2010•Radio and communications technologyRequires access

Research on MUSIC Algorithms without Eigenvalue Decomposition

Xintong Liu

Abstract

Because the eigenvalue decomposition of covariance matrix has a large computing amount in MUSIC algorithm,and it is difficult to be implemented in the embedded system,In this paper,common power iteration algorithm,inverse power iteration algorithm,eigenvalue shift power iteration algorithm are analyzed and compared.Considering the sound signals have very wide bandwidth,influence of array element spacing choice is analyzed.Simulation experiment according to several different array element spacing value.Simulation analysis shows that eigenvalue shift power iteration algorithm can replace the eigenvalue decomposition by selecting proper element spacing,which reduces the computing complexity.

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Key concepts: Inverse iteration, Power iteration, Eigenvalues and eigenvectors, Eigendecomposition of a matrix, Algorithm, Rayleigh quotient iteration, Divide-and-conquer eigenvalue algorithm, Inverse