Discrete-time band-limited extrapolation algorithms for radar imaging systems
Sullivan, Douglas Paul
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https://hdl.handle.net/2142/21877
Description
Title
Discrete-time band-limited extrapolation algorithms for radar imaging systems
Author(s)
Sullivan, Douglas Paul
Issue Date
1992
Doctoral Committee Chair(s)
Arun, K.S.
Department of Study
Electrical and Computer Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Engineering, System Science
Language
eng
Abstract
This thesis is a study of band-limited extrapolation algorithms. In the one-dimensional case, we examine the Weighted-Norm, Iterative Weighted-Norm, Control-Point, Data Segmentation, and Cascade Form algorithms. Each modifies the reconstruction subspace used in the extrapolation. The basic extrapolation algorithms are the first three which form the foundation of this thesis. The Data Segmentation algorithm improves the processing speed of the extrapolation. Finally, the Cascade Form is used in a dual extrapolation role when reconstructing the input signal of a linear system, with a band-limited transfer function.
We also describe the extension of these extrapolation algorithms to two dimensions. Specifically, we examine the application to interpolation of one-dimensional and two-dimensional data in radar imaging. Here we describe a method, using the earlier results, to accomplish polar-to-Cartesian interpolation. Instead of the simple linear or nearest neighbor interpolation, band-limited extrapolation does a better job by exploiting the band-limited nature of the signal.
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