Abstract
This paper presents achievable regions in slotted ALOHA throughput both without and with network coding for one-relay two-hop wireless networks between two end node groups. In this paper, there are no restrictions on the total traffic and the number of end nodes per group. It follows that the relay node will be generally involved with asymmetric bidirectional traffic. This paper derives closed-form expressions of the throughput and packet delay per group both without and with network coding from a theoretical perspective regardless of whether the buffer on the relay node is saturated or not. Furthermore, we show that the maximum throughput per group with network coding can be achieved at the boundary of the relay buffer saturation and unsaturation which is expressed as the solution of a polynomial equation in two group node traffics. As a result, we clarify the enhancement of the achievable region in slotted ALOHA throughput by applying network coding.
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
Ishmael, J., Bury, S., Pezaros, D., Race, N.: Deploying Rural Community Wireless Mesh Networks. IEEE Internet Computing 12(4), 22–29 (2008)
Ipakchi, A., Albuyeh, F.: Grid of the Future. IEEE Power and Energy Magazine 7(2), 52–62 (2009)
Ahlswede, R., Li, S., Yeung, R.: Network Information Flow. IEEE Transactions on Information Theory 46(4), 1204–1216 (2000)
Li, S.R., Yeung, R.W., Cai, N.: Linear Network Coding. IEEE Transactions on Information Theory 49(2), 371–381 (2003)
Ho, T., Médard, M., Koetter, R., Karger, D.R., Effros, M., Shi, J., Leong, B.: A Random Linear Network Coding Approach to Multicast. IEEE Transactions on Information Theory 52(10), 4413–4430 (2006)
Katti, S., Rahul, H., Hu, W., Katabi, D., Médard, M., Crowcroft, J.: XOR’s in the Air: Practical Wireless Network Coding. IEEE/ACM Transactions on Networking 16(3), 497–510 (2008)
Matsuda, T., Noguchi, T., Takine, T.: Broadcasting with Randomized Network Coding in Dense Wireless Ad Hoc Networks. IEICE Transactions on Communications E91-B(10), 3216–3225 (2008)
Hasegawa, J., Yomo, H., Kondo, Y., Davis, P., Sakakibara, K., Miura, R., Obana, S.: Bidirectional Packet Aggregation and Coding for Efficient VoIP Transmission in Wireless Multi-Hop Networks. IEICE Transactions on Communications E92-B(10), 3060–3070 (2009)
Sagduyu, Y.E., Ephremides, A.: Cross-Layer Optimization of MAC and Network Coding in Wireless Queueing Tandem Networks. IEEE Transactions on Information Theory 54(2), 554–571 (2008)
Le, J., Lui, J., Chiu, D.M.: How Many Packets can We Encode? — An Analysis of Practical Wireless Network Coding. In: IEEE INFOCOM (2008)
Gitman, I.: On the Capacity of Slotted ALOHA Networks and Some Design Problems. IEEE Transactions on Communications COM-23(3), 305–317 (1975)
Tobagi, F.A.: Analysis of a Two-Hop Centralized Packet Radio Network—Part I: Slotted ALOHA. IEEE Transactions on Communications COM-28(2), 196–207 (1980)
Tobagi, F.A.: Analysis of a Two-Hop Centralized Packet Radio Network—Part II: Carrier Sense Multiple Access. IEEE Transactions on Communications COM-28(2), 208–216 (1980)
Umehara, D., Hirano, T., Denno, S., Morikura, M.: Throughput Analysis of Wireless Relay Slotted ALOHA Systems with Network Coding. In: IEEE Global Communications Conference (2008)
Umehara, D., Hirano, T., Denno, S., Morikura, M., Sugiyama, T.: Wireless Network Coding in Slotted ALOHA with Two-Hop Unbalanced Traffic. IEEE Journal on Selected Areas in Communications 27(5), 647–661 (2009)
Abramson, N.: The Throughput of Packet Broadcasting Channels. IEEE Transactions on Communications COM-25(1), 117–128 (1977)
Kleinrock, L.: Queueing Systems, Volume II: Computer Applications. John Wiley and Sons, Chichester (1976)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
About this paper
Cite this paper
Umehara, D., Denno, S., Morikura, M., Sugiyama, T. (2010). Achievable Region in Slotted ALOHA Throughput for One-Relay Two-Hop Wireless Network Coding. In: Zheng, J., Mao, S., Midkiff, S.F., Zhu, H. (eds) Ad Hoc Networks. ADHOCNETS 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11723-7_25
Download citation
DOI: https://doi.org/10.1007/978-3-642-11723-7_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11722-0
Online ISBN: 978-3-642-11723-7
eBook Packages: Computer ScienceComputer Science (R0)