We also compare the algorithm with the traditional algorithms in speed, which reduces times of iterations from about 2 000 to not more than 300, and analyse briefly criterion of selecting contrast function to realize global convergence.

Based on the mathematical model of blind source separation,the contrast functions used in blind source separation was introduced and the optimization algorithms were provided in the following two aspects: linear and non-linear mixed model.

Based on constrained independent component analysis,a fast algorithm for one-unit ICA-R is proposed when absolute value of kurtosis is considered as contrast function in this paper.

This paper shows that errors in the failure probability also come from curvatures in transformation functions from nine non-Gaussian distributions ,a.

By analyzing the Euclidean distance function and its extension, the conception of the similarity in time series describing the relationship of similarity with a uniform similarity function and transformation function was proposed.

Methods The function transformation theory,grey system modeling theory and genetic algorithm were used to calculate the parameters of transformation functions.

Starting from the basic principle of memory,we carry out the theoretical studies according to the sampling theory,summarize out the functions of function transformation of the memory,put forward the idea of using the DDS method to design the function generator.

Based on the auxiliary equation method,a method of auxiliary equation of elliptic function combined with function transformation is proposed.

Some travelling wave solutions to the Noyes-Fied equations and Burgers-KdV equation are obtained by using function transformations.

Analytical expressions for the three-dimensional transfer functions for both the reflection and transmission cases are presented and the imaging that can occur if the detector is offset is discussed.

A method for calibrating nonlinearity of platinum resistance transducers based on function transform principal is presented.

After analyzing the main cause of generating nonuniformity and traditional correction ways, a real time new method which makes use of function transform of semiconductor memory to correct nonuniformity of IRFPA was presented.

A modified double Jacobian elliptic function expansion method under a general function transform, which is more general than the Jacobian elliptic function expansion method under a travelling wave transform, is proposed to construct the exact solutions of nonlinear evolution equations.