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Issue No.02 - February (2010 vol.9)
pp: 270-287
Karim G. Seddik , University of Maryland, College Park
Andres Kwasinski , University of Maryland, College Park
K.J. Ray Liu , University of Maryland, College Park
ABSTRACT
A key challenge in the design of real-time wireless multimedia systems is the presence of fading coupled with strict delay constraints. A very effective answer to this problem is the use of diversity achieving techniques to overcome the fading nature of the wireless channels caused by the mobility of the nodes. The mobility of the nodes gives rise to the need of cooperation among the nodes to enhance the system performance. This paper focuses on comparing systems that exhibit diversity of three forms: source coding diversity, channel coding diversity, and user cooperation diversity implemented through multihop or relay channels with amplify-and-forward or decode-and-forward protocols. Commonly used in multimedia communications, performance is measured in terms of the distortion exponent, which measures the rate of decay of the end-to-end distortion at asymptotically high signal-to-noise ratio (SNR). For the case of repetition coding at the relay nodes, we prove that having more relays is not always beneficial. For the general case of having a large number of relays that can help the source using repetition coding, the optimum number of relay nodes that maximizes the distortion exponent is determined in this paper. This optimum number of relay nodes will depend on the system bandwidth as well as the channel quality. The derived result shows a trade-off between the quality (resolution) of the source encoder and the amount of cooperation (number of relay nodes). Also, the performances of the channel coding diversity-based scheme and the source coding diversity-based scheme are compared. The results show that for both relay and multihop channels, channel coding diversity provides the best performance, followed by the source coding diversity.
INDEX TERMS
Channel coding diversity, distortion exponent, multiple-description source coding, relay channels, source coding diversity.
CITATION
Karim G. Seddik, Andres Kwasinski, K.J. Ray Liu, "Asymptotic Distortion Performance of Source-Channel Diversity over Multihop and Relay Channels", IEEE Transactions on Mobile Computing, vol.9, no. 2, pp. 270-287, February 2010, doi:10.1109/TMC.2009.123
REFERENCES
[1] G. Kramer, M. Gatspar, and P. Gupta, “Cooperative Strategies and Capacity Theorems for Relay Networks,” IEEE Trans. Information Theory, vol. 51, no. 9, pp. 3037-3063, Sept. 2005.
[2] K.G. Seddik, A. Kwasinski, and K.J.R. Liu, “Distortion Exponents for Different Source-Channel Diversity Achieving Schemes over Multi-Hop Channels,” Proc. IEEE Int'l Conf. Comm. (ICC), June 2007.
[3] T.M. Cover and A. El Gamal, “Capacity Theorems for the Relay Channel,” IEEE Trans. Information Theory, vol. 25, no. 9, pp. 572-584, Sept. 1979.
[4] J.N. Laneman, D.N.C. Tse, and G.W. Wornell, “Cooperative Diversity in Wireless Networks: Efficient Protocols and Outage Behavior,” IEEE Trans. Information Theory, vol. 50, no. 12, pp. 3062-3080, Dec. 2004.
[5] J.N. Laneman and G.W. Wornell, “Distributed Space-Time Coded Protocols for Exploiting Cooperative Diversity in Wireless Networks,” IEEE Trans. Information Theory, vol. 49, no. 10, pp. 2415-2425, Oct. 2003.
[6] J.N. Laneman, E. Martinian, G.W. Wornell, and J.G. Apostolopoulos, “Source-Channel Diversity for Parallel Channels,” IEEE Trans. Information Theory, vol. 51, no. 10, pp. 3518-3539, Oct. 2005.
[7] L. Ozarov, “On a Source Coding Problem with Two Channels and Three Receivers,” Bell System Technical J., vol. 59, no. 10, pp. 1909-1921, Dec. 1980.
[8] A. El Gamal and T.M. Cover, “Achievable Rates for Multiple Descriptions,” IEEE Trans. Information Theory, vol. 28, no. 6, pp.851-857, Nov. 1982.
