A Correlation Coefficient Estimation Algorithm Based on Subspace Decomposition

2014 ◽  
Vol 989-994 ◽  
pp. 1883-1886
Author(s):  
Na Wu ◽  
Wei Jian Si ◽  
Shu Hong Jiao
Keyword(s):  
Covariance Matrix ◽  
Correlation Coefficient ◽  
Estimation Algorithm ◽  
Signal Subspace ◽  
Subspace Decomposition ◽  
Coefficient Estimation ◽  
Eigen Value ◽  
Simulation Results ◽  
Value Decomposition ◽  
The Relationship

the correlation coefficient estimation algorithm based on subspace decomposition is presented in this paper. The correlation coefficient between the signals is obtained by getting eigen-value decomposition of the data covariance matrix, and deriving the relationship between signal subspace and noise subspace. Simulation results verify that this algorithm can be realized to get the correlation coefficient between two incident signals whose DOA are known and the effect of the correlation coefficient estimation is made by different signal direction angular intervals.

scholarly journals DOA Estimation for Coprime Linear Array Based on MI-ESPRIT and Lookup Table

Sensors ◽  
2018 ◽  
Vol 18 (9) ◽  
pp. 3043 ◽  
Author(s):  
Weike Zhang ◽  
Xi Chen ◽  
Kaibo Cui ◽  
Tao Xie ◽  
Naichang Yuan
Keyword(s):  
Linear Array ◽  
Estimation Algorithm ◽  
Doa Estimation ◽  
Spatial Spectrum ◽  
Angle Measurement ◽  
Lookup Table ◽  
Signal Parameters ◽  
Estimation Precision ◽  
Simulation Results ◽  
The Relationship

In order to improve the angle measurement performance of a coprime linear array, this paper proposes a novel direction-of-arrival (DOA) estimation algorithm for a coprime linear array based on the multiple invariance estimation of signal parameters via rotational invariance techniques (MI-ESPRIT) and a lookup table method. The proposed algorithm does not require a spatial spectrum search and uses a lookup table to solve ambiguity, which reduces the computational complexity. To fully use the subarray elements, the DOA estimation precision is higher compared with existing algorithms. Moreover, the algorithm avoids the matching error when multiple signals exist by using the relationship between the signal subspace of two subarrays. Simulation results verify the effectiveness of the proposed algorithm.

scholarly journals Barycenter Theorem in Phase Characteristics of Symmetric and Asymmetric Windows

Symmetry ◽  
2018 ◽  
Vol 10 (8) ◽  
pp. 329
Author(s):  
Jiufei Luo ◽  
Haitao Xu ◽  
Kai Zheng ◽  
Xinyi Li ◽  
Song Feng
Keyword(s):  
Frequency Estimation ◽  
Random Noise ◽  
Estimation Algorithm ◽  
Frequency Component ◽  
Phase Response ◽  
Numeric Simulation ◽  
Simulation Results ◽  
The Time Domain ◽  
Short Time ◽  
The Relationship

Asymmetric windows are of increasing interest to researchers because of the nonlinear and adjustable phase response, as well as alterable time delay. Short-time phase distortion can provide an essential improvement in speech coding, and also has better performance in speech recognition. The merits of asymmetric windows in the aspect of spectral behaviors have an important function in frequency component detection and parameter estimation. In this paper, the phase response of windows were further studied, and the phase characteristics of symmetric and asymmetric windows are described. The relationship between the barycenter of windows in the time domain, and the phase characteristic at the center of the main lobe in the frequency domain, was established. In light of the relationship, an improved version of the asymmetric window- based frequency estimation algorithm was proposed. The improved algorithm has advantages of straightforward implementation and computational efficiency. The numeric simulation results also indicate that the improved approach is more robust than the traditional method against additive random noise.

