Borden, Brett 1954
Overview
Works:  26 works in 47 publications in 1 language and 1,319 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 194 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 194 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
)
14 editions published in 1999 in English and held by 136 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
14 editions published in 1999 in English and held by 136 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
What is the radar tracking "glint" problem and can it be solved? by
Brett Borden(
Book
)
1 edition 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
1 edition 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
Enhanced downrange profiles of complex targets using wideband radar echo returns by
Brett Borden(
Book
)
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
THzimaging ThroughtheWall using the Born and Rytov approximation by Kwangmoon Lee(
)
1 edition published in 2012 in Undetermined and held by 1 WorldCat member library worldwide
We investigated an inverse imaging problem by applying the Rytov approximation for ThroughtheWall Imaging using THz waves. In the beginning, we studied some properties of THz waves and the physical conditions for THz imaging in matter. Then we started with Maxwell's equations to derive a model for the transmission of Green's functions and used a LippmanSchwinger integral equation and Rytov approximation to predict the scattered field. We applied the Lcurve method for the selection of regularization parameters, and then presented the reconstruction algorithm and illustrated the result with numerical simulations. We also compared this result to the one obtained by the Born approximation
1 edition published in 2012 in Undetermined and held by 1 WorldCat member library worldwide
We investigated an inverse imaging problem by applying the Rytov approximation for ThroughtheWall Imaging using THz waves. In the beginning, we studied some properties of THz waves and the physical conditions for THz imaging in matter. Then we started with Maxwell's equations to derive a model for the transmission of Green's functions and used a LippmanSchwinger integral equation and Rytov approximation to predict the scattered field. We applied the Lcurve method for the selection of regularization parameters, and then presented the reconstruction algorithm and illustrated the result with numerical simulations. We also compared this result to the one obtained by the Born approximation
Bispectral method for radar target recognition by Jiunn Wah Yeo(
)
1 edition published in 2012 in Undetermined and held by 1 WorldCat member library worldwide
Target recognition and identification in battlefields has been a crucial determinant to the ultimate success or failure of modern military campaigns. Since World War II, the Identification of Friend or Foe (IFF) systems installed in radar systems have served as the primary cooperative target identification techniques based on the "question and answer" interrogation loop of unidentified aircraft. However, the IFF system has a number of limitations that pose significant challenges in the positive identification of hostile and neutral aircrafts, which can lead to a catastrophic outcome of fratricide and the possible elimination of a friendly or commercial aircraft. To reduce the probability of fratricide and enhance the effectiveness and robustness of target identification, this research will examine the radar NonCooperative Target Recognition (NCTR) technique of using the bispectral signatures of backscattered radar signals. The basic idea is that the geometry of the target scatterers and their mutual interactions impose features in the reflected radar signal that are typical and unique to the target of interests. The bispectrum can be used to detect these multiple interactions features which then may be used to match against a reference database that contains signatures of different target types for recognition and identification
1 edition published in 2012 in Undetermined and held by 1 WorldCat member library worldwide
Target recognition and identification in battlefields has been a crucial determinant to the ultimate success or failure of modern military campaigns. Since World War II, the Identification of Friend or Foe (IFF) systems installed in radar systems have served as the primary cooperative target identification techniques based on the "question and answer" interrogation loop of unidentified aircraft. However, the IFF system has a number of limitations that pose significant challenges in the positive identification of hostile and neutral aircrafts, which can lead to a catastrophic outcome of fratricide and the possible elimination of a friendly or commercial aircraft. To reduce the probability of fratricide and enhance the effectiveness and robustness of target identification, this research will examine the radar NonCooperative Target Recognition (NCTR) technique of using the bispectral signatures of backscattered radar signals. The basic idea is that the geometry of the target scatterers and their mutual interactions impose features in the reflected radar signal that are typical and unique to the target of interests. The bispectrum can be used to detect these multiple interactions features which then may be used to match against a reference database that contains signatures of different target types for recognition and identification
Throughthewall imaging from electromagnetic scattered field measurements by
