论文部分内容阅读
把一根线绕到圆柱体上就形成了一条螺旋线。利用螺旋坐标系统可以把笛卡尔坐标空间中的多维滤波和递归滤波转化到一维空间中来处理。相应地多维递归滤波的稳定性问题就可以在一维空间中进行刻画。本文证明了二维滤波和一维螺旋滤波的等价性，并且给出一维螺旋滤波和递归滤波的算法，实际的算例说明了算法的可靠性和有效性
Winding a wire around a cylinder creates a spiral. The use of spiral coordinate system can Cartesian coordinate space multi-dimensional filtering and recursive filtering into one-dimensional space to deal with. Correspondingly, the stability problem of multi-dimensional recursive filtering can be described in one-dimensional space. This paper proves the equivalence of two-dimensional filter and one-dimensional spiral filter, and gives the algorithm of one-dimensional spiral filter and recursive filter. The actual example shows the reliability and validity of the algorithm