Application of Lagrange Method in the Design of Desampling FIR Filter of Airborne SAR Real-time Imaging System

XU Yong-jian; LOU Xiao-guang; WANG Zhen-song

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Application of Lagrange Method in the Design of Desampling FIR Filter of Airborne SAR Real-time Imaging System

更新时间：2025-07-16

- Application of Lagrange Method in the Design of Desampling FIR Filter of Airborne SAR Real-time Imaging System
- Acta Electronica Sinica Vol. 28, Issue 12, Pages: 11-14(2000)
- 作者机构：
  
  中国科学院电子学研究所,北京,100080
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN957.51
- Published：2000
- 稿件说明：
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XU Yong-jian, LOU Xiao-guang, WANG Zhen-song. Application of Lagrange Method in the Design of Desampling FIR Filter of Airborne SAR Real-time Imaging System[J]. Acta Electronica Sinica, 2000, 28(12): 11-14.
DOI：

XU Yong-jian, LOU Xiao-guang, WANG Zhen-song. Application of Lagrange Method in the Design of Desampling FIR Filter of Airborne SAR Real-time Imaging System[J]. Acta Electronica Sinica, 2000, 28(12): 11-14. DOI：

摘要

根据机载合成孔径雷达(SAR)的成像要求

本文对降采样滤波器的设计提出了使降采样后将混迭进通带的旁瓣能量与通带能量之比为最小的评价标准.在对拉格朗日乘子法做了详细的推导后给出了FIR滤波器求解的步骤.通过对利用天线方向图和不考虑天线方向图的两滤波器的比较得出结论:对于机载SAR实时成像系统的降采样滤波器考虑天线方向图的专门设计是必要的.

Abstract

According to airborne SAR imaging requirement we define the minimum ratio of alias' energy

which will overlap into passband after desampling

to passband energy as the proper criterion for the design of the desampling filter of the SAR real-time imaging system.After developing Lagrange multiplier algorithm

we provide steps to obtain the optimal desampling FIR filter.With comparing two filters

one takes account effect of the antenna radiation pattern and the other doesn't.We conclude that it is necessary to design a specific desampling filter that includes the effect of the radiation pattern of the antenna.

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