# An Airborne Arc Array Synthetic Aperture Radar Vibration Error Compensation Method

## TL;DR

This paper introduces a method to reduce vibration errors in airborne arc array SAR systems, improving imaging quality.

## Contribution

A novel vibration phase estimation and compensation algorithm based on delayed conjugate multiplication is proposed.

## Key findings

- A vibration error model for arc array SAR platforms was established.
- The proposed algorithm effectively compensates for vibration-induced phase errors in SAR imaging.
- The method successfully eliminates pairwise echoes through phase compensation in the azimuthal direction.

## Abstract

Compared to conventional radars, arc array synthetic aperture radar (SAR) enables wide-area observation under ideal conditions. However, helicopters carrying arc array SAR platforms are generally smaller in size and more sensitive to vibration, which has a greater impact on the imaging quality. In this paper, the vibration error of the arc array SAR platform is investigated, and a vibration error model of the arc array SAR platform is established. Based on the study of the vibration error model, a vibration phase estimation and compensation algorithm based on the delayed conjugate multiplication method is proposed. In the first step, distance pulse pressure processing is performed on the echo signal. In the second step, the pulse pressure signals and their delays in the same distance unit are subjected to conjugate multiplication, and the phase of the signal after conjugate multiplication is extracted. The extracted phase is then amplitude- and phase-compensated to estimate the vibration phase. In the third step, the vibration phase is compensated in the azimuthal direction of the distance pulse pressure signal, and the pairwise echo is eliminated, which completes the compensation of the airborne arc array SAR vibration platform.