- Research Article
- Open access
- Published:
H.264/AVC Video Compressed Traces: Multifractal and Fractal Analysis
EURASIP Journal on Advances in Signal Processing volume 2006, Article number: 075217 (2006)
Abstract
Publicly available long video traces encoded according to H.264/AVC were analyzed from the fractal and multifractal points of view. It was shown that such video traces, as compressed videos (H.261, H.263, and MPEG-4 Version 2) exhibit inherent long-range dependency, that is, fractal, property. Moreover they have high bit rate variability, particularly at higher compression ratios. Such signals may be better characterized by multifractal (MF) analysis, since this approach describes both local and global features of the process. From multifractal spectra of the frame size video traces it was shown that higher compression ratio produces broader and less regular MF spectra, indicating to higher MF nature and the existence of additive components in video traces. Considering individual frames (I, P, and B) and their MF spectra one can approve additive nature of compressed video and the particular influence of these frames to a whole MF spectrum. Since compressed video occupies a main part of transmission bandwidth, results obtained from MF analysis of compressed video may contribute to more accurate modeling of modern teletraffic. Moreover, by appropriate choice of the method for estimating MF quantities, an inverse MF analysis is possible, that means, from a once derived MF spectrum of observed signal it is possible to recognize and extract parts of the signal which are characterized by particular values of multifractal parameters. Intensive simulations and results obtained confirm the applicability and efficiency of MF analysis of compressed video.
References
Rao K, Bojkovic Z, Milovanovic D: Multimedia Communication Systems: Techniques, Standards, and Networks. Prentice-Hall, Englewood Cliffs, NJ, USA; 2002.
Wang Y, Osterman J, Zhang YQ: Video Processing and Communications. Prentice-Hall, Englewood Cliffs, NJ, USA; 2002.
Schäfer R, Wiegand T, Schwarz H: The emerging H.264/AVC standard. EBU Technical Review 2003., (293):
ITU-T H.263 Recommendation, ITU-T, Geneva, Switzerland, 2000
Draft ITU-T Rec. H.264, ISO/IEC 14496-10, 2002 E
Garrett M: Contributions toward real-time services on packet switched networks, M.S. thesis. Columbia University, New York, NY, USA; 1993.
Riedi R, Vehel JL: Multifractal properties of TCP traffic: a numerical study. In INRIA Research Report 3129. INRIA, Rocquencourt, Le Chesnay Cedex, France; 1997. https://doi.org/www.stat.rice.edu/%7Eriedi/cv_publications.html
Fitzek F, Reisslein M: MPEG-4 and H.263 video traces for network performance evaluation. In TKN Technical Report TKN-00-06. Technical University Berlin, Berlin, Germany; 2000.
Reisslein M, Lassetter J, Ratnam S, Lotfallah O, Fitzek F, Panchanathan S: Traffic and quality characterization of scalable encoded video: a large-scale trace-based study, part 1: overview and definitions. Telecommunications Research Center, Department of Electrical Engineering, Arizona State University, Tempe, Ariz, USA; 2002.https://doi.org/peach.eas.asu.edu/index.html
Reisslein M, Lassetter J, Ratnam S, Lotfallah O, Fitzek F, Panchanathan S: Traffic and quality characterization of scalable encoded video: a large-scale trace-based study, part 2: statistical analysis of single-layer encoded video. Telecommunications Research Center, Department of Electrical Engineering, Arizona State University, Tempe, Ariz, USA; 2002.https://doi.org/www.eas.asu.edu/trace
Reisslein M, Lassetter J, Ratnam S, Lotfallah O, Fitzek F, Panchanathan S: Traffic and quality characterization of scalable encoded video: a large-scale trace-based study, part 3: statistical analysis of temporal scalable encoded video. Telecommunications Research Center, Department of Electrical Engineering, Arizona State University, Tempe, Ariz, USA; 2002.https://doi.org/www.eas.asu.edu/trace
Fitzek F, Zorzi M, Seeling P, Reisslein M: Video and audio trace files of pre-encoded video content for network performance measurements. Telecommunications Research Center, Department of Electrical Engineering, Arizona State University, Tempe, Ariz, USA; 2003.https://doi.org/www.eas.asu.edu/trace
Krishna M, Gadre V, Desai U: Multifractal Based Network Traffic Modeling. Kluwer Academic Press, Boston, Mass, USA; 2003.
