Recursive simultaneous state and parameter estimation by a robust filtering method and orthogonal polynomials

1981 ◽  
Author(s):  
A. Halme ◽  
J. Selkainaho
Keyword(s):  
Parameter Estimation ◽  
Orthogonal Polynomials ◽  
Robust Filtering ◽  
Filtering Method

A spatio-temporal noise robust filtering method for separation of 2D incident and reflected irregular waves

2021 ◽  
Vol 237 ◽  
pp. 109544
Author(s):  
Gustavo E. Coelho ◽  
Maria Graça Neves ◽  
António Pascoal ◽  
Álvaro Ribeiro ◽  
Peter Frigaard
Keyword(s):  
Irregular Waves ◽  
Robust Filtering ◽  
Filtering Method ◽  
Temporal Noise ◽  
Spatio Temporal ◽  
Noise Robust

Application of Generalized Orthogonal Polynomials to Parameter Estimation of Time-Invariant and Bilinear Systems

1987 ◽  
Vol 109 (1) ◽  
pp. 7-13 ◽  
Author(s):  
Maw-Ling Wang ◽  
Shwu-Yien Yang ◽  
Rong-Yeu Chang
Keyword(s):  
Parameter Estimation ◽  
Orthogonal Polynomial ◽  
Orthogonal Polynomials ◽  
Computational Algorithm ◽  
State Equation ◽  
Dynamic State ◽  
Generalized Orthogonal Polynomials ◽  
Generalized Orthogonal ◽  
Time Invariant ◽  
Estimation Of Time

Generalized orthogonal polynomials (GOP) which can represent all types of orthogonal polynomials and nonorthogonal Taylor series are first introduced to estimate the parameters of a dynamic state equation. The integration operation matrix (IOP) and the differentiation operation matrix (DOP) of the GOP are derived. The key idea of deriving IOP and DOP of these polynomials is that any orthogonal polynomial can be expressed by a power series and vice versa. By employing the IOP approach to the identification of time invariant systems, algorithms for computation which are effective, simple and straightforward compared to other orthogonal polynomial approximations can be obtained. The main advantage of using the differentiation operation matrix is that the parameter estimation can be carried out starting at an arbitrary time of interest. In addition, the computational algorithm is even simpler than that of the integral operation matrix. Illustrative examples for using IOP and DOP approaches are given. Very satisfactory results are obtained.

Wavelet Robust Filtering of Out-Trajectory Data

2013 ◽  
Vol 756-759 ◽  
pp. 344-348
Author(s):  
Ling Jing Meng ◽  
Hai Bo Liu
Keyword(s):  
Engineering Application ◽  
Original Data ◽  
Robust Filtering ◽  
The Novel ◽  
Trajectory Data ◽  
Process Data ◽  
Filtering Method ◽  
Noise Simulation ◽  
Simulation Calculation ◽  
Suppress Noise

Wavelet-based robust filtering of process data is proposed in order to reduce the influence of the outliers and noise in Out-trajectory data. We utilize the moving median filtering method to reject outliers in the original data and then combine wavelet de-noising method with empirical Wiener threshold to suppress noise. Simulation calculation and real engineering application has shown that the novel algorithm reliably preserves the information encapsulated in a process signal corrupted with noise and outliers. The methodology has been proved to be reliable and robust.

scholarly journals A Robust Filtering Method for X-Ray Pulsar Navigation in the Situation of Strong Noises and Large State Model Errors

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 161141-161151
Author(s):  
Lirong Shen ◽  
Haifeng Sun ◽  
Xiaoping Li ◽  
Yanming Liu ◽  
Haiyan Fang ◽  
...  
Keyword(s):  
State Model ◽  
Robust Filtering ◽  
Model Errors ◽  
X Ray ◽  
Filtering Method ◽  
Large State ◽  
Pulsar Navigation

scholarly journals AUTOMATIC TREE DATA REMOVAL METHOD FOR TOPOGRAPHY MEASUREMENT RESULT USING TERRESTRIAL LASER SCANNER

2017 ◽  
Vol XLII-2/W3 ◽  
pp. 659-664
Author(s):  
H. Yokoyama ◽  
H. Chikatsu
Keyword(s):  
Data Processing ◽  
Cultural Heritage ◽  
Laser Scanner ◽  
Digital Data ◽  
Robust Filtering ◽  
Terrestrial Laser Scanner ◽  
Filtering Method ◽  
Heritage Sites ◽  
The Past ◽  
Digital Data Processing

Recently, laser scanning has been receiving greater attention as a useful tool for real-time 3D data acquisition, and various applications such as city modelling, DTM generation and 3D modelling of cultural heritage sites have been proposed. And, former digital data processing were demanded in the past digital archive techniques for cultural heritage sites. However, robust filtering method for distinguishing on- and off-terrain points by terrestrial laser scanner still have many issues. In the past investigation, former digital data processing using air-bone laser scanner were reported. Though, efficient tree removal methods from terrain points for the cultural heritage are not considered. In this paper, authors describe a new robust filtering method for cultural heritage using terrestrial laser scanner with "the echo digital processing technology" as latest data processing techniques of terrestrial laser scanner.

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