Jerry Kim(
)
1 edition published in 2012 in Undetermined and held by 1 WorldCat member library worldwide
We investigate an inverse imaging problem for TWI (Throughthewall Imaging) using frequencies between 500 GHz and 1 THz. Starting from first principles, this thesis uses Maxwells equations to develop a model for the transmission Greens function. This simplified model is then used in a LippmanSchwinger integral equation to predict the scattered field associated with interrogating THz waves. We investigate the effects of wave propagation through isotropic media, and present methods for creating images from the scattered field. These methods are examined using simulated data
1 edition published in 2012 in Undetermined and held by 1 WorldCat member library worldwide
We investigate an inverse imaging problem for TWI (Throughthewall Imaging) using frequencies between 500 GHz and 1 THz. Starting from first principles, this thesis uses Maxwells equations to develop a model for the transmission Greens function. This simplified model is then used in a LippmanSchwinger integral equation to predict the scattered field associated with interrogating THz waves. We investigate the effects of wave propagation through isotropic media, and present methods for creating images from the scattered field. These methods are examined using simulated data
Nonlinear transformation optics techniques in the design of counterdirected energy weapons shields for satellites by Matthew DeMartino(
)
in Undetermined and held by 1 WorldCat member library worldwide
The purpose of this thesis is to examine the feasibility of using an emerging technique, called transformation optics (TO), in designing materials to be used as a defense against directed energy weapons for satellites. In order to do this, a method of determining the effectiveness of TO against highintensity fields must be demonstrated. These highintensity fields will cause a nonlinear response in the material and it is this nonlinear response that will be studied. TO has been shown to be effective when dealing with lower intensity fields and thus linear responses in matter[2]. This thesis will attempt to model the nonlinear response and solve for the fields due to this response. The fields induced by the nonlinear response are considered an error field. To solve for the error field, a method to model the nonlinear response will be derived using Millers Rule. Stemming from the LorentzDrude model of polarization, Millers Rule serves as a model of the nonlinear response but has been shown experimentally to be approximately true[3]. Once the nonlinear response has been found, the error can be analyzed as an electrostatic problem to determine if the polarization or magnetization induces a field within the cloaked area
in Undetermined and held by 1 WorldCat member library worldwide
The purpose of this thesis is to examine the feasibility of using an emerging technique, called transformation optics (TO), in designing materials to be used as a defense against directed energy weapons for satellites. In order to do this, a method of determining the effectiveness of TO against highintensity fields must be demonstrated. These highintensity fields will cause a nonlinear response in the material and it is this nonlinear response that will be studied. TO has been shown to be effective when dealing with lower intensity fields and thus linear responses in matter[2]. This thesis will attempt to model the nonlinear response and solve for the fields due to this response. The fields induced by the nonlinear response are considered an error field. To solve for the error field, a method to model the nonlinear response will be derived using Millers Rule. Stemming from the LorentzDrude model of polarization, Millers Rule serves as a model of the nonlinear response but has been shown experimentally to be approximately true[3]. Once the nonlinear response has been found, the error can be analyzed as an electrostatic problem to determine if the polarization or magnetization induces a field within the cloaked area
Doppleronly synthetic aperture radar by Cheng Lock Charles Chua(
)
1 edition published in 2012 in Undetermined and held by 1 WorldCat member library worldwide
SAR has traditionally been performed using highrange resolution data. This thesis is a proofofconcept that the imaging process can be performed using highdoppler resolution data. The system requires a simple continuous wave transmitter, and the signal returns are confined to a narrow band. Highdoppler resolution data is collected along an isodoppler line for different perspectives of the target. This data, a sinogram, is equivalent to taking the Radon transform of the target. The Fourier transform of the sinogram from each perspective (at an angle eÌ ) gives a slice of the twodimensional transform subtending an angle eÌ with the axis, with equally distributed points along the line. This results in a higher density of points near the centre. Some form of weighting is necessary. This weighting is part of the Filtered Backprojection algorithm to determine the Inverse Radon transform of the sinogram. The backprojection portion is a simple redistribution of data back along the original projection line. Images were modeled by delta functions to test the above algorithm. The main points noted were that the reconstructed image was a scaled version of the original image, and that the quality of the image improved when more perspectives of the target were taken