Reljin I: Neural network based cell scheduling in ATM node. IEEE Communications Letters 1998, 2(3):78–80. 10.1109/4234.662633
Reljin I, Reljin B: Neurocomputing in teletraffic: multifractal spectrum approximation. Proceedings of the 5th Seminar on Neural Network Applications in Electrical Engineering (NEUREL '00), September 2000, Belgrade, Yugoslavia 24–31.
Reljin B, Reljin I: Multimedia: the impact on the teletraffic. In Book 2. Edited by: Mastorakis N. World Scientific and Engineering Society Press, Clearance Center, Danvers, Mass, USA; 2000:366–373.
Reljin I, Reljin B: Statistical and multifractal characteristics of H.263 compressed video streams. In Proceedings of 20th Symp. on New Technologies in Post and Telecomm. Traffic, December 2002, Belgrade, Yugoslavia. Faculty of Traffic Eng.; 193–205.
Reljin I, Reljin B: Fractal and multifractal analyses of compressed video sequences. Facta Universitatis (NIS) Series: Electronics and Energetics 2003, 16(3):401–414. 10.2298/FUEE0303401R
Taqqu M, Teverovsky V, Willinger W: Estimators for long-range dependence: an empirical study. Fractals 1995, 3(4):785–788. 10.1142/S0218348X95000692
Roughan M, Veitch D, Abry P: On-line estimation of the parameters of long-range dependence. Proceedings of IEEE Global Telecommunications Conference (GLOBECOM '98), November 1998, Sydney, NSW, Australia 6: 3716–3721.
Beran I: Statistics for Long-Memory Processes. Chapman & Hall, New York, NY, USA; 1994.
Reljin I: A neural network control of ATM multiplexer, M.S. thesis. Faculty of Electrical Engineering, University of Belgrade, Belgrade, Yugoslavia; 1998.
Reljin B, Reljin I: Neural networks in teletraffic control: pro et contra? Proceedings of the 4th International Conference on Telecommunications in Modern Satellite, Cable and Broadcasting Services (TELSIKS '99), October 1999, Niš, Yugoslavia 2: 518–527.
Mandelbrot B: The Fractal Geometry of Nature. W. H. Freeman, New York, NY, USA; 1983.
Peitgen H, Jurgens H, Saupe D: Chaos and Fractals. Springer, New York, NY, USA; 1992.
Turner M, Blackledge J, Andrews P: Fractal Geometry in Digital Imaging. Academic Press, New York, NY, USA; 1998.
Evertsz C, Mandelbrot B: Multifractal measures. Appendix B. In Chaos and Fractals. Edited by: Peitgen H, Jurgens H, Saupe D. Springer, New York, NY, USA; 1992:849–881.
Iannaccone P, Khokha M (Eds): Fractal Geometry in Biological Systems. CRC Press, Boca Raton, Fla, USA; 1996.
Véhel JL, Mignot P: Multifractal segmentation of images. Fractals 1994, 2(3):371–377. 10.1142/S0218348X94000466
Véhel JL: Introduction to the multufractal analysis of images. INRIA, Rocquencourt, Le Chesnay Cedex, France; 1996.
Reljin I, Reljin B: Fractal geometry and multifractals in analyzing and processing medical data and images. Archive of Oncology 2002, 10(4):283–293. 10.2298/AOO0204283R
Stojic T, Reljin I, Reljin B: Adaptation of multifractal analysis to segmentation of microcalcifications in digital mammograms. Physica A: Statistical Mechanics and its Applications 2006, 367: 494–508.
Chhabra A, Jensen R:Direct determination of the f(
) singularity spectrum. Physical Review Letters 1989, 62(12):1327–1330. 10.1103/PhysRevLett.62.1327
Gammel BMATPACK Library Release 1.4, https://doi.org/users.physik.tu-muenchen.de/gammel/matpack/html/LibDoc/Tools/install.html
FracLab v1.1, 2003, https://doi.org/www.irccyn.ec-nantes.fr/hebergement/FracLab
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Reljin, I., Samčović, A. & Reljin, B. H.264/AVC Video Compressed Traces: Multifractal and Fractal Analysis. EURASIP J. Adv. Signal Process. 2006, 075217 (2006). https://doi.org/10.1155/ASP/2006/75217
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1155/ASP/2006/75217