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.

By Hinich s test,the nongaussian and nonlinear components of ship radiated noise was detected, and the objective evidences were given for using higher order cumulants to extract noise features.

Blind separation of sources based on higher order cumulants is applied to the separation between vibration signal and noise,which is important to diagnosi.

The identification of such a system is discussed when applying higher order cumulants.

Estimation of time delay by using weighted high-order cumulant on correlated noise;

Research on DOA Estimation Based on High-Order Cumulant;

Seismic wavelet estimation using high-order cumulant matching method and hybrid ant colony algorithm.

Lung sound feature extraction based on parametric bispectrum analysis of higher-order cumulants;

The ARMA model parameters of lung-thorax system from lung sound were estimated by the higher-order cumulants.

To investigate the modulation recognition of Phase Shift Keying (PSK) signals widely used in satellite Communication, such as pi/4-QPSK and 8-PSK , an algorithm for modulation recognition based on higher-order cumulants of signal difference is proposed.