Frequency retrieval of sinusoid signal with accurate CS-TLS approach

This paper proposes a Cross Spectral-Total Least Square (CS-TLS) method to measure the frequencies of the weak signal in colored noise, which clears the fake peaks caused by spectral estimation and overcomes efficiently. These false peaks are caused by the extended-order of the characteristic equation. Thus false peaks are hard to distinguish from the harmonic signal peaks in power spectrum curves. CS-TLS method has solved the problem by analyzing Singular Value Decomposition (SVD) features of the cross-correlation matrix. Simulation results show that CS-TLS algorithm can clear spectral false peaks out and has high resolution.