基于修正嵌入式容积卡尔曼滤波的相位展开算法

doi:10.11947/j.AGCS.2017.20160665

测绘学报 ›› 2017, Vol. 46 ›› Issue (12): 1998-2005.doi: 10.11947/j.AGCS.2017.20160665

基于修正嵌入式容积卡尔曼滤波的相位展开算法

代高兴, 谢先明

桂林电子科技大学信息与通信学院, 广西桂林 541004

收稿日期:2016-12-26 修回日期:2017-07-19 出版日期:2017-12-20 发布日期:2017-12-28
通讯作者: 谢先明 E-mail:xxmxgm@163.com
作者简介:代高兴(1991-),男,硕士,研究方向为InSAR相位解缠。E-mail:1984393901@qq.com
基金资助:
国家自然科学基金（41661092；61461011）；广西自然科学基金重点项目（2016GXNSFDA380009）；广西自然科学基金（2014GXNSFBA118273）；广西无线宽带通信与信号处理重点实验室2014/2015年主任基金（GXKL061503）；2017年桂林电子科技大学研究生科研创新项目（2017YJCX23）

A Fresh Phase Unwrapping Method Based on Modified Embedded Cubature Kalman Filter

DAI Gaoxing, XIE Xianming

School of Information and Communication, Guilin University of Electronic Technology, Guilin 541004, China

Received:2016-12-26 Revised:2017-07-19 Online:2017-12-20 Published:2017-12-28
Supported by:
The National Natural Science Foundation of China(Nos. 41661092 61461011) The State Key Program of National Natural Science of Guangxi Zhuang Autonomous Region (No. 2016GXNSFDA380009) The Natural Science Foundation of Guangxi Zhuang Autonomous Region (No. 2014GXNSFBA118273) The Guangxi Wireless Broad Band Communication and Signal Processing Key Laboratory 2014/2015 Director Fund Project (No. GXKL061503) 2017 Postgraduate Research and Innovation Project of Guilin University of Electronic Technology(No. 2017YJCX23)

摘要/Abstract

摘要： 针对干涉图展开问题，将Levenberg-Marquardt方法修正后的嵌入式容积卡尔曼滤波器应用于缠绕相位图像的展开中，结合基于修正矩阵束模型的局部相位梯度估计算法以及量化跟踪策略，提出一种基于修正嵌入式容积卡尔曼滤波的相位展开算法。该算法不仅可以精确和快速地展开缠绕像元，还可以在展开缠绕像元的同时抑制相位噪声，降低前置预滤波器的难度与复杂度，甚至可以在处理受噪声污染不严重的干涉图时免去前置预滤波处理步骤。试验结果表明本文算法具有较高的效率和良好的稳键性。

关键词: 相位展开, 嵌入式容积卡尔曼滤波器, Levenberg-Marquardt方法, 量化跟踪策略

Abstract: A phase unwrapping algorithm is proposed that based on modified embedded cubature Kalman filter for interferometric fringes.The algorithm is the result through combining an embedded cubature Kalman filter modified by a Levenberg-Marquardt method,a robust phase gradient estimator based on amended matrix pencil model,and a quantization path-following strategy.This method can accurately estimate unambiguous unwrapped phase of interferometric fringes by applying the modified embedded cubature Kalman filter to perform phase unwrapping and noise suppress simultaneously along the path routed by the quantization path-following strategy,which is beneficial to simplify the complexity and the difficulty of pre-filtering procedure followed by phase unwrapping procedure,and even can remove the pre-filtering procedure.Results obtained with synthetic data and real data show more acceptable solutions with the proposed method,compared with some of the most used algorithms.

Key words: phase unwrapping, modified embedded cubature Kalman filter, Levenberg-Marquardt method, quantization path-following strategy

中图分类号:

P236

代高兴, 谢先明. 基于修正嵌入式容积卡尔曼滤波的相位展开算法[J]. 测绘学报, 2017, 46(12): 1998-2005.

DAI Gaoxing, XIE Xianming. A Fresh Phase Unwrapping Method Based on Modified Embedded Cubature Kalman Filter[J]. Acta Geodaetica et Cartographica Sinica, 2017, 46(12): 1998-2005.

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基于修正嵌入式容积卡尔曼滤波的相位展开算法

A Fresh Phase Unwrapping Method Based on Modified Embedded Cubature Kalman Filter

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[1]	谢先明. 结合滤波算法的不敏卡尔曼滤波器相位解缠方法[J]. 测绘学报, 2014, 43(7): 739-745.
[2]	谢先明,皮亦鸣. 一种基于多基线组合频率估计的相位展开方法[J]. 测绘学报, 2012, 41(1): 93-0.