Abstract
We investigate the problem of transmiting independent sources over the Gaussian Multiple Access Channel (MAC) using a CDMA-like access scheme that allows users to transmit at different rates. Rather than using standard digital communications systems, we focus on analog joint source-channel coding techniques to encode each user’s source. We analyze the performance of the proposed scheme and demonstrate its optimality. Simulation results with practical analog joint source-channel codes optimized for point-to-point communications show that the resulting performance is very close to the theoretical limits.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Shannon, C.: A Mathematical Theory of Communication. The Bell System Technical Journal (27), 379–423 (1948)
Ramstad, T.: Shannon Mappings for Robust Communication. Telektronikk 98(1), 114–128 (2002)
Chung, S.: On the Construction of Some Capacity-Approaching Coding Schemes. Ph.D. thesis, Massachusetts Institute of Technology (2000)
Gastpar, M., Rimoldi, B., Vetterli, M.: To Code, or not to Code: Lossy Source-Channel Communication Revisited. IEEE Transactions on Information Theory 49(5), 1147–1158 (2003)
Hekland, F., Floor, P., Ramstad, T.: Shannon-Kotelnikov Mappings in Joint Source-Channel Coding. IEEE Transactions on Communications 57(1), 94–105 (2009)
Hu, Y., Garcia-Frias, J., Lamarca, M.: Analog Joint Source-Channel Coding Using Non-Linear Curves and MMSE Decoding. IEEE Transactions on Communications 59(11), 3016–3026 (2011)
Brante, G., Souza, R., Garcia-Frias, J.: Spatial Diversity Using Analog Joint Source-Channel Coding in Wireless Channels. IEEE Transactions on Communications 61(1), 301–311 (2012)
Fresnedo, O., Vázquez-Araujo, F., Castedo, L., González López, M., García-Frias, J.: Analog Joint Source-Channel Coding in MIMOrcia Rayleigh Fading Channels. In: Proceedings of 20th European Signal Processing Conference (EUSIPCO 2012), Bucharest, Romania (August 2012)
Fresnedo, O., Vázquez-Araujo, F., Castedo, L., García-Frias, J.: Analog Joint Source-Channel Coding for OFDM Systems. In: Proceedings of 14th IEEE International Workshop on Signal Processing Advances in Wireless Communications (SPAWC 2013), Darmstadt, Germany (June 2013)
Floor, P., et al.: Zero-Delay Joint Source-Channel Coding for a Bivariate Gaussian on a Gaussian MAC. IEEE Transactions on Communications 60(10), 3091–3102 (2012)
Servetto, S.: Lattice Quantization with Side Information, Codes, Asymptotics, and Applications in Sensor Networks. IEEE Transactions on Information Theory 53(2), 714–731 (2007)
Cover, T., Thomas, J.: Elements of Information Theory. Wiley-Interscience, New York (1991)
Lapidoth, A., Tinguely, S.: Sending a Bivariate Gaussian Source over a Gaussian MAC. IEEE Transactions on Information Theory 56(6), 2714–2752 (2010)
Shannon, C.: Communication in The Presence of Noise. In: Proceedings of IRE, pp. 10–21 (January 1949)
Kotel’nikov, V.: The Theory of Optimum Noise Immunity. McGraw-Hill Book Company, Inc., New York (1959)
Goblick, T.: Theoretical Limitations on the Transmission of Data from Analog Sources. IEEE Transactions on Information Theory 11(10), 558–567 (1965)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer International Publishing Switzerland
About this paper
Cite this paper
Hassanin, M., Fresnedo, O., Garcia-Frias, J., Castedo, L. (2013). Analog Joint Source Channel Coding for Gaussian Multiple Access Channels. In: Jonsson, M., Vinel, A., Bellalta, B., Marina, N., Dimitrova, D., Fiems, D. (eds) Multiple Access Communcations. MACOM 2013. Lecture Notes in Computer Science, vol 8310. Springer, Cham. https://doi.org/10.1007/978-3-319-03871-1_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-03871-1_3
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-03870-4
Online ISBN: 978-3-319-03871-1
eBook Packages: Computer ScienceComputer Science (R0)