分数双重非线性相关器特性研究

Properties of the Fractional Dual Nonlinear Correlator

将分数傅里叶变换引入到双重非线性相关方法中,通过对参考图像和目标图像分数傅里叶变换谱的双重非线性操作实现非线性分数相关。该方法利用非线性参数以及分数阶控制目标的形状和纹理的权重,从而实现目标相关识别的调控。该非线性分数相关系统由一个光电混合装置实现,数值仿真表明,这种光学图像识别系统的优点在于对目标的形状失真和纹理改变的分辨能力是可调节的,并且可改善相关峰的性能,具有很强的抗噪声能力。

The fractional Foruier transform（FrFT） is introduced into the dual nonlinear optical correlation.The dual nonlinear fractional correlation can be realized by the nonlinear operations on the FrFT of the reference images and the target ones.The proposed scheme gives different weights to different shapes and textures by nonlinear parameters and fractional orders.Therefore the properties of target recognition can be controlled.The dual nonlinear fractional correlator can be implemented by an opto-electronical setup.The simulation results show that the most remarkable characteristic of this system is that it has the variable and adjustable discrimination capability to shape changes and texture distortions of the objects.In addition it can improve the performances of the correlation output peak and it has better rubustness to noise.