Analysis and application of fourth order cumulant MUSIC algorithm;

Based on time delay and the fourth order cumulant and MUSIC algorithm, a novel approach of estimating multiple spatial signal frequencies and 2 D directions of arrival with spatio temporal sub Nyquist sampling is proposed in this paper.

Using the elaborately defined fourth order cumulants,two methods of harmonic retrieval in coloured non Gaussian noise are proposed.

Research on the inter-harmonics measure using fourth-order cumulant based multiple signal classification method;

Parameter estimation of chirp signal based on fourth-order cumulant;

A DoA estimation algorithm for coherent signal based on the fourth-order cumulant;

Space-time array extension based on four-order cumulant;

A 2D harmonic model based on the quaternion was constructed,and a special four-order cumulant was defined.

For the estimation of 4-D parameters(frequency,elevation,bearing,and range) in near-field narrowband sources,a new method was presented which used eigenvalues together with the corresponding eigenvectors and four-order cumulant to estimate 4-D parameters of sources.

One kind of special two rows of linear arrays can be extended by one row of linear arrays and an independent array by using the property of aperture extension of fourth-order cumulants.

A speech signal time delay estimation method based on fourth-order cumulants in room is described in detail.

Due to fourth-order cumulants,the method can improve the estimation performance.