Gold University of Minnesota M. Skip to main content.University of Minnesota. Home page.

What's inside.

MCIM Home

Center Information

Industrial Partners

Internships

People
  Faculty
  Math Links
  MCIM Students

   

IMA/MCIM Industrial Seminar

School of Mathematics

 

Contact Info:

MCIM, School of Mathematics
537 Vincent Hall
206 Church Street SE
University of Minnesota
Minneapolis, MN 55455

612-624-2333 (fax)



 


Minnesota Center for Industrial Mathematics

Improved Data Structures, Multiple Targets/Target Types and Multiple Sensors in Discrimination Based Sensor Management
Troy Jenison


Master of Science, July 1996


ABSTRACT
INTRODUCTION

There are many applications where sensor resources need to be managed. One of the primary applications is in the area of tactical fighter aircraft. In this application effective sensor management reduces the pilot workload by controlling his sensors and allocating limited sensor resources to effectively detect, classify and track targets.

To better understand the importance of classifying targets consider typical target classes. An abbreviated list of target classes might include friendly fighters, bombers, and cargo aircraft; threat fighters, bombers and cargo aircraft; and civilian airliners. A fighter must avoid engagement of friendly or civilian aircraft, and its engagement strategy and weapons selections may vary depending on the type of enemy aircraft.

Sensors have become increasingly important to the success of tactical air missions. Once a pilot leaves the ground, he is almost entirely reliant on the sensor suite for assessment of the environment. Although intelligence briefings are provided to pilots prior to missions, this information may be inaccurate because of the dynamic nature of the environment. Also, it is usually insufficiently detailed. Many of the weapons on modern aircraft are capable of engaging targets from beyond visual range. In order to take advantage of this capability, these weapons must be deployed based on sensor measurements only. For these reasons the sensor suite and its management play a crucial role in the effectiveness of modern aircraft.

Many factors have contributed to the need for a sensor management system on modern aircraft. These include, increased number and types of sensors in the sensor suite, increased agility of sensors, increased pilot work-load, and improvements in the tactics of threat forces.

Increased pilot work-load
Due to the high costs associated with training aircrew members, the trend has been to reduce the size of the crew thus placing larger demands on them. This is especially true of fighters which are often single-seat aircraft. This places extraordinary demands on the fighter pilot because he must handle communications, navigation, weapon systems, increased number of sensors and more complex tactics. In addition, airframe performance has increased substantially making the whole environment more dynamic.

The additional sensing resources have increased the amount of data collected and the number of decisions to be made by the sensor operator. The amount of data collected, along with an increased numbers of choices available to the operator, make it likely that the operator will miss tactical opportunities for become overloaded. With additional sensing resources, a pilot's success can be improved if a sensor management system is employed.

Increased Agility/Capabilities of Sensors
One of the most significant advances in sensing capability is the Electronically Scanned Antenna (ESA) radar system. Prior to the development of ESA, radar antennae were mechanically gimbaled. Due to the inertia involved in moving the gimbaled system of a Mechanically Scanned Antenna (MSA) radar system, changing the position of the antenna is slow which makes only simple search patterns feasible. On the other hand an ESA system can be repositioned in milliseconds, with little of no penalty for large swings in the antenna angle, thus allowing for more complicated search patterns.

Without the mechanical burden of an MSA system, an ESA system is able to perform operations that are impractical with an MSA system. For example, the ESA system can easily be backscanned, so that if an initial look at a sector where a target is expected does not produce a detection, that sector can easily and quickly be scanned again.

There are several newer sensors, such as infrared and optical devices, which have been added to the sensor suite of aircraft over the years, that do not have the agility of an ESA radar system since they are typically mechanically gimbaled. However, because they typically have a narrow field-of-view and long pointing time, their performance can be improved through appropriate scheduling and management. Another sensor with an agile "aperture" is an Electronic Support Measures (ESM) receiver. The ESM receiver is designed to detect electromagnetic radiation from other aircraft. Due to hardware limitations of a practical ESM receiver, only a limited band of frequencies can be monitored at a time. Thus, selection of the frequency band can be treated as an "aperture" to be managed.

Most of these sensors also have the capability of operating in multiple modes. For example, a radar system is usually capable of using different transmit waveforms and pulse repetition rates, each of which has particular advantages in determining range, range rate, or azimuth attributes of a target. Also, radar systems have variable power levels, making it possible to alternate a high power signal to maximize detections and a low power signal to minimize detection by enemy ESM receivers. These additional options further complicate the task operating sensor suite thus emphasizing the need for a sensor management system.

