Abstract
In this chapter, the fundamental limits of relay networks are introduced under different channel settings, including Gaussian channels and wireless fading channels. For each scenario, we will study the information-theoretic capacities, diversity-multiplexing tradeoffs, and scaling laws of large networks accordingly. In Section 5.1, we first examine the case of the single-relay Gaussian channel. When the relay is full-duplex, it can be shown that decode-and-forward (DF) and compress-and-forward (CF) schemes achieve capacity under certain scenarios; however, such results are not enjoyed in the more practical half-duplex relay network. In Section 5.2, we take the channel fading into consideration and discuss the fundamental limits under fast and slow fading scenarios.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Azarian, K., ElGamal, H., Schniter, P.:On the achievable diversity-multiplexing tradeoff in half-duplex cooperative channels. IEEE Transactions on Information Theory 51(12), 4152–4172(2005)
Cover, T., El Gamal, A.: Capacity theorems for the relay channel. IEEE Transactions on Information Theory 25(5), 572–584(1979)
Cover, T.M., Thomas, J.A.: Elements of Information Theory, 2nd edn. Wiley-Interscience(2006)
Host-Madsen, A., Zhang, J.: Capacity bounds and power allocation for wireless relay channels. IEEE Transactions on Information Theory 51(6), 2020–2040(2005)
Kramer, G.,Gastpar, M.,Gupta, P.:Cooperative strategies and capacity theorems for relay networks. IEEE Transactions on Information Theory 51(9), 3037–3063(2005)
Laneman, J., Tse, D., Wornell, G.:Cooperative diversity in wireless networks: Efficient protocols and outage behavior. IEEE Transactions on Information Theory 50(12), 3062–3080(2004)
Van Der Meulen, E.C.: Three-terminal communication channels. Advances in Applied Probability 3, 120–154(1971)
Gastpar, M., Vetterli, M.: On the capacity of large Gaussian relay networks. IEEE Transactions on Information Theory 51(3), 765–779(2005)
Telatar, ˙ I.E.: Capacity of multi-antenna Gaussian channels. European Transactions on Telecommunications 10(6), 585–595(1999)
Tse, D., Viswanath, P.: Fundamentals of Wireless Communication. Cambridge University Press(2005)
Wyner, A., Ziv, J.:The rate-distortion function for source coding with side information at the decoder. IEEE Transactions on Information Theory 22(1), 1–10(1976)
Zheng, L., Tse, D.N.C.: Diversity and multiplexing: A fundamental tradeoff in multiple-antenna channels. IEEE Transactions on Information Theory 49(5), 1073–1096(2003)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Hong, YW.P., Huang, WJ., Kuo, CC.J. (2010). Fundamental Limits of Cooperative and Relay Network. In: Cooperative Communications and Networking. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-7194-4_5
Download citation
DOI: https://doi.org/10.1007/978-1-4419-7194-4_5
Published:
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-7193-7
Online ISBN: 978-1-4419-7194-4
eBook Packages: EngineeringEngineering (R0)