基于快速局部频率估计和量化跟踪的UKF相位展开算法  

UKF Phase Unwrapping Algorithm Based on the Fast Local Frequency Estimation and the QPGM Strategy

作　　者：许华夏[1] 谢先明[1] 谢家朝 XU Huaxia XIE Xianming XIE Jiachao(School of Information and Communication, Guilin University of Electronic Technology, Guilin 541004, China)

机构地区：[1]桂林电子科技大学信息与通信学院,广西桂林541004

出　　处：《现代雷达》2017年第3期49-54,58,共7页Modern Radar

基　　金：国家自然科学基金资助项目(41201479;61261033;61461011);广西自然科学基金资助项目(2014GXNSFBA118273);广西无线宽带通信与信号处理重点实验室2014/2015年主任基金资助项目(GXKL061503);认知无线电教育部重点实验室主任基金资助项目(CRKL160107)

摘　　要：针对传统的无味卡尔曼相位展开算法效率和精度之间存在矛盾的问题,提出一种快速局部频率估计算法与量化质量图跟踪策略相结合的无味卡尔曼滤波(UKF)高效算法。快速局部频率估计算法首先利用二维傅里叶变换粗略计算出局部窗口内的复相位频谱的谱峰位置;然后,以谱峰为中心利用二维离散时间傅里叶变换快速算法计算出谱峰的精确位置,进而精确地获取局部频率值,得到UKF相位展开系统模型所需的相位梯度估计值;最后,将UKF算法与量化质量图跟踪策略相结合,利用量化质量图引导UKF相位展开,进一步提高展开的效率。仿真实验验证了方法的有效性。As for the contradiction between the efficiency and the precision of traditional unscented Kalman filtering phase unwrapping algorithm,an efficient phase unwrapping algorithm based on unscented Kalman filter（ UKF） is proposed by combining a fast local frequency estimation approach and the strategy of quantizing paths-guided map. First,the spectral peak position of plural phase is calculated by the two-dimensional Fourier transform in the local window. Then,the accurate position of the spectral peak is calculated by the two-dimensional discrete-time Fourier transform,and then accurate values of local frequency to calculate the local frequency is gotten,according to the results,the phase gradient estimates for the UKF phase unwrapping system model are calculated. In the end,the UKF algorithm is combined with the strategy of quantizing paths-guided map to guide UKF phase unwrapping,further improving the efficiency of the unwrapping. The simulation results show the effectiveness of the proposed algorithm.

关 键 词：相位展开 局部频率估计 二维离散时间傅里叶变换 量化质量图 

分 类 号：TN957.51[电子电信—信号与信息处理] TN713[电子电信—信息与通信工程]