石家庄铁道大学学报(自然科学版)
石傢莊鐵道大學學報(自然科學版)
석가장철도대학학보(자연과학판)
JOURAL OF SHIJIAZHUANG TIEDAO UNIVERSITY(NATURAL SCIENCE EDITION)
2014年
2期
91-95
,共5页
粒子滤波器%卡尔曼滤波器%目标跟踪%重采样
粒子濾波器%卡爾曼濾波器%目標跟蹤%重採樣
입자려파기%잡이만려파기%목표근종%중채양
particle filter%kalman filter%target tracking%resampling
在非线性条件下,扩展Kalman 滤波( EKF)的应用最为广泛。但是,由于它采用了Taylor展开的线性变换来近似非线性模型,因而存在计算量大、实时性差、估计精度低等缺点。粒子滤波( PF)用一些带有权值的随机样本(粒子)来表示所需要的后验概率密度,并通过这些粒子的加权来估计目标运动的状态,从而得到基于物理模型的近似最优数值解,具有精度高、收敛速度快等特点。通过仿真实验将PF与EKF的性能进行了对比,并且研究了噪声协方差与粒子数对PF的影响。 PF与EKF的对比实验结果表明,在强非线性条件下,PF比EKF跟踪精度更高,误差更低。
在非線性條件下,擴展Kalman 濾波( EKF)的應用最為廣汎。但是,由于它採用瞭Taylor展開的線性變換來近似非線性模型,因而存在計算量大、實時性差、估計精度低等缺點。粒子濾波( PF)用一些帶有權值的隨機樣本(粒子)來錶示所需要的後驗概率密度,併通過這些粒子的加權來估計目標運動的狀態,從而得到基于物理模型的近似最優數值解,具有精度高、收斂速度快等特點。通過倣真實驗將PF與EKF的性能進行瞭對比,併且研究瞭譟聲協方差與粒子數對PF的影響。 PF與EKF的對比實驗結果錶明,在彊非線性條件下,PF比EKF跟蹤精度更高,誤差更低。
재비선성조건하,확전Kalman 려파( EKF)적응용최위엄범。단시,유우타채용료Taylor전개적선성변환래근사비선성모형,인이존재계산량대、실시성차、고계정도저등결점。입자려파( PF)용일사대유권치적수궤양본(입자)래표시소수요적후험개솔밀도,병통과저사입자적가권래고계목표운동적상태,종이득도기우물리모형적근사최우수치해,구유정도고、수렴속도쾌등특점。통과방진실험장PF여EKF적성능진행료대비,병차연구료조성협방차여입자수대PF적영향。 PF여EKF적대비실험결과표명,재강비선성조건하,PF비EKF근종정도경고,오차경저。
The Extended Kalman Filter ( EKF) is the most popular approach to recursive nonlinear estima-tion.Because it is a linearization technique based on a first order Taylor series expansion of the nonlinear system and measurement functions about the current estimate of the state , it often provides an insufficiently accurate rep-resentation in many cases .The particle filtering method ( PF) has become an important alternative to the EKF . It represents the desired distributions by discrete random measures , which are composed of weighted particles .It has a high accuracy and a rapid convergence .In this paper , the comparison experiment between the PF and EKF has been carried out , and a study about the influence of the particle filter by the noise covariance and the particle number are presented .The comparison experiment shows that the target tracking accuracy of PF is higher than that of EKF under the condition of strong non-linear system .