n维空间随机矩阵变换的音频置乱算法

李环 1; 2; 覃征 3; 张选平 1; 邵利平 1

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n维空间随机矩阵变换的音频置乱算法

更新时间：2025-07-09

- n维空间随机矩阵变换的音频置乱算法
- An n-Dimensional Space Audio Scrambling Algorithm Based on Random Matrix
- 西安交通大学学报 2010年44卷第4期页码：13-17+33
- 作者机构：
  
  1. 西安交通大学电子与信息工程学院,西安,710049
  2. 东莞理工学院计算机学院,广东,东莞,523808
- 作者简介：
- 基金信息：
  
  : 2009-07-10. 作者简介: 李环(1977-),女,副教授,在职博士生. 基金项目: 国家自然科学基金资助项目(60673024);国防“十一五”预研项目(282660008, 570851613)
- DOI：
  中图分类号： TP391
- 网络首发：2010-04-10，
  
  纸质出版：2010
- 稿件说明：
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李环 1, 2, 覃征 3, 等. 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):13-17+33.

An n-Dimensional Space Audio Scrambling Algorithm Based on Random Matrix[J]. 2010, 44(4): 13-17+33.
李环 1, 2, 覃征 3, 等. 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):13-17+33. DOI：

An n-Dimensional Space Audio Scrambling Algorithm Based on Random Matrix[J]. 2010, 44(4): 13-17+33. DOI：

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Z

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.

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 compute the least recovering period

and only uses the inverse of the random matrix in Z

to recover the scrambled audio in real time. Experimental results show that the proposed algorithm has a wonderful one time scrambling performance in arbitrary n-dimensional space with low scrambling cost and recovering costs. The algorithm is robust in enduring common attacks

such as Gaussian noise addition

data loss

data amplification and data reduction.

关键词

Keywords

references

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李南,商艳红,邹建成. 基于Fibonacci变换的音频置乱算法 [J]. 北方工业大学学报, 2004, 16(3): 8-11.

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