中国激光, 2009, 36 (11): 2997, 网络出版: 2009-11-11
基于多通道体全息相关器的二维离散沃尔什变换
Two Dimensional Discrete Walsh Transform Based on Multi-Channel Volume Holographic Correlator
摘要
利用体全息相关器(VHC)可以完成多通道内积运算的特性,通过将待变换函数和二维沃尔什(Walsh)函数分别编码成输入图像和存储图像,提出了一种基于多通道体全息相关器的二维离散Walsh变换(DWT)方法。此方法可以快速、并行对输入函数做二维离散Walsh变换,并具有很大的速度提升潜力。利用散斑调制和随机交错方法可以提高运算精度。经验证,实验结果与理论值吻合。
Abstract
The volume holographic correlator (VHC) can perform multi-channel inner products calculation. By encoding the input function and two-dimensional Walsh functions into input image and stored images respectively,a method that using volume holographic correlator to perform two-dimensional discrete Walsh transform (DWT) is proposed. This method has a potential to approach a high processing speed. By use of speckle modulation and interleaving method,the calculation accuracy can be improved. An experiment is carried out,and the correspondency between experimental results and theoretical ones proves the effectiveness of the method.
马强, 曹良才, 谭峭峰, 何庆声, 金国藩. 基于多通道体全息相关器的二维离散沃尔什变换[J]. 中国激光, 2009, 36(11): 2997. Ma Qiang, Cao Liangcai, Tan Qiaofeng, He Qingsheng, Jin Guofan. Two Dimensional Discrete Walsh Transform Based on Multi-Channel Volume Holographic Correlator[J]. Chinese Journal of Lasers, 2009, 36(11): 2997.