Transparent and Robust Audio Watermarking Using Synergy LU Decomposition and the Fibonacci Sequence in GBT-DCT-DWT Transforms

Digital watermarking technology is presented as one of the best solutions for solving unauthorized copying, content identification and authentication of digital media. Digital watermarking can be applied in the fields of image, text, audio, and video contents. Audio watermarking has recently attracted the attention of researchers because the human auditory system is much more sensitive than his vision system. Therefore, insertion of the data into audio signals in a transparent way is much more difficult than other watermarking species. An efficient audio watermarking system should be able to improve reconciliation of the three measures of transparency, strength and capacitance. Improving the compromise between these three measures is a challenging problem, due to the fact that increasing the capacity of the input signal, causes distortions in the signal which in turn causes a reduction in transparency and robustness. In this paper, a new method is proposed for watermarking of audio signals that is able to improve the three criteria of transparency, robustness and capacity in an appropriate manner. In order to improve the resilience of the hidden  signal against signal processing attacks, the synergy of three efficient transforms in the field of signal processing namely, the graph-centric conversion (GBT), the discrete cosine transform (DCT) and the discrete wavelet transform (DWT), has been used. In addition, in order to maintain the transparency of the watermarked signal, the watermarked data in the high triangle matrix resulting from the LU decomposition of the approximation coefficients of the discrete wavelet are entered in an order which is based on the Fibonacci sequence. The procedure is based on the value of the watermarked bit, the non-zero values ​​of the upper triangular matrix are replaced by the nearest even or odd numbers in the Fibonacci sequence. The latent extraction operation is completely blind. The results of the evaluation of the   proposed method on audio files with Blue, Electronic, Classic and Jazz styles show that the proposed method, despite good resistance to various signal processing attacks, has an average signal rate of 45.13 dB and a placement rate of 625.75 bits per second.