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n维空间随机矩阵变换的音频置乱算法
引用本文:李环,覃征,张选平,邵利平.n维空间随机矩阵变换的音频置乱算法[J].西安交通大学学报,2010,44(4).
作者姓名:李环  覃征  张选平  邵利平
作者单位:1. 西安交通大学电子与信息工程学院,710049,西安;东莞理工学院计算机学院,523808,广东东莞
2. 清华大学计算机科学与技术系,100083,北京
3. 西安交通大学电子与信息工程学院,710049,西安
基金项目:国家自然科学基金,国防"十一五"预研项目 
摘    要:针对一维线性序列置乱方法加密参数少、特殊矩阵变换易受攻击等问题,提出一种n维空间随机矩阵变换的音频置乱算法.引入m进制转换的思想,将音频序列采样点值进行变维操作,再通过随机变换阵进行矩阵变换完成置乱.算法的音频置乱恢复无需计算最小可恢复周期,仅通过随机变换阵在Zm上的逆阵进行一性次恢复即可.实验结果表明,算法在任意n维空间均具有很好的置乱效果,置乱和恢复代价较低,鲁棒性较强,能抵抗添加高斯白噪声、滤波、任意剪切、缩放音频值等攻击.

关 键 词:音频置乱  随机矩阵变换  m进制  n维空间

An n-Dimensional Space Audio Scrambling Algorithm Based on Random Matrix
LI Huan,QIN Zheng,ZHANG Xuanping,SHAO Liping.An n-Dimensional Space Audio Scrambling Algorithm Based on Random Matrix[J].Journal of Xi'an Jiaotong University,2010,44(4).
Authors:LI Huan    QIN Zheng  ZHANG Xuanping  SHAO Liping
Institution:LI Huan1,2,QIN Zheng3,ZHANG Xuanping1,SHAO Liping1(1.School of Electronics , Information Engineering,Xi\'an Jiaotong University,Xi\'an 710049,China,2. Department of Computer Science,Dongguan University of Technology,Dongguan,Guangdong 523808,3. Department of Computer Science , Technology,Tsinghua University,Beijing 100083,China)
Abstract:It is known that the conventional audio scrambling methods based on one-dimensional linear mapping have less encrypting parameters and are easy to be attacked. A new n-dimensional space audio scrambling algorithm based on random matrix is proposed to address these problems. The idea of m-ary is introduced and the audio value of each position coordinate is transformed into different dimensional space. The scrambling is completed by the high dimensional random matrix. The proposed algorithm doesn't need to co...
Keywords:audio scrambling  arbitrary matrix  m-axy  n-dimensional space
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