A Novel Statistical Distortion Model Based on Mixed Laplacian and Uniform Distribution of Mpeg-4 FGS

The Laplacian Distribution has been widely used to characterize the distribution of DCT coefficients in a great deal of research on statistical attributes of DCT for the reason that Laplacian distribution can achieve a good balance between the simplification of the model and fidelity to the real empirical data. But in our research, we found that there is a large discrepancy between the real data and the distortion model based on Laplacian distribution. Furthermore, the higher the rate, the larger the distortion. In this paper, we proposed a new distortion model based on mixed Laplacian and Uniform distributions. Experimental results show that the MLQ distortion model can approximate the real empirical data and has a higher degree of accuracy than the conventional distortion model based on Laplacian distribution. Compared with the conventional distortion model based on Laplacian distribution, the new model can decrease the MSE distortion by 2–6 units. The MLQ distortion model can represent the relationship of rate and distortion of the Mpeg-4 FGS enhancement layer with a higher degree of accuracy.

[1]  S. Liu,et al.  Statistical analysis of the DCT coefficients and their quantization error , 1996, Conference Record of The Thirtieth Asilomar Conference on Signals, Systems and Computers.

[2]  Mario Guglielmo.  An Analysis of Error Behavior in the Implementation of 2-D Orthogonal Transformations , 1986, IEEE Trans. Commun..

[3]  Joseph W. Goodman,et al.  A mathematical analysis of the DCT coefficient distributions for images , 2000, IEEE Trans. Image Process..

[4]  Lawrence A. Rowe,et al.  DCT coefficient distributions , 1996, Electronic Imaging.

[5]  Jerry D. Gibson,et al.  Distributions of the Two-Dimensional DCT Coefficients for Images , 1983, IEEE Trans. Commun..

[6]  Gopal Lakhani,et al.  Distribution-based restoration of DCT coefficients , 2000, IEEE Trans. Circuits Syst. Video Technol..

[7]  Wenjun Zhang,et al.  A novel statistical distortion model of mpeg-4 FGS , 2005, Proceedings of the IEEE Symposium on Emerging Technologies, 2005..

[8]  Hayder Radha,et al.  Rate-distortion modeling of scalable video coders , 2004, 2004 International Conference on Image Processing, 2004. ICIP '04..

[9]  W. K. Cham,et al.  A comparison of error behaviour in the implementation of the DCT and the ICT , 1990, IEEE TENCON'90: 1990 IEEE Region 10 Conference on Computer and Communication Systems. Conference Proceedings.