[9] V.K. Goyal, “Multiple Description Coding: Compression Meets the Network,” IEEE Signal Processing Magazine, vol. 18, no. 5, pp.74-93, Sept. 2001.
[10] W. Jiang and A. Ortega, “Multiple Description Speech Coding for Robust Communication over Lossy Packet Networks,” Proc. IEEE Int'l Conf. Multimedia and Expo, vol. 1, pp. 444-447, 2000.
[11] M. Alasti, K. Sayrafian-Pour, A. Ephremides, and N. Farvardin, “Multiple Description Coding in Networks with Congestion Problem,” IEEE Trans. Information Theory, vol. 47, no. 1, pp. 891-902, Mar. 2001.
[12] J. Kim, R.M. Mersereau, and Y. Altunbasak, “Network-Adaptive Video Streaming Using Multiple Description Coding and Path Diversity,” Proc. Int'l Conf. Multimedia and Expo. (ICME '03), vol. 3, pp. 653-656, 2003.
[13] A.R. Reibman, H. Jafarkhani, M.T. Orchard, and Y. Wang, “Performance of Multiple Description Coders on a Real Channel,” Proc. Int'l Conf. Acoustics, Speech and Signal Processing (ICASSP '99), vol. 5, pp. 2415-2418, 1999.
[14] K. Bhattad, K.R. Narayanan, and G. Caire, “On the snr Exponent of Hybrid Digital-Analog Space Time Coding,” Proc. Asilomar Conf. Signals, Systems and Computers (ACSSC), Oct./Nov. 2006.
[15] T. Holliday and A. Goldsmith, “Joint Source and Channel Coding for Mimo Systems,” Proc. Allerton Conf., Oct. 2004.
[16] D. Gunduz and E. Erkip, “Source and Channel Coding for Cooperative Relaying,” IEEE Trans. Information Theory, vol. 53, no. 10, pp. 3454-3475, Oct. 2007.
[17] X. Xu, D. Gunduz, E. Erkip, and Y. Wang, “Layered Cooperative Source and Channel Coding,” Proc. IEEE Int'l Conf. Comm. (ICC), vol. 2, pp. 1200-1204, May 2005.
[18] T. Cover and J. Thomas, Elements of Information Theory. John Wiley, Inc., 1991.
[19] Z. Wang and G.B. Giannakis, “What Determines Average and Outage Performance in Fading Channels?” Proc. IEEE Global Comm. Conf. (GLOBECOM '02), vol. 2, pp. 1192-1196, Nov. 2002.
[20] Z. He, J. Cai, and C.W. Chen, “Joint Source Channel Rate-Distortion Analysis for Adaptive Mode Selection and Rate Control in Wireless Video Coding,” IEEE Trans. Circuits and Systems for Video Technology, vol. 12, no. 6, pp. 511-523, June 2002.
[21] A. Kwasinski, Z. Han, K.J.R. Liu, and N. Farvardin, “Power Minimization Under Real-Time Source Distortion Constraints in Wireless Networks,” Proc. IEEE Wireless Comm. and Networking Conf. (WCNC), vol. 1, pp. 532-536, Mar. 2003.
[22] D. Gunduz and E. Erkip, “Joint Source-Channel Cooperation: Diversity versus Spectral Efficiency,” Proc. IEEE Int'l Symp. Information Theory (ISIT), p. 392, June/July 2004.
[23] D. Gunduz and E. Erkip, “Source and Channel Coding for Cooperative Relaying,” Proc. Int'l Workshop Signal Processing Advances for Wireless Comm. (SPAWC), pp. 970-974, June 2005.
[24] S.M. Alamouti, “A Simple Transmit Diversity Technique for Wireless Communiucations,” IEEE J. Selected Areas Comm., vol. 16, no. 8, pp. 1451-1458, Oct. 1998.
[25] H.L. Van Trees, Detection, Estimation, and Modulation Theory-Part (I). Wiley, 1968.
[26] I.S. Gradshteyn and I.M. Ryshik, Table of Integrals, Series and Products, sixth. ed. Academic Press, 2000.
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