1 edition published in 2012 in Undetermined and held by 1 WorldCat member library worldwide
SAR has traditionally been performed using highrange resolution data. This thesis is a proofofconcept that the imaging process can be performed using highdoppler resolution data. The system requires a simple continuous wave transmitter, and the signal returns are confined to a narrow band. Highdoppler resolution data is collected along an isodoppler line for different perspectives of the target. This data, a sinogram, is equivalent to taking the Radon transform of the target. The Fourier transform of the sinogram from each perspective (at an angle eÌ ) gives a slice of the twodimensional transform subtending an angle eÌ with the axis, with equally distributed points along the line. This results in a higher density of points near the centre. Some form of weighting is necessary. This weighting is part of the Filtered Backprojection algorithm to determine the Inverse Radon transform of the sinogram. The backprojection portion is a simple redistribution of data back along the original projection line. Images were modeled by delta functions to test the above algorithm. The main points noted were that the reconstructed image was a scaled version of the original image, and that the quality of the image improved when more perspectives of the target were taken
Advanced research into imaging of moving targets by Christopher S Carroll(
)
1 edition published in 2012 in Undetermined and held by 1 WorldCat member library worldwide
Radar imaging is an area of tremendous interest as radarbased systems are perhaps the only allweather, long range remote sensing systems. However, radar's continued utility and application in wideranging areas is fundamentally dependent on the ability to produce highquality, artifactfree imagery. To date, the use of radar to identify and image moving objects remains of great interest. It is well known that motion in the scene gives rise to mispositioning or streaking when target motion is not properly addressed. Many techniques have been developed to handle moving objects, but these techniques typically make use of the startstop approximation, in which a target in motion is assumed to be momentarily stationary while it is being interrogated by a radar pulse. A new linearized imaging theory that combines the spatial, temporal and spectral aspects of scattered waves has been developed. This thesis studies the performance of this new imaging scheme. It also shows that the behavior of the imaging system is dependent on the aperture geometry and choice of radar waveforms transmitted
1 edition published in 2012 in Undetermined and held by 1 WorldCat member library worldwide
Radar imaging is an area of tremendous interest as radarbased systems are perhaps the only allweather, long range remote sensing systems. However, radar's continued utility and application in wideranging areas is fundamentally dependent on the ability to produce highquality, artifactfree imagery. To date, the use of radar to identify and image moving objects remains of great interest. It is well known that motion in the scene gives rise to mispositioning or streaking when target motion is not properly addressed. Many techniques have been developed to handle moving objects, but these techniques typically make use of the startstop approximation, in which a target in motion is assumed to be momentarily stationary while it is being interrogated by a radar pulse. A new linearized imaging theory that combines the spatial, temporal and spectral aspects of scattered waves has been developed. This thesis studies the performance of this new imaging scheme. It also shows that the behavior of the imaging system is dependent on the aperture geometry and choice of radar waveforms transmitted
Radar polarimetry by Siow Yin Yong(
)
1 edition published in 2012 in Undetermined and held by 1 WorldCat member library worldwide
Radar polarimetry is a recent development seeing active research only in the last few decades. The phenomenon that optimal (maximal power) reflected fields exist in both the copolarized and cross polarized channels of the receiving radar antenna was first introduced by Kennaugh and Huynen. Current research efforts focus on target scattering matrices and relating them to physical attributes of the target. This thesis provides a comprehensive survey of the polarimetry theories that have been put forth by various researchers to characterize, manipulate and optimize target radar returns via polarization states. One such theory is the Target Decomposition (TD) theorem that seeks to decompose the target returns into individual scattering mechanisms. The topic of optimization of polarization states of the incident field for maximizing power return is also examined. Two models are implemented in Matlab to verify and demonstrate these polarimetry theories. The first model uses TD theorems to simulate foliage clutter and study its effect on the polarization of the incident electric field. A (simulated) static dihedral target is introduced and its effect on wave polarization is also simulated. The second model studies optimization of polarization states. Both models are able to produce the expected results for known canonical targets
1 edition published in 2012 in Undetermined and held by 1 WorldCat member library worldwide
