Title :
Fast Algorithm for Root-MUSIC with Real-Valued Egendecomposition
Author :
Congfeng, Liu ; Guisheng, Liao
Author_Institution :
Nat. Lab of Radar Signal Process., Xidian Univ., Xi´´an
Abstract :
A fast algorithm for the root-MUSIC with real-valued eigendecomposition is considered. This algorithm reduces the computational complexity in the eigenanalysis stage of root-MUSIC because it exploits the eigendecomposition of a real-valued covariance matrix. The asymptotic performance of root-MUSIC with real-valued eigendecomposition (RVED-root-MUSIC) is analyzed and compared with that of conventional root-MUSIC. The coefficients of the polynomial for root MUSIC is deduced and given the concrete calculation formula, so that the speed of polynomial finding roots gets the bigger exaltation. The results of this comparison show identical asymptotic properties of both algorithms in the case of uncorrelated sources and a better performance of RVED-root-MUSIC in scenarios with partially correlated or fully coherent sources. Additionally, our simulations and the results demonstrate an improved performance of RVED-root-MUSIC relative to conventional root-MUSIC
Keywords :
array signal processing; covariance matrices; direction-of-arrival estimation; eigenvalues and eigenfunctions; DOA estimation; RVED-root-MUSIC algorithm; array signal processing; asymptotic properties; coherent source; covariance matrix; partially correlated fully source; real valued eigendecomposition; Algorithm design and analysis; Concrete; Covariance matrix; Direction of arrival estimation; Iterative algorithms; Multiple signal classification; Narrowband; Polynomials; Sensor arrays; Signal processing algorithms; Polynomial Coefficients; Real-valued Eigendecomposition; Root-MUSIC;
Conference_Titel :
Radar, 2006. CIE '06. International Conference on
Conference_Location :
Shanghai
Print_ISBN :
0-7803-9582-4
Electronic_ISBN :
0-7803-9583-2
DOI :
10.1109/ICR.2006.343159
