Nonlinear filtering of non-Gaussian noise

被引:45
作者
Plataniotis, KN
Androutsos, D
Venetsanopoulos, AN
机构
[1] Dept. of Elec. and Comp. Engineering, University of Toronto, Toronto
关键词
adaptive algorithms; Gaussian mixtures; Kalman filter; narrowband interference; non-Gaussian filtering;
D O I
10.1023/A:1007974400149
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper introduces a new nonlinear filter for a discrete time, linear system which is observed in additive non-Gaussian measurement noise. The new filter is recursive, computationally efficient and has significantly improved performance over other linear and nonlinear schemes. The problem of narrowband interference suppression in additive noise is considered as an important example of non-Gaussian noise filtering. It is shown that the new filter outperforms currently used approaches and at the same time offers simplicity in the design.
引用
收藏
页码:207 / 231
页数:25
相关论文
共 50 条
[41]   Estimation of chirp signals in Gaussian noise by kalman filtering [J].
Gal, Janos ;
Campeanu, Andrei ;
Nafornita, Ioan .
ISSCS 2007: INTERNATIONAL SYMPOSIUM ON SIGNALS, CIRCUITS AND SYSTEMS, VOLS 1 AND 2, 2007, :299-+
[42]   High-order Unscented Transformation Based on the Bayesian Learning for Nonlinear Systems with Non-Gaussian noises [J].
Hou, Jiaxin ;
Zhou, Weidong ;
Zhang, Wen-An ;
Zhang, Cong ;
Chen, Chen ;
Shan, Chenghao .
2019 15TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS 2019), 2019, :26-30
[43]   A new extension of Kalman filter to non-Gaussian priors [J].
Subrahmanyam, G. R. K. S. ;
Rajagopalan, A. N. ;
Aravind, R. .
COMPUTER VISION, GRAPHICS AND IMAGE PROCESSING, PROCEEDINGS, 2006, 4338 :162-+
[44]   The polynomial approach to the LQ non-Gaussian regulator problem [J].
Germani, A ;
Mavelli, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (08) :1385-1391
[45]   Strong tracking Kalman filter for non-Gaussian observation [J].
Lü D.-H. ;
Wang J.-Q. ;
Xiong K. ;
Hou B.-W. ;
He Z.-M. .
Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2019, 36 (12) :1997-2004
[46]   Maximum Correntropy Kalman Filter for Linear Discrete-Time Systems With Intermittent Observations and Non-Gaussian Noise [J].
Song, Xinmin ;
Zhang, Min ;
Zheng, Wei Xing ;
Liu, Zheng .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2024, 71 (06) :3246-3250
[47]   Gaussian Mixture Nonlinear Filtering With Resampling for Mixand Narrowing [J].
Psiaki, Mark L. .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2016, 64 (21) :5499-5512
[48]   Random Weighting-Based Nonlinear Gaussian Filtering [J].
Gao, Zhaohui ;
Gu, Chengfan ;
Yang, Jiahui ;
Gao, Shesheng ;
Zhong, Yongmin .
IEEE ACCESS, 2020, 8 :19590-19605
[49]   Progressive Gaussian filtering for nonlinear uncertain systems based on Gaussian process models [J].
Wang, Qichao ;
Zhuge, Xiaolei ;
Yang, Xusheng ;
Zhang, Wen-An .
SIGNAL PROCESSING, 2025, 230
[50]   Bayesian analysis of nonlinear and non-Gaussian state space models via multiple-try sampling methods [J].
Mike K. P. So .
Statistics and Computing, 2006, 16 :125-141