空变菲涅耳联合变换相关器

Space-Variant Fresnel Joint Transform Correlator

提出了菲涅耳联合变换相关器(Fresnel Joint Transform Correlator,FnJTC)结构,给出了数学推导过程,并通过计算机模拟验证了可行性及其与传统相关器所不同的相关特性。在相关过程第一阶段中,菲涅耳联合变换相关器对输入的联合图像作菲涅耳变换,代替了传统联合变换相关器(JTC)的傅里叶变换。与传统相关器相比,菲涅耳联合变换相关器是空变系统,相关峰值依赖于输入参考图像与目标图像的相似性、两图像之间的相对位置及参考图像(或目标图像)的线性相位调制。

A Fresnel joint transform correlator （FnJTC） is presented, here the Fourier transform in the joint （Fourier） transform correlator （JTC） is replaced by the Fresnel transform . The mathematical derivations for FnJTC are given, together with the computer simulation verifications. Compared with JTC, FnJTC is a space-variant system, output of which depends on the similarity of the two joint patterns in shape, the position of the reference pattern relative to the target pattern and the phase modulation of the reference pattern or the target pattern. The relation between FnJTC and fractional JTC has been described briefly.