Radar polarimetry is a recent development seeing active research only in the last few decades. The phenomenon that optimal (maximal power) reflected fields exist in both the copolarized and cross polarized channels of the receiving radar antenna was first introduced by Kennaugh and Huynen. Current research efforts focus on target scattering matrices and relating them to physical attributes of the target. This thesis provides a comprehensive survey of the polarimetry theories that have been put forth by various researchers to characterize, manipulate and optimize target radar returns via polarization states. One such theory is the Target Decomposition (TD) theorem that seeks to decompose the target returns into individual scattering mechanisms. The topic of optimization of polarization states of the incident field for maximizing power return is also examined. Two models are implemented in Matlab to verify and demonstrate these polarimetry theories. The first model uses TD theorems to simulate foliage clutter and study its effect on the polarization of the incident electric field. A (simulated) static dihedral target is introduced and its effect on wave polarization is also simulated. The second model studies optimization of polarization states. Both models are able to produce the expected results for known canonical targets
Analysis of pointspread function for imaging moving targets from scattered waves by Lu Pin Tan(
)
1 edition published in 2012 in Undetermined and held by 1 WorldCat member library worldwide
Radar imaging is an area of tremendous interest as radarbased systems are perhaps the only allweather, long range remote sensing systems. However, radar's continued utility and application in wideranging areas is fundamentally dependent on the ability to produce highquality, artifactfree imagery. To date, the use of radar to identify and image moving objects remains of great interest, and it is well known that motion in the scene gives rise to mispositioning or streaking when target motion is not addressed. Many techniques have been developed to handle moving objects, but these techniques make use of the startstop approximation, in which a target in motion is assumed to be momentarily stationary while it is being interrogated by a radar pulse. A new linearized imaging theory that combines the spatial, temporal and spectral aspects of scattered waves has been developed. This thesis studies the performance of this new imaging scheme via analysis of the point spread function. It is shown that the imaging PSF localizes, and is translation invariant in phasespace. It is also shown that the behavior of the imaging system is dependent on the aperture geometry and choice of radar waveforms transmitted
1 edition published in 2012 in Undetermined and held by 1 WorldCat member library worldwide
Radar imaging is an area of tremendous interest as radarbased systems are perhaps the only allweather, long range remote sensing systems. However, radar's continued utility and application in wideranging areas is fundamentally dependent on the ability to produce highquality, artifactfree imagery. To date, the use of radar to identify and image moving objects remains of great interest, and it is well known that motion in the scene gives rise to mispositioning or streaking when target motion is not addressed. Many techniques have been developed to handle moving objects, but these techniques make use of the startstop approximation, in which a target in motion is assumed to be momentarily stationary while it is being interrogated by a radar pulse. A new linearized imaging theory that combines the spatial, temporal and spectral aspects of scattered waves has been developed. This thesis studies the performance of this new imaging scheme via analysis of the point spread function. It is shown that the imaging PSF localizes, and is translation invariant in phasespace. It is also shown that the behavior of the imaging system is dependent on the aperture geometry and choice of radar waveforms transmitted
What is the Radar Tracking 'Glint' Problem and Can It Be Solved(
)
1 edition published in 1993 in English and held by 0 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 ... Diversity methods, Glint, Scintillation, Tracking error
1 edition published in 1993 in English and held by 0 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 ... Diversity methods, Glint, Scintillation, Tracking error
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
Handbook of Mathematical Methods in Imaging A Springer Live Reference by
Andy Adler(
)
1 edition published in 2011 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 0 WorldCat member libraries worldwide
Enhanced DownRange Profiles of Complex Targets Using Wideband Radar Echo Returns(
)
1 edition published in 1993 in English and held by 0 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
1 edition published in 1993 in English and held by 0 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
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
Radar Scattering Center Localization by Subspace Fitting(
)
1 edition published in 2001 in English and held by 0 WorldCat member libraries 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
1 edition published in 2001 in English and held by 0 WorldCat member libraries 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
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)
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
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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
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