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The Eigenvalue-Based Decomposition Method of Hermite Matrix and its Realization on Computer

In order to realize the MUSIC approach for multiple emitter location, eigenvalue-based decomposition of the Hermite array covariance matrix has to be done. This paper proves that the problem of a Hermite matrix decomposition can be transformed into the problem of a real symmetric matrix decomposition, and gives the detailed transformation method. Using Jacobi diagonalization method, the eigenvalue-based decomposition of a real symmetric matrix decomposition is realized on computer, so the eigenvalue-based decomposition of a Hermite matrix is realized on computer.