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
-
K Rao, Z Bojkovic, D Milovanovic, Multimedia Communication Systems: Techniques, Standards, and Networks (Prentice-Hall, Englewood Cliffs, NJ, USA, 2002)
-
Y Wang, J Osterman, YQ Zhang, Video Processing and Communications (Prentice-Hall, Englewood Cliffs, NJ, USA, 2002)
-
R Schäfer, T Wiegand, H Schwarz, The emerging H.264/AVC standard. EBU Technical Review (2003)
-
ITU-T, (H), . 263 Recommendation, ITU-T, Geneva, Switzerland, 2000
-
M Garrett, in Contributions toward real-time services on packet switched networks, M, ed. by . S. thesis (Columbia University, New York, NY, USA, 1993)
-
R Riedi, JL Vehel, Multifractal properties of TCP traffic: a numerical study. INRIA Research Report 3129 (INRIA, Rocquencourt, Le Chesnay Cedex, France, 1997) (http://www, 1997), . stat.rice.edu/%7Eriedi/cv_publications.html webcite
-
F Fitzek, M Reisslein, MPEG-4 and H.263 video traces for network performance evaluation. TKN Technical Report TKN-00-06 (Technical University Berlin, Berlin, Germany, 2000)
-
M Reisslein, J Lassetter, S Ratnam, O Lotfallah, F Fitzek, S Panchanathan, 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) (http://peach, 2002), . eas.asu.edu/index.html webcite
-
M Reisslein, J Lassetter, S Ratnam, O Lotfallah, F Fitzek, S Panchanathan, 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) (http://www, 2002), . eas.asu.edu/trace webcite
-
M Reisslein, J Lassetter, S Ratnam, O Lotfallah, F Fitzek, S Panchanathan, 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) (http://www, 2002), . eas.asu.edu/trace webcite
-
F Fitzek, M Zorzi, P Seeling, M Reisslein, 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) (http://www, 2003), . eas.asu.edu/trace webcite
-
M Krishna, V Gadre, U Desai, Multifractal Based Network Traffic Modeling (Kluwer Academic Press, Boston, Mass, USA, 2003)
-
I Reljin, Neural network based cell scheduling in ATM node. IEEE Communications Letters 2(3), 78–80 (1998). Publisher Full Text
-
I Reljin, B Reljin, 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
-
B Reljin, I Reljin, Multimedia: the impact on the teletraffic. in Book 2, ed. by Mastorakis N (World Scientific and Engineering Society Press, Clearance Center, Danvers, Mass, USA, 2000), pp. 366–373
-
I Reljin, B Reljin, Statistical and multifractal characteristics of H.263 compressed video streams. in Proceedings of 20th Symp, ed. by . on New Technologies in Post and Telecomm. Traffic, December 2002, Belgrade, Yugoslavia (Faculty of Traffic Eng.), pp. 193–205
-
I Reljin, B Reljin, Fractal and multifractal analyses of compressed video sequences. Facta Universitatis (NIS) Series: Electronics and Energetics 16(3), 401–414 (2003). Publisher Full Text
-
M Taqqu, V Teverovsky, W Willinger, Estimators for long-range dependence: an empirical study. Fractals 3(4), 785–788 (1995). Publisher Full Text
-
M Roughan, D Veitch, P Abry, 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
-
I Beran, Statistics for Long-Memory Processes (Chapman & Hall, New York, NY, USA, 1994)
-
I Reljin, in A neural network control of ATM multiplexer, M, ed. by . S. thesis (Faculty of Electrical Engineering, University of Belgrade, Belgrade, Yugoslavia, 1998)
-
B Reljin, I Reljin, 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
-
B Mandelbrot, The Fractal Geometry of Nature (W. H. Freeman, New York, NY, USA, 1983)
-
H Peitgen, H Jurgens, D Saupe, Chaos and Fractals (Springer, New York, NY, USA, 1992)
-
M Turner, J Blackledge, P Andrews, Fractal Geometry in Digital Imaging (Academic Press, New York, NY, USA, 1998)
-
C Evertsz, B Mandelbrot, Multifractal measures. Appendix B. in Chaos and Fractals, ed. by Peitgen H, Jurgens H, Saupe D (Springer, New York, NY, USA, 1992), pp. 849–881
-
Iannaccone P, Khokha M (eds.), Fractal Geometry in Biological Systems (CRC Press, Boca Raton, Fla, USA, 1996)
-
JL Véhel, P Mignot, Multifractal segmentation of images. Fractals 2(3), 371–377 (1994). Publisher Full Text
-
JL Véhel, Introduction to the multufractal analysis of images (INRIA, Rocquencourt, Le Chesnay Cedex, France, 1996)
-
I Reljin, B Reljin, Fractal geometry and multifractals in analyzing and processing medical data and images. Archive of Oncology 10(4), 283–293 (2002). Publisher Full Text
-
T Stojic, I Reljin, B Reljin, Adaptation of multifractal analysis to segmentation of microcalcifications in digital mammograms. Physica A: Statistical Mechanics and its Applications 367, 494–508 (2006)
-
A Chhabra, R Jensen, Direct determination of the f( ) singularity spectrum. Physical Review Letters 62(12), 1327–1330 (1989). PubMed Abstract | Publisher Full Text
-
B Gammel, (MATPACK Library Release 1), . 4, http://users.physik.tu-muenchen.de/gammel/matpack/html/LibDoc/Tools/install.html webcite