Borden, Brett 1954
Overview
Works:  13 works in 39 publications in 1 language and 1,386 library holdings 

Roles:  Author 
Classifications:  TK6575, 621.3848 
Publication Timeline
.
Most widely held works by
Brett Borden
Fundamentals of radar imaging by
Margaret Cheney(
Book
)
8 editions published in 2009 in English and Undetermined and held by 192 WorldCat member libraries worldwide
Radar imaging is a mathematically rich subject with many interesting applications and a large variety of challenging, mathematical open problems. The goal of this book is to provide mathematicians with the background they need to work in the field, building on the foundation of the underlying partial differential equations. The focus is on showing the connection between the physics and the mathematics and on supplying an intuitive mathematical understanding of basic concepts. The book includes a description of how a radar system works
8 editions published in 2009 in English and Undetermined and held by 192 WorldCat member libraries worldwide
Radar imaging is a mathematically rich subject with many interesting applications and a large variety of challenging, mathematical open problems. The goal of this book is to provide mathematicians with the background they need to work in the field, building on the foundation of the underlying partial differential equations. The focus is on showing the connection between the physics and the mathematics and on supplying an intuitive mathematical understanding of basic concepts. The book includes a description of how a radar system works
Radar imaging of airborne targets : a primer for applied mathematicians and physicists by
Brett Borden(
Book
)
16 editions published in 1999 in English and held by 140 WorldCat member libraries worldwide
"This book has been written as a primer for physicists and applied mathematicians who are interested in understanding the subject and its current mathematical research issues. The book presents the issues and techniques associated with radar imaging from a mathematical point of view rather than from an instrumentation perspective. This is accomplished by concentrating on the scattering issues, the inverse scattering problem, and the approximations that are usually made by practical algorithm developers. The author also explains the consequences of these approximations to the resultant radar image and its interpretation, and examines methods for reducing modelbased error."Jacket
16 editions published in 1999 in English and held by 140 WorldCat member libraries worldwide
"This book has been written as a primer for physicists and applied mathematicians who are interested in understanding the subject and its current mathematical research issues. The book presents the issues and techniques associated with radar imaging from a mathematical point of view rather than from an instrumentation perspective. This is accomplished by concentrating on the scattering issues, the inverse scattering problem, and the approximations that are usually made by practical algorithm developers. The author also explains the consequences of these approximations to the resultant radar image and its interpretation, and examines methods for reducing modelbased error."Jacket
Enhanced downrange profiles of complex targets using wideband radar echo returns by
Brett Borden(
Book
)
2 editions published in 1993 in English and held by 2 WorldCat member libraries worldwide
Small radar detection and tracking systemsin particular, radar guided missile systemsare of great utility because of their allweather performance and their long range capabilities. A major drawback with these systems results from the relatively simple data that they collect and the difficulty in using these data for target classification and identification purposes. We propose a technique which employs the statistics of the tracking data used by many missile seekers and which creates a crossrange target structure map that can be expressed as a function of the target's downrange extent. These data consist of ordinary azimuth elevation phase monopulse measurements collected from a small set of (unknown) aspects presented by the target as it maneuvers. The method requires a minimal computational burden and holds the potential to be used for automatic (machinebased) target classification in realistic (time and data limited) environments ... Glint, Identification, Radar, Target ID
2 editions published in 1993 in English and held by 2 WorldCat member libraries worldwide
Small radar detection and tracking systemsin particular, radar guided missile systemsare of great utility because of their allweather performance and their long range capabilities. A major drawback with these systems results from the relatively simple data that they collect and the difficulty in using these data for target classification and identification purposes. We propose a technique which employs the statistics of the tracking data used by many missile seekers and which creates a crossrange target structure map that can be expressed as a function of the target's downrange extent. These data consist of ordinary azimuth elevation phase monopulse measurements collected from a small set of (unknown) aspects presented by the target as it maneuvers. The method requires a minimal computational burden and holds the potential to be used for automatic (machinebased) target classification in realistic (time and data limited) environments ... Glint, Identification, Radar, Target ID
What is the radar tracking "glint" problem and can it be solved? by
Brett Borden(
Book
)
2 editions published in 1993 in English and held by 2 WorldCat member libraries worldwide