Satellite Fault Detection and Isolation through Decoupling Parity Space

2011 ◽  
Vol 110-116 ◽  
pp. 4406-4414
Author(s):  
Zheng Wang ◽  
Yan Jun Li ◽  
Xiao Wei Sun
Keyword(s):  
Singular Value Decomposition ◽  
Singular Value ◽  
Fault Detection And Isolation ◽  
Actuator Fault ◽  
Actuator Faults ◽  
Eigen Value ◽  
Parity Space ◽  
Simulation Results ◽  
Value Decomposition ◽  
Space Method

In order to detect and isolate orbiting satellite actuator faults, a decoupling parity space method was extended. The decoupling parity vector was obtained using this method by singular value decomposition. Sometimes this vector may not exist, then by singular value substitution or generalized Eigen value method was used for solving the optimal approximation. The vector can easily make satellite actuator fault detected and isolated. The simulation results showed the effectiveness of the proposed algorithm.

scholarly journals The Spatial Sign Covariance Matrix and Its Application for Robust Correlation Estimation

2017 ◽  
Vol 46 (3-4) ◽  
pp. 13-22 ◽  
Author(s):  
Alexander Dürre ◽  
Roland Fried ◽  
Daniel Vogel
Keyword(s):  
Covariance Matrix ◽  
Correlation Coefficient ◽  
Correlation Matrix ◽  
Robust Estimator ◽  
Elliptical Distribution ◽  
Correlation Estimation ◽  
Multivariate Generalization ◽  
Elliptical Model ◽  
Sign Correlation ◽  
The Relationship

We summarize properties of the spatial sign covariance matrix and especially consider the relationship between its eigenvalues and those of the shape matrix of an elliptical distribution. The explicit relationship known in the bivariate case was used to construct the spatial sign correlation coefficient, which is a non-parametric and robust estimator for the correlation coefficient within the elliptical model. We consider a multivariate generalization, which we call the multivariate spatial sign correlation matrix. A small simulation study indicates that the new estimator is very efficient under various elliptical distributions if the dimension is large. We furthermore derive its influence function under certain conditions which indicates that the multivariate spatial sign correlation becomes more sensitive to outliers as the dimension increases.

scholarly journals Enhanced 2D-DOA Estimation for Large Spacing Three-Parallel Uniform Linear Arrays

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Dong Zhang ◽  
Yongshun Zhang ◽  
Cunqian Feng
Keyword(s):  
Elevation Angle ◽  
Estimation Algorithm ◽  
Doa Estimation ◽  
Low Complexity ◽  
Estimation Accuracy ◽  
Linear Arrays ◽  
Eigen Value ◽  
Directional Cosine ◽  
2D Doa Estimation ◽  
Value Decomposition

An enhanced two-dimensional direction of arrival (2D-DOA) estimation algorithm for large spacing three-parallel uniform linear arrays (ULAs) is proposed in this paper. Firstly, we use the propagator method (PM) to get the highly accurate but ambiguous estimation of directional cosine. Then, we use the relationship between the directional cosine to eliminate the ambiguity. This algorithm not only can make use of the elements of the three-parallel ULAs but also can utilize the connection between directional cosine to improve the estimation accuracy. Besides, it has satisfied estimation performance when the elevation angle is between 70° and 90° and it can automatically pair the estimated azimuth and elevation angles. Furthermore, it has low complexity without using any eigen value decomposition (EVD) or singular value decompostion (SVD) to the covariance matrix. Simulation results demonstrate the effectiveness of our proposed algorithm.

Application of Weighted Projection PM Algorithm in Estimation of DOA

2013 ◽  
Vol 300-301 ◽  
pp. 746-749
Author(s):  
Wei Wei Hu ◽  
Chang Ming Wang ◽  
Ai Jun Zhang
Keyword(s):  
Signal Subspace ◽  
Steering Vector ◽  
Signal Noise ◽  
Noise Subspace ◽  
Propagator Method ◽  
Simulation Results ◽  
Noise Ratio ◽  
The Relationship

In order to improve the decreasing resolution ability of Propagator Method (PM) algorithm under the environments like low signal noise ratio and small number of snapshots, a new weighted projection PM algorithm is proposed in this paper. This algorithm orthogonalizes noise subspace to get a new one, gains the signal subspace with the relationship between it and noise subspace, and weights the signal subspace and noise subspace with values gained by projecting integral value of steering vector in the field around the signals to each element of subspace. Simulation results show that the proposed method can keep computation simple, and also can decrease signal noise ratio threshold and snapshots threshold, so it has the better resolution ability and higher precision in snapshot deficient and low signal noise ratio scenario.

scholarly journals Integrated Speed Planning and Friction Coefficient Estimation Algorithm for Intelligent Electric Vehicles

