电子学报 ›› 2013, Vol. 41 ›› Issue (6): 1193-1197.DOI: 10.3969/j.issn.0372-2112.2013.06.023

• 科研通信 • 上一篇    下一篇

DCT和DWT域音频水印幅值变化规律分析

张金全1,2, 王宏霞1   

  1. 1. 西南交通大学信息科学与技术学院, 四川 成都 610031;
    2. 成都信息工程学院网络工程学院, 四川 成都 610225
  • 收稿日期:2011-08-23 修回日期:2012-10-31 出版日期:2013-06-25 发布日期:2013-06-25
  • 作者简介:张金全 男,1974年出生于四川邻水,现为西南交通大学信息科学与技术学院博士研究生,主要研究方向为音频数字水印. E-mail:zhjq@cuit.edu.cn 王宏霞 女,1973年出生于河北省赵县,现为西南交通大学信息科学与技术学院教授、博士生导师,主要研究方向为多媒体信息安全技术. E-mail:hxwang@home.swjtu.edu.cn
  • 基金资助:

    国家自然科学基金(No.61170226,No.60970122);中央高校基本科研业务费专项资金(No.SWJTU11CX047,No.SWJTU12ZT02);四川省青年科技创新研究团队项目(No.2011JTD0007)

Analysis on Law of Distortion of Audio Signal for Embedding Watermark in DCT and DWT

ZHANG Jin-quan1,2, WANG Hong-xia1   

  1. 1. School of Information Science and Technology, Southwest Jiaotong University, Chengdu, Sichuan 610031, China;
    2. School of Network Engineering, Chengdu University of Information Technology, Chengdu, Sichuan 610225, China
  • Received:2011-08-23 Revised:2012-10-31 Online:2013-06-25 Published:2013-06-25

摘要: 嵌入水印对音频信号波形的影响受到的关注不多.分析得出改变采样序列离散余弦变换(Discrete Cosine Transform,DCT)域某个交流系数时,逆DCT后幅值变化服从余弦曲线,改变离散小波变换(Discrete Wavelet Transform,DWT)域某个近似系数时,重构后采样序列幅值变化呈现为所选小波的尺度函数.并对在DWT-DCT混合域嵌入水印做了讨论.通过推导和实验,得到采样点的改变量与DCT域低频系数的改变量、DWT域近似系数的改变量及混合域低频系数的改变量成线性关系.所得结论有助于发现嵌入算法带给采样点序列的不连续变化而使含水印音频产生可听噪声,也有助于提高水印的嵌入效率.

关键词: 音频水印, 离散余弦变换, 离散小波变换, 混合域, 可听噪声

Abstract: The distortion of audio signal associated with watermarking has received little attention.We have obtained some distortion laws in this paper.When a certain alternative coefficient is modified in DCT(Discrete Cosine Transform) domain,the law of audio amplitude distortion meets the cosine curve after inverse DCT.For the DWT(Discrete Wavelet Transform) domain audio watermarking,the distortion of audio signal shows the shape of scaling function after inverse DWT if a certain approximation coefficient in DWT domain is justified.Furthermore,analysis on embedding watermark in DWT-DCT domain is performed.By derivations and experiments,we draw the conclusions that the relationships between the variation of sample value and that of the low frequency coefficients in DCT,that of the approximation coefficient in DWT,and that of the low frequency coefficient in hybrid domain,are linear respectively.Our conclusions are helpful to find the discontinuities due to embedding watermark,which may cause audible noise,and improve the efficiency of embedding watermark.

Key words: audio watermarking, DCT, DWT, hybrid domain, audible noise

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