"We present an elementary tutorial on the glint problem in radar tracking. Our approach uses a very simple model yet, because of several original observations, it allows us to make some very general observations about glint. In addition, we briefly survey the collected standard mitigating approaches and comment on their relative merits and shortcomings."Report documentation page
2 editions published in 1993 in English and held by 2 WorldCat member libraries worldwide
"We present an elementary tutorial on the glint problem in radar tracking. Our approach uses a very simple model yet, because of several original observations, it allows us to make some very general observations about glint. In addition, we briefly survey the collected standard mitigating approaches and comment on their relative merits and shortcomings."Report documentation page
Regularization of noisy ISAR images containing extended features by
Brett Borden(
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
Handbook of Mathematical Methods in Imaging by
Andy Adler(
Book
)
2 editions published in 2011 in Undetermined and English and held by 1 WorldCat member library worldwide
2 editions published in 2011 in Undetermined and English and held by 1 WorldCat member library worldwide
Radar Scattering Center Localization by Subspace Fitting(
Book
)
2 editions published in 2001 in English and held by 1 WorldCat member library worldwide
The application of radar data to the problem of noncooperative target recognition (NCTR) usually begins by estimating the position and strength of the significant scattering centers from the bright spot locations of a radar image (e.g., high range resolution (HRR) or inverse synthetic aperture radar (ISAR)). In practical situations, these images are usually contaminated by noise and can be of very low quality resolutionfactors that confound the scattering center localization process and can preclude NCTR by radar means. We describe a simple method, based on subspace fitting techniques, that can be applied to the position and strength estimation problem in this environment. The scheme is robust against noise corruption and allows for superresolved estimates of all (or some) of the scatterers. Examples based on synthetic data are presented
2 editions published in 2001 in English and held by 1 WorldCat member library worldwide
The application of radar data to the problem of noncooperative target recognition (NCTR) usually begins by estimating the position and strength of the significant scattering centers from the bright spot locations of a radar image (e.g., high range resolution (HRR) or inverse synthetic aperture radar (ISAR)). In practical situations, these images are usually contaminated by noise and can be of very low quality resolutionfactors that confound the scattering center localization process and can preclude NCTR by radar means. We describe a simple method, based on subspace fitting techniques, that can be applied to the position and strength estimation problem in this environment. The scheme is robust against noise corruption and allows for superresolved estimates of all (or some) of the scatterers. Examples based on synthetic data are presented
Noise Reduction of Undersampled ISAR Images by EntropyBased Regularization(
)
1 edition published in 1996 in English and held by 0 WorldCat member libraries worldwide
The research described in this report was performed during the 1996 fiscal year as part of an effort to improve radar classification and identification capabilities for noncooperative airborne targets. Effective radar based imaging techniques should be able to employ the information contained in both the amplitude and the phase of the scattered field data. Moreover, since practical radar systems collect restricted and noisy data, image reconstwction algorithms should allow for the inclusion of a priori information about the target and should attempt to mitigate the effects of noise. All three issuescomplexvalued data, prior information, and noise mitigationare often not adequately treated by conventional entropybased methods (and are mutually exclusive in many other approaches). We present a Bayesian regularization method that employs a crossentropy functional and does not require the measured data to positive and realvalued. In fact, this technique is not restricted to a particular type of data and we present reconstruction examples for several different imaging problems. The basic model of this approach is similar to that used in usual maximum a posteriori analysis and allows for a more general relationship between the image and its 'configuration entropy' than that usually employed
1 edition published in 1996 in English and held by 0 WorldCat member libraries worldwide
The research described in this report was performed during the 1996 fiscal year as part of an effort to improve radar classification and identification capabilities for noncooperative airborne targets. Effective radar based imaging techniques should be able to employ the information contained in both the amplitude and the phase of the scattered field data. Moreover, since practical radar systems collect restricted and noisy data, image reconstwction algorithms should allow for the inclusion of a priori information about the target and should attempt to mitigate the effects of noise. All three issuescomplexvalued data, prior information, and noise mitigationare often not adequately treated by conventional entropybased methods (and are mutually exclusive in many other approaches). We present a Bayesian regularization method that employs a crossentropy functional and does not require the measured data to positive and realvalued. In fact, this technique is not restricted to a particular type of data and we present reconstruction examples for several different imaging problems. The basic model of this approach is similar to that used in usual maximum a posteriori analysis and allows for a more general relationship between the image and its 'configuration entropy' than that usually employed
