分数阶微积分在数字水印中的应用研究

提出并实现了基于分数阶微积分运算的数字水印系统模型。将分数阶微积分运算阶次v作为水印嵌入与提取的密钥，嵌入的水印能够获得好的不可感知性。在信息提取端，如果不知道确切的分数阶微积分运算阶次，将无法完成水印信息的提取，从而保证了发送者与合法接收者之间通信的有效保密性。利用Matlab进行计算机仿真实验证实了基于分数阶微积分运算的数字水印系统的有效性与可行性。

Application of Fractional Calculus in Digital Watermarking

A fractional calculus-based digital watermarking system model is proposed and realized.Using the fractional calculus operations order v as the key of watermarking embedding and extraction,and the embedded watermarking is good at invisible.About the information extraction side,if we do not know the exact fractional calculus computing order,it will be impossible to complete watermarking extraction,thus ensuring the effective and confidential communication between the sender and the legitimate receiver.Using Matlab to execute computer simulation confirmed that the fractional calculus-based digital watermarking system is effective and feasible.