This paper analyzes the relationship between the scaling factor of the quantization step size and the distortion, robustness and detection bit error rate in the distortion compensation watermarking scheme based on quantization index modulation. Under the assumption of high-resolution quantization, the bit error rate calculation formula of the distortion compensation quantization index modulation watermarking algorithm in the additive white Gaussian noise channel is derived, and a distortion-robustness function is proposed to measure the noise robustness of the algorithm and the cost relationship between distortion and robustness. Through computer simulation, the distortion-robustness performance and bit error rate performance of the algorithm under different distortion compensation quantization index modulation watermarking schemes are compared; and the watermark information is embedded in the three-level wavelet detail coefficients of a section of audio data as the carrier, and the bit error rate during detection is statistically calculated. The experimental results verify that within the range of low quantization step sizes, the theoretically predicted bit error rate is consistent with the experimentally detected bit error rate, and the distortion-robustness function can well measure the noise robustness of the algorithm under the premise of high-resolution quantization and the cost relationship between distortion and robustness.
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