Radar Inverse Scattering Using Statistical Estimation of the Echo Phase Front Derivatives(
)
1 edition published in 1986 in English and held by 0 WorldCat member libraries worldwide
Many of the existing methods for asymptotic inverse scattering rely heavily on simplifying assumptions such as convex target structure and full aspect data sets
1 edition published in 1986 in English and held by 0 WorldCat member libraries worldwide
Many of the existing methods for asymptotic inverse scattering rely heavily on simplifying assumptions such as convex target structure and full aspect data sets
An Introduction to Wideband Ambiguity Functions and TimeScale Representations for Radar/Sonar Applications(
)
1 edition published in 1993 in English and held by 0 WorldCat member libraries worldwide
Recent advancements in the ability of radar/sonar systems to launch and analyze signals of very short time duration have caused many to reexamine the socalled wideband ambiguity function. Much of this work has been at a mathematical level that has placed it out of reach to many radar and sonar engineers. Some of the work has been incompleteoccasionally even incorrect. Our present pedagogical discussion uses the standard timefrequency motivation for timescale distributions. We compare and contrast the usual narrowband techniques with the wideband approach and explain how highresolution downrange imaging requires an understanding of the latter
1 edition published in 1993 in English and held by 0 WorldCat member libraries worldwide
Recent advancements in the ability of radar/sonar systems to launch and analyze signals of very short time duration have caused many to reexamine the socalled wideband ambiguity function. Much of this work has been at a mathematical level that has placed it out of reach to many radar and sonar engineers. Some of the work has been incompleteoccasionally even incorrect. Our present pedagogical discussion uses the standard timefrequency motivation for timescale distributions. We compare and contrast the usual narrowband techniques with the wideband approach and explain how highresolution downrange imaging requires an understanding of the latter
Application of Maximum Entropy Analysis to ISAR Imagery and Spurious Scatterer Location in Anechoic Chambers(
)
1 edition published in 1989 in English and held by 0 WorldCat member libraries worldwide
The maximum entropy method is applied in two problems, both of which require high resolution imaging from incomplete data
1 edition published in 1989 in English and held by 0 WorldCat member libraries worldwide
The maximum entropy method is applied in two problems, both of which require high resolution imaging from incomplete data
A Short Analysis of the Effects of System Thermal Noise on AngleofArrival Enhanced Range Profiles(
)
1 edition published in 1996 in English and held by 0 WorldCat member libraries worldwide
This report documents an effort to modify the effects of thermal noise error on a novel automatic target recognition technique applicable to airborne radar targets. The method uses the information about the target's crossrange structure that is statistically encoded in the radar tracking data and is potentially applicable to many existing radar missile systems. (MM)
1 edition published in 1996 in English and held by 0 WorldCat member libraries worldwide
This report documents an effort to modify the effects of thermal noise error on a novel automatic target recognition technique applicable to airborne radar targets. The method uses the information about the target's crossrange structure that is statistically encoded in the radar tracking data and is potentially applicable to many existing radar missile systems. (MM)
Experimental ProofOfConcept of Phase Derivative Based Range Profile Enhancement ATR(
)
1 edition published in 1994 in English and held by 0 WorldCat member libraries worldwide
This report documents an initial effort to experimentally verify a novel automatic target recognition technique applicable to airborne radar targets. The method uses the information about the target's crossrange structure, which is statistically encoded in the radar tracking data and is potentially applicable to many existing radar missile systems
1 edition published in 1994 in English and held by 0 WorldCat member libraries worldwide
This report documents an initial effort to experimentally verify a novel automatic target recognition technique applicable to airborne radar targets. The method uses the information about the target's crossrange structure, which is statistically encoded in the radar tracking data and is potentially applicable to many existing radar missile systems
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Related Identities
 Cheney, Margaret 1955 Author
 Conference Board of the Mathematical Sciences
 National Science Foundation (U.S.)
 Society for Industrial and Applied Mathematics
 National Science Foundation
 NAVAL AIR WARFARE CENTER WEAPONS DIV CHINA LAKE CA
 Naval Air Warfare Center (U.S.). Weapons Division
 United States Office of Naval Research
 Arridge, Simon R.
 Adler, Andy Author
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Tony Sale Electronics engineer, computer hardware engineer, and curator
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