]. The
term “information fusion” had not been used extensively before and thus had
no baggage of being associated with any single aspect of the fusion domain. The
fact that “information fusion” is also applicable in the context of data mining
and data base integration is not necessarily a negative one as the effective
meaning is unaltered: information fusion is an all-encompassing term covering
all aspects of the fusion field (except nuclear fusion or fusion in the music world).
1
http://www.dfc-grss.org
2
A literal definition of information fusion can be found at the homepage of
the International Society of Information Fusion
2
:
Information Fusion encompasses theory, techniques and tools conceived and
employed for exploiting the synergy in the information acquired from mul-
tiple sources (sensor, databases, information gathered by human, etc.)
such that the resulting decision or action is in some sense better (qual-
itatively or quantitatively, in terms of accuracy, robustness, etc.) than
would be possible if any of these sources were used individually without
such synergy exploitation.
By defining a subset of information fusion, the term sensor fusion is intro-
duced as:
Sensor Fusion is the combining of sensory data or data derived from sensory
data such that the resulting information is in some sense better than
would be possible when these sources were used individually.
The data sources for a fusion process are not specified to originate from
identical sensors. McKee distinguishes direct fusion, indirect fusion and fusion
of the outputs of the former two [49]. Direct fusion means the fusion of sensor
data from a set of heterogeneous or homogeneous sensors, soft sensors, and
history values of sensor data, while indirect fusion uses information sources
like a priori knowledge about the environment and human input. Therefore,
sensor fusion describes direct fusion systems, while information fusion also
encompasses indirect fusion processes.
Since “data fusion” still is a standard term in the scientific community for
earth image data processing, it is recommended not to use the stand-alone
term “data fusion” in the meaning of “low-level data fusion”. Thus, unless
“data fusion” is meant as proposed by the earth science community, a prefix
like “low-level” or “raw” would be adequate.
The sensor fusion definition above does not require that inputs are pro-
duced by multiple sensors, it only says that sensor data or data derived from
sensor data have to be combined. For example, the definition also encompasses
sensor fusion systems with a single sensor that take multiple measurements
subsequently at different instants which are then combined.
Another frequently used term is multisensor integration. Multisensor inte-
gration means the synergistic use of sensor data for the accomplishment of a
task by a system. Sensor fusion is different to multisensor integration in the
sense that it includes the actual combination of sensory information into one
representational format [63, 44]. The difference between sensor fusion and mul-
tisensor integration is outlined in figure 1. The circles S
1
, S
2
, and S
3
depict
physical sensors that provide an interface to the process environment. Block
diagram 1(a) shows that the sensor data is converted by a sensor fusion block
into a respective representation of the variables of the process environment.
2
http://www.inforfusion.org/mission.htm
3
Environment
S
1
S
3
S
2
Sensor Fusion
e
.g., Voting,Averaging
Internal Representation
of Environment
Control Application
(a) Sensor fusion
Environment
S
1
S
3
S
2
Control Application
(b) Multisensor integration
Figure 1: Block diagram of sensor fusion and multisensor integration
These data is then used by a control application. In contrast, figure 1(b) illus-
trates the meaning of multisensor integration, where the different sensor data
are directly processed by the control application.
2.1 Motivation for Sensor Fusion
Systems that employ sensor fusion methods expect a number of benefits over
single sensor systems. A physical sensor measurement generally suffers from
the following problems:
Sensor Deprivation: The breakdown of a sensor element causes a loss of
perception on the desired object.
Limited spatial coverage: Usually an individual sensor only covers a re-
stricted region. For example a reading from a boiler thermometer just
provides an estimation of the temperature near the thermometer and may
fail to correctly render the average water temperature in the boiler.
Limited temporal coverage: Some sensors need a particular set-up time to
perform and to transmit a measurement, thus limiting the maximum fre-
quency of measurements.
Imprecision: Measurements from individual sensors are limited to the preci-
sion of the employed sensing element.
4
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