Abstract In this paper; we propose two new substitution schemes for digital audio watermarking based on the Fourier transform. The integration of the watermark will be performed by combining the parity of the successive coefficients values; each variant will represent a different combination. In our experiments several variants of the Fourier transform are used (Discrete Fourier Transform, a Fractional Fourier Transform as well as a Quaternion Discrete Fourier Transform). For each transform, both variants of our watermarking scheme are applied and the results obtained show that our approach offers good imperceptibility and generates watermarked audio sample robust against various attacks with a high-quality watermark. However, using small audio file for our experiments considerably reduces the capacity of our approach in the frequency domain.

中文翻译：

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一种基于傅里叶变换的音频水印算法

摘要 在本文中；我们提出了两种新的基于傅立叶变换的数字音频水印替代方案。水印的整合将通过组合连续系数值的奇偶性来执行；每个变体将代表不同的组合。在我们的实验中，使用了傅里叶变换的几种变体（离散傅里叶变换、分数傅里叶变换以及四元数离散傅里叶变换）。对于每个变换，我们的水印方案的两种变体都被应用，获得的结果表明我们的方法提供了良好的不可感知性，并生成了对具有高质量水印的各种攻击鲁棒的水印音频样本。然而，在我们的实验中使用小的音频文件会大大降低我们的方法在频域中的容量。