The third-order cumulants is not zero when a component\'s phase is equal to the sum of the other two components\' phase and a fixed value by theoretieal reasoning.

For the purpose of identifying harmonic components in vibration signals with strong Gaussian colored noise,by using an estimation algorithm of time averaged three-order cumulant,a method of harmonic retrieval from the(vibration) signals is presented in the paper.

After the analysis for speech signal with of three-order cumulant spectrum,this algorithm through using subharmonic-harmonic rate method can compute harmonic parameters and high-low frequency energy ratio.

Pitch detection of speech signal based on the third-order cumulant;

A new algorithm based on third-order cumulant was proposed to detect a moving dim infrared target under heavy background.

Employing double third order cumulants of polar angles and extremes in a planar rectangular coordinate system and a polar one relevantly conversed from the former, a two dimensional characteristic aggregate (CA) of third order cumulants is constructed and, then, a characteristic mapped aggregate of frequency field is obtained by conducting fast FFT transformation upon the CA.

An order recursive algorithm for determining the order \$p\$ of non Gaussian AR models based on the third order cumulants is suggested in this paper.

Using the property of cyclic cumulants,the statistical properties of the single record estimator of 2-D third-order cyclic-moments are obtained.