基于联合变换相关器的Dempster-Shafer理论计算

提出了用联合变换相关器(JTC)来实现证据理论概率分配函数正交和的光学计算,在理论上对于如何用联合变像相关器实现证据理论分配函数正交和作了详细的讨论,并作了相应的仿真测试,结果显示该方法是可行的。与John Caulfield提出的用声光器件矢量外积实现的正交和计算相比,在该结构中由于采用二进制编码的数值计算,因此其计算精度得到了提高,同时对联合变换相关器输入端二进制编码的数值空间位置的适当调整可以直接得到所需要的证据理论正交和矢量,在处理步骤上得到了简化。

Optical Computing for Dempster-Shafer Theory Based on Joint-Transform Correlator

Binary joint-transform correlator (JTC) is used to implement optical parallel Dempster's rule of combination computation. The corresponding theory and method about how to implement the orthogonal sum of the basic belief assignment has been discussed. The corresponding theory has been discussed, and computer-simulation results are presented, which prove this method is practical. Compared with the method John Caulfield proposed implementing an outer product by two crossed 1-D acoustooptic cells, this one benefits from the advantages of high accuracy because of the digital representation of the multiplied numbers and of the simplification in the optical process of Dempster's rule of combination computation because of the direct result of the orthogonal sum of basic belief assignment by the appropriate arrangement of the binary spaial code in the input plane of the joint transform correlator.