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arXiv 1104.0087cs.CRmath.OC
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基于小波系数最优尺度的Quantization音频水印

Quantization Audio Watermarking with Optimal Scaling on Wavelet Coefficients

S. -T. Chen, H. -N. Huang, S. -Y. Tu

摘要:

近年来,离散小波变换(DWT)为数字信息隐藏和版权保护提供了一个有用的平台。许多基于小波变换的算法被提出。这些算法的性能是根据信噪比(SNR)和误码率(BER)来衡量嵌入音频的质量和鲁棒性。然而,在嵌入音频质量和鲁棒性之间存在折衷关系。该折衷关系是小波域中的信号处理问题。为了解决这个问题,本研究提出了一种基于优化的缩放方案,在小波域使用最佳的多系数量化。首先,将多系数量化技术改写为对小波变换系数进行任意缩放的方程,并以信噪比为性能指标。然后,一个功能连接方程和性能指标的推导。其次,利用拉格朗日原理求出最优解。第三,对小波变换系数的缩放因子进行了优化。此外,这些优化的比例因子的不变特性被用来抵抗幅度缩放。实验结果表明,嵌入后的音频具有较高的信噪比,对多种攻击具有较强的鲁棒性

英文摘要:

In recent years, discrete wavelet transform (DWT) provides an useful platform for digital information hiding and copyright protection. Many DWT-based algorithms for this aim are proposed. The performance of these algorithms is in term of signal-to-noise ratio (SNR) and bit-error-rate (BER) which are used to measure the quality and the robustness of an embedded audio. However, there is a tradeoff relationship between the embedded-audio quality and robustness. The tradeoff relationship is a signal processing problem in the wavelet domain. To solve this problem, this study presents an optimization-based scaling scheme using optimal multi-coefficients quantization in the wavelet domain. Firstly, the multi-coefficients quantization technique is rewritten as an equation with arbitrary scaling on DWT coefficients and set SNR to be a performance index. Then, a functional connecting the equation and the performance index is derived. Secondly, Lagrange Principle is used to obtain the optimal solution. Thirdly, the scaling factors of the DWT coefficients are also optimized. Moreover, the invariant feature of these optimized scaling factors is used to resist the amplitude scaling. Experimental results show that the embedded audio has high SNR and strong robustness against many attacks

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