Abstract

In recent years, Compressive Sensing (CS) theory has been very popular in the data sensing and process area as it utilizes the sparsity and measurement matrix to reconstruct the compressible signal from limited samples successfully. In this paper, CS is introduced into an efficient numerical method, multilevel fast multipole acceleration (MLFMA), for the electromagnetic (EM) scattering problem over a wide incident angle. This allows composition of a new kind of incident wave, which obtains efficient and reliable data for scattering centers extraction with low complexity. The resulting data from CS-based MLFMA are processed for ISAR) imaging. Simulation results show the received data for ISAR imaging from MLFMA with CS can outperform the data from MLFMA, which achieves a similar quality of ISAR imaging. Additionally, the computation complexity is improved by CS through the reduced matrix computation for fewer incident waves. It makes ISAR imaging using real data feasible and meaningful.

Highlights

  • In recent years, the Inverse Synthetic Aperture Radar (ISAR) technique for the imaging of moving targets has attracted more and more attention to investigate the scattering mechanism of complex targets and target identification [1]

  • The range resolution is decided by the signal bandwidth, while the cross-range resolution is decided by the wavelength and the range of observation, so that certain rotation angles of the target with respect to the radar line of sight during the coherent processing interval (CPI) are required for the high cross-range resolution [2]

  • compressive sensing (CS)-multilevel fast multipole acceleration (MLFMA) makes a new kind of incident wave which reduces the computation complexity of repeated matrix computing

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Summary

Introduction

The Inverse Synthetic Aperture Radar (ISAR) technique for the imaging of moving targets has attracted more and more attention to investigate the scattering mechanism of complex targets and target identification [1]. The traditional integral equations, such as the method of moments (MoM) [5,6] and the finite element method (FEM) [7,8], can be used to obtain the received data for ISAR imaging [4] These methods need to repeat the solution of the system matrix equation using the iteration method in every incident angle. The MLFMA for a wide-angle EM scattering problem is described, and it is proposed how the CS theory implemented in MLMFA obtains the received data, which are exploited to recover the images in ISAR imaging by FFT.

Compressive Sensing
Implementation of CS in MLFMA
CS-MLFMA
ISAR Imaging by CS-MLFMA
Numerical Examples
ISAR Imaging by Using
Conclusions

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