With the view of the optimal approximation for the formed beams, the radiation pattern and the field distribution in the focus zone of Fresnel zone plate antenna approximation with the fields of the linear array have been studied based on the methods of weighted residue and Prony,which suit for the approximation for the real patterns of various Fresnel zone focusing configuration.

Based on the representation of interval rational Bezier curves and surfaces and by a serial of mathematical transformation, the degree reductions of them are converted to those of polynomials with upper bounds, then several algorithms are presented, with linear programming and optimal approximation methods.

In this paper, we present a kind of wavelet filter approximating method based on lattice structure.

And then based on the optimal filtering theory of structure stochastic jump system,a new algorithm for infrared system distance estimation was proposed.

But there are few papers describing modeling-building,optimal filtering algorithms for this kind of systems.

In this paper,an optimal filtering method based on the Singular Value Decomposition (SVD)technique for Multi-Channel Systems with Multiplicative Noise is proposed.

The Optimal Filter and Estimation of a Kind of the Random Signals of the Unmeasurable Components Based on Its Measurable Components in the Generalized Process;

Based on model matching approach,this paper presents an algorithm for designing optimal filter that minimizes the magnitude of the filter error,in the case of linear discrete-time system in which the process noise and measurement noise are unknown but magnitude bounded.

It is important for researchers to find which kinds of filtering equation are solvable and how to give representation of the optimal filter.