Performance Estimation for Cyclic Spectrum by Frequency-Smoothing Symmetrical Periodogram Based on Limited Data Length
Zhu Liang-xue · Shuju caiji yu chuli · 2004
The application of the cyclic spectrum to short-time signal processing is discussed. The variances expression of the estimation for the cyclic spectrum is deduced by the symmertical periodogram and the frequency-smoothing symmetrical periodogram. The estimation performance is analyzed for the cyclic spectrum by the frequency-smoothing symmetrical periodogram from the resolution and the variance in the case of limited data length. It is deduced that there exists the best smoothing point and the frequency-smoothing estimation for the clylic seectrum is asymptotically consitent. Finally,computer simulation is in agreement with the analytial results.