针对尺度缩放和角度旋转变化目标相关识别率低的问题，采用优化折中综合鉴别函数方法设计了具有较大畸变容限的匹配滤波器。在匹配滤波器设计时，通过调整相关输出噪声、训练样本平均功率谱密度和训练样本相似度对训练样本平均值的贡献，得到具有带通性质的匹配滤波器。利用单个匹配滤波器对角度旋转0°～30°、尺度变化0～20%的目标进行了相关识别仿真实验。结果表明：这种匹配滤波器相关输出峰尖锐、鉴别力强、畸变容限大，可用于畸变目标的光学相关识别。

A matched filter with great tolerance of distortion was designed by using the optimal tradeoff synthetic discriminant function to overcome the low discrimination rate in the correlation recognition of the rotating and rescaling targets. The matched filter with the bandpass feature was obtained by adjusting the contribution of output noise, average power spectral density of training sample image and training sample images' similarity to the average value of training sample images. The simulation experiment of the correlation recognition for the target with rotation angle of 0～30° and the variation dimension range of 0～20% with a single matched filter was carried out. The designed filter resembles a band-pass filter. Simulation results demonstrate the designed filter has sharp output peaks, good discrimination and high tolerance for distortion.