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讨论了通过位相调制对多灰度图像进行功率谱相减的原理，并提出了利用此原理实现多灰度多目标光学联合变换相关的新的实验方法。其中需对功率谱进行两次记录并进行相减。在第二次的记录过程中，利用位相板使参考图像产生半波位相延迟。将相减后的功率谱进行傅里叶逆变换，能够使相关峰得到明显增强，而且大大抑制了多目标间的相关及背景噪声间的相关。此方法特别适用于具有多灰度背景噪声的多灰度的多目标识别，而且方法简单，易于实现。
The principle of phase-subtraction of multi-grayscale images by phase modulation is discussed. A new experimental method for multi-grayscale multi-objective optical joint transformation is proposed. The power spectrum needs to be recorded twice and subtracted. During the second recording, the half-wave phase delay is applied to the reference image using the phase plate. The inverse Fourier transform of the subtracted power spectrum can significantly enhance the correlation peak, and greatly reduce the correlation between multiple targets and the correlation between background noise. This method is especially suitable for multi-grayscale multi-target recognition with multi-grayscale background noise, and the method is simple and easy to implement.