Title :
Beamforming algorithm of diagonal loading based on matrix decomposition
Author :
Zeng, Zhaohua ; Liang, Wenjuan ; Zhang, Jianhong
Author_Institution :
Commun. & Inf. Eng. Coll., Xi´´an Univ. of Sci. & Technol., Xi´´an, China
Abstract :
In the beamforming algorithm of the matrix decomposition, through QR decomposition of data matrix, the QR decomposition algorithm transforms the problem of solving the weighted vector into the problem of solving a triangular linear equations, which avoids to estimating and inversing of array signal covariance matrix, improves the robustness of the data; But when the smaller sample number, the noise eigenvalue dispersion of the sample covariance matrix leads to the degradation of the beamforming algorithm performance and QR algorithm performance will be decreased. According to this shortcoming, the SVD algorithm of the diagonal loading is proposed in this paper, the simulation results showed that DL-SVD algorithm not only improve the performance of the algorithm but also reduce complexity.
Keywords :
array signal processing; covariance matrices; eigenvalues and eigenfunctions; singular value decomposition; vectors; DL-SVD algorithm; array signal covariance matrix estimation; array signal covariance matrix inversion; beamforming algorithm; data matrix QR decomposition algorithm; diagonal loading; noise eigenvalue dispersion; triangular linear equation; weighted vector; Array signal processing; Covariance matrix; Loading; Matrix decomposition; Noise; Signal processing algorithms; Vectors; Beamforming; QR decomposition algorithm; SVD decomposition algorithm of the Diagonal Loading(DL-SVD);
Conference_Titel :
Broadband Network and Multimedia Technology (IC-BNMT), 2011 4th IEEE International Conference on
Conference_Location :
Shenzhen
Print_ISBN :
978-1-61284-158-8
DOI :
10.1109/ICBNMT.2011.6155991