Home
Speaker
Schedule
Lectures
Outline
Application
Organizers
Background
Open problems
Links
Participants
Pictures/Media
Conference flyer


The outline of the ten lectures to be delivered by Prof. Cheney
is as follows:
Lecture 1:
Introduction to radar. The advantages of radar. A sketch of
radar history. Rudimentary imaging: high rangeresolution (HRR)
imaging, realaperture imaging, and planposition indicator.
Introduction to SAR (Synthetic Aperture Radar). Applications of SAR. Introduction to Maxwell's
equations. Derivation of the scalar wave equation. Radar frequency
bands. Decibels. Mathematical model for steppedfrequency systems.
Lecture 2:
Introduction to pulsed systems. The mathematics of I/Q
(inphase quadrature)
demodulation. Filters. The mathematics of a simple onedimensional
model of radar scattering. Derivation of the Doppler scale factor and
Doppler shift. I/Q demodulation of the signal from a moving scatterer.
Lecture 3:
Correlation reception, pulse compression, and the derivation
of the matched filter. Barker codes. The point spread function
for fixed targets. HRR imaging. Chirps. Matched filter for a moving
target.
Lecture 4:
The radar ambiguity function and its properties.
Doppler resolution. Range resolution. Examples of different waveforms and
their ambiguity functions. The intuition behind rangeDoppler imaging.
The intuition behind SAR. Motivation for development of a full 3D model.
Lecture 5:
Basic facts about the 3D wave equation. Introduction to
scattering theory. The Born approximation. A model for the scattered
field. The effect of matched filtering. The farfield expansion.
Lecture 6:
Introduction to ISAR (Inverse
Synthetic Aperture Radar). Range alignment. The mathematics
of ISAR. Issues of numerical implementation. Description of the
AFRL (Air Force Research Laboratory) backhoe data set and instructions for obtaining it. ISAR
resolution. The connection to the Radon transform. Outline of
inversion of the Radon transform. Open problems in ISAR.
Lecture 7:
Examples of antennas. Vector and scalar electromagnetic
potentials. Gauges. The mathematics of radiation from a current density.
Example: uniform current density on a line. Example: uniform current
density on a rectangle. Main features of an antenna beam. Phased arrays.
Lecture 8:
Realaperture imaging versus syntheticaperture imaging.
Array antennas and grating lobes. The farfield expansion. A comparison
of a scalar antenna model with the full vector model. Reception
by an antenna. Open problems related to antenna design.
Lecture 9:
The incident wave for SAR. The mathematical model for SAR data.
Spotlight SAR, connection with ISAR. Introduction to stripmap
SAR. Interpretation of the data model in terms of a Fourier Integral
Operator. Construction of an approximate inverse. The stationary
phase theorem. Analysis of the SAR point spread function. Shortcomings
of the continuum model. Open problems related to SAR.
Lecture 10:
SAR resolution. Wavefront sets. Examples of wavefront sets.
The pseudolocal property of the SAR point spread function. Analysis of SAR
artifacts. Understanding SAR images. Examples. Outline of the
state of the art: motion compensation, MTI (Moving Target Indicator), polarimetry, interferometry.
The mathematics of SAR interferometry. Current research and open problems.
Tuncay Aktosun
aktosun@uta.edu
Last modified: May 23, 2008
