New approach to sinusoidal frequency estimation

It is verified that the eigen-vector corresponding to the maximum eigenvalue of the correlation matrix is arranged as an unsymmetrical matrix by definite rule (named eigen-matrix) and there are also signal-subspace and orthogonal subspace in the sigular value decomposition of the eigen-matrix. The orthogonal vector spectral estimation method based on the orthogonal subspace of eigen-matrix, deriving from signal subspace of correlation matrix, possesses high statistical stability, and it is an orthogonal method as well, so it is of high resolution. The eigen-matrix arranged by first eigen-vector processes lower dimensionality, so no pseudo peak appears. The new method is abbreviated as OVSS (Orthogonal Vector spectral estimation method based on correlation matrix Signal-Subspace). Lots of Monto-Carlo simulations have verified that the new spectral estimation method-OVSS is of high resolution, high statistical stability and less increments of calculation burden.