Ji Yuanfa

Recursive Image Representation Method Based on Grassmann Space

In this paper, with the analysis of Grassmann Spaceto study the method of recursive image representation, thepoints for the space matrix, with space matrix iteration torepresent the image are put forward. Digital image can berepresented by matrix, with each pixel representing a space point. A larger image includes relatively more space points,which will take up more storage space. A method ofreconstructing image by space recursion is expected to studyout. This method can use matrix to fill the grey value of imageand effectively improve both the subjective and objectivequality of the image.

The pseudorange measurement equations and their solution for satellite navigation

The common pseudorange measurement equations and their solution for satellite navigation are discussed. The errors in these pseudorange measurement equations computed with mathematical models will increase the load of computation and will usually lead to poor results due to change of conditions. In this paper the new pseudorange hyperboloidic measurement equations subject to height constraint for satellite navigation are developed and demonstrated. For these equations are all nonlinear, the methods of solving these nonlinear equations must be sought. The linearization of these nonlinear equations must be done before the iterative computation, but it is usually difficult to compute the Jacobian matrix of the nonlinear equations. The Unscented Kalman Filter (UKF) is presented for its ease of implementation and more accuracy for nonlinear equations. As a result, these nonlinear pseudorange measurement equations subject to height constraint solved with the UKF performs better than the common measurement equations computed with the iterative method. The conclusion is testified with experimental results last.