Algorithms ◽  
2019 ◽  
Vol 12 (2) ◽  
pp. 44
Author(s):  
Chentong Bian ◽  
Tong Zhu ◽  
Guodong Yin ◽  
Liwei Xu
Keyword(s):  
Friction Coefficient ◽  
Electric Vehicles ◽  
Estimation Algorithm ◽  
Friction Coefficients ◽  
Large Curvature ◽  
Coefficient Estimation ◽  
Road Friction ◽  
Simulation Results ◽  
Curved Road

To improve the safety of intelligent electric vehicles and avoid side slipping on curved roads with changing friction coefficients, an integrated speed planning and friction coefficient estimation algorithm is proposed. With this algorithm, the speeds of intelligent electric vehicles can be planned online using estimated road friction coefficients to avoid lane departures. When a decrease in the friction coefficient is detected on a curved road with a large curvature, the algorithm will plan a low and safe speed to avoid side slipping. When a normal friction coefficient is detected, the algorithm will plan a higher speed for normal driving. Simulations using MATLAB and CarSim have been performed to demonstrate the effectiveness of the designed algorithm. The simulation results suggest that the proposed algorithm is applicable to speed planning on curved roads with changing friction coefficients.

A DOA Estimation Algorithm in OFDM Radar-Communication System for Vehicular Application

2014 ◽  
Vol 926-930 ◽  
pp. 1853-1856 ◽  
Author(s):  
Xiao You Yu ◽  
Ming Qian Zhou
Keyword(s):  
Computational Complexity ◽  
Covariance Matrix ◽  
Communication System ◽  
Estimation Algorithm ◽  
Doa Estimation ◽  
Beam Forming ◽  
Spatial Covariance ◽  
Multiple Targets ◽  
Simulation Results ◽  
Eigen Decomposition

According to IEEE Std 802.11p, a fast DOA estimation algorithm of multiple targets based on beam-forming techniques in OFDM radar-communication system for vehicular applications is discussed in this paper. The proposed algorithm has reduced computational complexity utilizing high order power of the inverse spatial covariance matrix without eigen-decomposition. Simulation results demonstrate it is suitable for vehicular application.

IMPROVEMENT OF SPRING DURUM WHEAT SELECTION METHODOLOGIES UNDER CLIMATE CHANGE CONDITIONS

1970 ◽  
pp. 33-36
Author(s):  
А. I. Grabovets ◽  
V. P. Kadushkina ◽  
S. А. Kovalenko
Keyword(s):  
Grain Yield ◽  
Durum Wheat ◽  
Correlation Coefficient ◽  
Harvest Index ◽  
Unit Area ◽  
Correlation Coefficients ◽  
Chemical Mutagenesis ◽  
Main Method ◽  
The Relationship ◽  
Selection Of

With the growing aridity of the climate on the Don, it became necessary to improve the methodology for conducting the  breeding of spring durum wheat. The main method of obtaining the source material remains intraspecific step hybridization. Crossings were performed between genetically distant forms, differing in origin and required traits and properties. The use of chemical mutagenesis was a productive way to change the heredity of genotypes in terms of drought tolerance. When breeding for productivity, both in dry years of research and in favorable years, the most objective markers were identified — the size of the aerial mass, the mass of grain per plant, spike, and harvest index. The magnitude of the correlation coefficients between the yield per unit area and the elements of its structure is established. It was most closely associated with them in dry years, while in wet years it decreased. Power the correlation of the characteristics of the pair - the grain yield per square meter - the aboveground biomass averaged r = 0.73, and in dry years it was higher (0.91) than in favorable ones (0.61 - 0.70) , between the harvest and the harvest index - r = 0.81 (on average). In dry years, the correlation coefficient increased to 0.92. Research data confirms the greatest importance of the mass of grain from one ear and the plant in the formation of grain yield per unit area in both dry and wet years. In dry years, the correlation coefficient between yield and grain mass per plant was on average r = 0.80; in favorable years, r = 0.69. The relationship between yield and grain mass from the ear was greater — r = 0.84 and r = 0.82, respectively. Consequently, the breeding significance of the aboveground mass and the productivity of the ear, as a criterion for the selection of the crop, especially increases in the dry years. They were basic in the selection.

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