A frequency estimation algorithm based on spectrum correlation of multi-section sinusoids with the known frequency-ratio

Based on spectrum correlation of Multi-section Sinusoids with the Known Frequency-Ratio (hereinafter referred as MSKFR), a frequency estimation algorithm was proposed. This algorithm aims at improving frequency estimation of the short sinusoid at low Signal-to-Noise Ratio(SNR), and extending the applicable range of the multi-section signals fusion method. Firstly, an easy way to get MSKFR in application is introduced. Secondly, the frequency-ratio amend matrix is created to make spectra of MSKFR almost as the same as spectra of Multi-section Co-frequency Sinusoids (hereinafter referred as MCS). Thirdly, through weighted-accumulating spectra of MSKFR by the weighted factor, Optimization Weighted-Accumulation(OW-A) spectrum is gained. Fourthly, the correlation spectrum is constructed by correlation OW-A spectrum and the accumulation spectrum of MSKFR. Lastly, precise frequency estimation is obtained through spectral peak searching of the correlation spectrum. Simulation results demonstrate the superior performance of the proposed algorithm.