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双随机位相编码解码技术是应用于图像隐藏领域的一种重要方法。在已编码信息的记录及传递过程中,由于复制、修饰、图像压缩等人为或非人为因素不可避免地会引入各种偏差,这些数据偏差最终反映为重构图像的噪声。分析并数值模拟了满足均匀分布、正态分布的随机偏差及因数据取舍而引入的偏差所导致的重构图像噪声分布。研究表明,这几种类型的数据偏差在重构图像中均会导致灰度值概率分布为高斯型函数的噪声。从理论分析和数值模拟结果来看,实施双随机位相解码运算不会降低图像信噪比,因此重构图像的噪声特性是由已编码信息在记录及传递过程中的信噪比决定的。
Double random phase encoding and decoding technology is an important method used in the field of image hiding. In the process of recording and transmitting encoded information, due to human or non-human factors such as copying, modification and image compression, inevitably, various deviations will be introduced, and these data deviations finally reflect the noise of the reconstructed image. Analyzed and numerically simulated the random noise that satisfies the uniform distribution and the normal distribution and the distribution of the reconstructed image noise caused by the deviation introduced by the data selection. The research shows that these types of data deviations in the reconstructed image all lead to the probability distribution of gray value as Gaussian noise. From the theoretical analysis and numerical simulation results, the implementation of double random phase decoding operation will not reduce the image signal-to-noise ratio, so the noise characteristics of the reconstructed image are determined by the signal-to-noise ratio of the encoded information during recording and transmission.