Abstract

In this work, we focus on sparse representation of two-dimensional (2-D) radar signatures for man-made targets. Based on the damped exponential (DE) model, a 2-D augmented state–space approach (ASSA) is proposed to estimate the parameters of scattering centers on complex man-made targets, i.e., the complex amplitudes and the poles in down-range and aspect dimensions. An augmented state–space approach is developed for pole estimation of down-range dimension. Multiple-range search strategy, which applies one-dimensional (1-D) state–space approach (SSA) to the 1-D data for each down-range cell, is used to alleviate the pole-pairing problem occurring in previous algorithms. Effectiveness of the proposed approach is verified by the numerical and measured inverse synthetic aperture radar (ISAR) data.

Highlights

  • Sparse representation of two-dimensional (2-D) radar signatures has been widely used in many applications, such as super-resolution radar imaging, data compression, and target identification [1,2,3,4].2-D radar signatures can be reconstructed with fewer data, where a set of parameters including the locations, amplitudes, and damping factors are used to represent the returned signals from spatial distributed scattering centers

  • Three examples are presented to demonstrate the usefulness of the proposed procedure, i.e., the numerical signatures with 14 point scattering centers, the numerical signatures of a sphere tipped cone-cylinder-frustum combination model, the measured inverse synthetic aperture radar (ISAR) data for an aircraft model

  • The results obtained by 2-D ESPRIT are used for comparison since it is one of the very few techniques which have been used in real radar applications [17,32]

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Summary

Introduction

Sparse representation of two-dimensional (2-D) radar signatures has been widely used in many applications, such as super-resolution radar imaging, data compression, and target identification [1,2,3,4]. The scattering centers are characterized via pairing the complex amplitudes and the poles in down-range and aspect dimensions While these subspace-based algorithms are demonstrated to be useful for the signatures of targets or simulated scattering centers, there are still some technique challenges, especially for sparse representation of the wideband radar signatures collected on complex man-made targets. Appendices are given to show more mathematical details of the proposed approach

Data Model
Two-Dimensional Augmented State–Space Approach
Pole Estimation of the Down-Range Dimension
Pole Estimation of the Aspect Dimension
Results and Discussion
Numerical Signatures with Point Scattering Centers
Measured ISAR Signatures
Conclusions
Methods
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