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Within this metaphor, sensor data relates to the short-term knowledge, while long-term knowledgerelates to relatively static factual and procedural knowledge.. As illustrated in Figure 6

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Within this metaphor, sensor data relates to the short-term knowledge, while long-term knowledge

relates to relatively static factual and procedural knowledge Because the goal of both biological and

artificial situation awareness systems is the development and maintenance of the current relevant

percep-tion of the environment, the dynamic situation descriptionrepresents medium-term memory In both

biological and tactical data fusion systems, current emphasizes the character of the dynamically changing

scene under observation, as well as the potentially time-evolving analysis process that could involve

interactions among a network of distributed fusion processes Memory limitations and the critical role

medium-term memory plays in both biological and artificial situation awareness systems enables only

relevant states to be maintained Because sensor measurements are inherently information-limited,

real-world events are often nondeterministic, and uncertainties often exist in the reasoning process, a disparity

between perception and reality must be expected

As illustrated in Figure 6.7, sensor observables represent short-term declarative knowledge and the

situation description represents medium-term declarative knowledge Templates, filters, and the like are

static declarative knowledge; domain knowledge includes both static (long-term) and dynamic

(medium-and short-term) declarative context knowledge; (medium-and F represents the fusion process reasoning (long-term

procedural) knowledge Thus, as in biological situation awareness development, machine-based

approaches require the interaction among short-, medium-, and long-term declarative knowledge, as

well as long-term procedural knowledge Medium-term knowledge tends to be highly perishable, while

long-term declarative and procedural knowledge is both learned and forgotten much more slowly With

the exception of the difference in the time constants, learning of long-term knowledge and update of the

situation description are fully analogous operations

In general, short-, medium-, and long-term knowledge can be either context-sensitive or

context-insensitive In this chapter, context is treated as a conditional dependency among objects, attributes, or

functions (e.g., f(x1,x2|x3 = a)) Thus, context represents both explicit and implicit dependencies or

conditioning that exist as a result of the state of the current situation representation or constraints

imposed by the domain and/or the environment

Short-term knowledge is dynamic, perishable, and highly context sensitive Medium-term knowledge

is less perishable and is learned and forgotten at a slower rate than short-term knowledge Medium-term

knowledge maintains the context-sensitive situation description at all levels of abstraction The inherent

context-sensitivity of short- and medium-term knowledge indicates that effective interpretation can be

achieved only through consideration of the broadest possible context

Long-term knowledge is relatively nonperishable information that may or may not be

context-sensitive Context-insensitive long-term knowledge is either generic knowledge, such as terrain/elevation,

soil type, vegetation, waterways, cultural features, system performance characteristics, and coefficients

of fixed-parameter signal filters, or context-free knowledge that simply ignores any domain sensitivity

FIGURE 6.7 Biologically motivated metaphor for the data fusion process.

Sensor input

Short-term declarative

Fusion Process, F

Long-term procedural

Database

Long-term declarative

Situation Description

Medium-term declarative

Update

Learning

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Contrasting Approaches

to Combine Evidence

7.1 Introduction

7.2 Alternative Approaches to Combine Evidence

Combining Evidence 7.3 An Example Data Fusion System

7.4 Contrasts and Conclusion

Appendix 7.A The Axiomatic Definition of Probability

References

7.1 Introduction

A broad consensus holds that a probabilistic approach to evidence accumulation is appropriate because

it enjoys a powerful theoretical foundation and proven guiding principles Nevertheless, many would argue that probability theory is not suitable for practical implementation on complex real-world prob-lems Further debate arises when considering people’s subjective opinions regarding events of interest Such debate has resulted in the development of several alternative approaches to combining evidence.1-3 Two of these alternatives, possibility theory (or fuzzy logic)4-6 and belief theory (or Dempster-Shafer theory),7-10 have each achieved a level of maturity and a measure of success to warrant their comparison with the historically older probability theory

This chapter first provides some background on each of the three approaches to combining evidence

in order to establish notation and to collect summary results about the approaches Then an example system that accumulates evidence about the identity of an aircraft target is introduced The three methods

of combining evidence are applied to the example system, and the results are contrasted At this point, possibility theory is dropped from further consideration in the rest of the chapter because it does not seem well suited to the sequential combination of information that the example system requires Finally,

an example data fusion system is constructed that determines the presence and location of mobile missile batteries The evidence is derived from multiple sensors and is introduced into the system in temporal sequence, and a software component approach is adopted for its implementation Probability and belief theories are contrasted within the context of the example system

One key idea that emerges for simplifying the solution of complex, real-world problems involves collections of spaces This is in contradistinction to collections of events in a common space Although Joseph W Carl

Harris Corporation

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II

Advanced Tracking and Association Methods

8 Target Tracking Using Probabilistic Data Association-Based Techniques with

Yaakov Bar-Shalom

9 An Introduction to the Combinatorics of Optimal and Approximate Data

Suihua Lu, and Brian J Suchomel

12 General Decentralized Data Fusion with Covariance Intersection (CI)

Simon Julier and Jeffrey K Uhlmann

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Target Tracking Using

Probabilistic Data Association-Based Techniques with Applications to Sonar, Radar, and EO Sensors

8.1 Introduction

8.2 Probabilistic Data Association

Nonparametric PDA 8.3 Low Observable TMA Using the ML-PDA Approach with Features

Likelihood Estimator Combined with PDA — The

8.4 The IMMPDAF for Tracking Maneuvering Targets

8.5 A Flexible-Window ML-PDA Estimator for Tracking Low Observable (LO) Targets

8.6 Summary

References

8.1 Introduction

In tracking targets with less-than-unity probability of detection in the presence of false alarms (clutter), data association — deciding which of the received multiple measurements to use to update each track —

is crucial A number of algorithms have been developed to solve this problem.1-4 Two simple solutions are the Strongest Neighbor Filter (SNF) and the Nearest Neighbor Filter (NNF) In the SNF, the signal

T Kirubarajan

University of Connecticut

Yaakov Bar-Shalom

University of Connecticut

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