Analytical All-phase Sinusoidal Frequency Estimation Algorithm in Short Interval

To solve the problem of estimating sinusoidal frequency in case of CIR(circles in record)<1, this paper analyzed the relationship between error of frequency estimation in short interval and the interference of two side-spectrums, and therefore introduced analytic transform to inhibit this interference. Moreover, all-phase FFT was utilized to obtain the phase estimation of center sample. Furthermore, pruning technique at fundamental spectral position was also adopted which led to simplify the dataflow of phase estimation. Finally, this paper resorted to the technique of time shift phase difference correcting spectrum to achieve the frequency estimation in case of observation interval less than one period. Simulation shows that, the frequency error percentage of the proposed method can be controlled less than 2% when CiR∈［0.4,1］ in noiseless case.