Improvements in Aircraft/Tactics of Threat Forces
In the cat and mouse game of fighter aircraft technology and tactics, gains made in our aircraft can be expected to be met by improvements, counter measures and tactics or similar advances from threat forces. Thus, a pilot can expect to face an enemy with many , if not more, of the sensors and weapons systems mentioned earlier.

The sensors can be divided into two classes. Active and passive sensors. The distinction between these classes is that active sensors emit energy whereas purely passive sensors do not. Since enemy forces will have ESM receivers, it is important to use active sensors cautiously. Some sensor have so-called low probability of intercept (LPI) modes. Some examples of the LPI techniques include limiting the spatial regions where active sensors are used or using low power or spread-spectrum waveforms to lower radiated power levels. Actual sensor management system should support LPI capabilities. The LPI level of the sensor manager would likely be selected by the pilot and the responsibility of such things as determining what LPI modes the sensors should be used and how to select the active sensors in the various spatial sectors. With the additional restrictions imposed by the need to operate in an LPI mode, the effective use of sensors becomes even more critical.

Previous Work
There are two categories in which the work on sensor management can be classified: normative techniques, and descriptive or knowledge-based techniques. The normative approaches generally use some a priori data about the environment and then use a mathematical foundation or other formal decision making criterion to make decisions. The descriptive techniques attempt to mimic the decisions that a human would make in a similar situation by a rule-based approach [Popoli].

Much of the previous work in sensor management falls into the category of descriptive techniques. Many of these approaches use an ad hoc technique but there has also been the used of fuzzy set theory and fuzzy reasoning [Popoli].

Several normative techniques have been investigated or proposed for use in sensor management. These include the use of Probabilistic Reasoning, Utility Theory, Evidential Reasoning, Genetic Algorithms, Dynamic Programming, Optimal Control Theory, and Fuzzy Logic and Control. These various techniques are evaluated in [Fung, Horowitz], [Popoli] and [Llinas].

An Information Theory approach is also in the normative techniques category and this forms the basis for the work in this paper. [Schmaedeke] primarily covers an Information Theory approach to the tracking problem. This paper is an extension of the work in [Kastella], which addresses the detection/classification problem of sensor management.

A heuristic for sensor management based on discrimination directed search is presented in [Kastella]. This is an example of the general problem of sensor management which is to determine how to search a surveillance volume, which may have multiple targets of multiple classes, with agile sensors to determine with as few observations as possible where the targets are located as well as which target class they belong to. [Kastella] also presents a monte carlo analysis of this method applied to the detection problem, and compares it to a direct search. For the small problem examined in [Kastella] (100 cells), a roughly 6 dB gain in using the discrimination directed search is observed.

This new paper extends these results in four significant ways.

(i) First, the data structures to implement the algorithm in the earlier work were quite inefficient. As a result, only small problems could be examined in monte carlo studies. This is improved in this work, allowing much larger problems to be studied, and the relative performance of the algorithm as a function of surveillance volume is more efficient. this is an important issue in the tactical air application due to the highly dynamic nature of the problem it requires a fast algorithm to keep pace with the environment.

(ii) Although the formalism of [Kastella] incorporated multiple targets and target types, the monte carlo study was limited to detection of a single target of a known type. In this paper we examine multiple targets and multiple target types.

(iii) Additionally, a scheme for employing multiple sensors/sensor modes is introduced and studied. Of particular interest is the case where there are two sensors, one which is best at detection and another most useful for target classification.

(iv) Finally, we analyze the sensor dynamics generated by this sensor management scheme. by this we mean how does the probability that a sensor is used against a surveillance cell vary with time when each sensor dwell is selected to maximize the expected discrimination gain. For example, an ideal sensor manager might initially favor sensor dwells against target- containing cells. Once these cells have been well-characterized, the sensor manager can then spend time confirming that there are no targets in the empty cells.

The rest of this paper is organized as follows: Section 2 presents a method of extending the results of [Kastella] to utilize multiple sensors and multiple targets. Section 3 shows how a heap-based data structures is used to improve the efficiency of the algorithm and thus enable larger problems to be studied. Section 4 discusses the results that were obtained from the previous sections. Section 5 narrates the conclusions and further work.

Research supported by the Minnesota Center for Industrial Mathematics (MCIM)

 
The University of Minnesota is an equal opportunity educator and employer.