Optimum number of hops in linear multihop wireless networks

Avestimehr, A., Diggavi, S., Tse, D.: Wireless network information flow: a deterministic approach. IEEE Trans. Inform. Theory 57(4), 1872–1905 (2011). doi: 10.1109/TIT.2011.2110110

Chiang, M., Hande, P., Lan, T., Tan, C.W.: Power control in wireless cellular networks. Found. Trends Netw. 2, 381–533 (2008)

Cover, T., Gamal, A.: Capacity theorems for the relay channel. IEEE Trans. Inform. Theory 25(5), 572–584 (1979). doi: 10.1109/TIT.1979.1056084

Cover, T.M., Thomas, J.A.: Elements of Information Theory, 2nd edn. Wiley, New York (2006)

Dhaka, K., Mallik, R., Schober, R.: Performance analysis of decode-and-forward multi-hop communication: a difference equation approach. IEEE Trans. Commun. 60(2), 339–345 (2012). doi: 10.1109/TCOMM.2012.12.100705

Farhadi G., Beaulieu N. (2009) Power-optimized amplify-and-forward multi-hop relaying systems. IEEE Trans. Wirel. Commun. 8(9):4634–4643 doi: 10.1109/TWC.2009.080987

Farhadi, G., Cioffi, J.: Spectral efficient multihop relaying based on alternate transmission. IEEE Trans. Wirel. Commun. 10(11), 3601–3606 (2011). doi: 10.1109/TWC.2011.092011.102059

Gomez-Vilardebo, J., Perez-Neira, A.: Bounds on maximum rate-per-energy for orthogonal AWGN multiple-relay channels. IEEE Trans. Wirel. Commun. 7(11), 4238–4247 (2008). doi: 10.1109/T-WC.2008.070486

Host-Madsen, A., Zhang, J.: Capacity bounds and power allocation for wireless relay channels. IEEE Trans. Inform. Theory 51(6), 2020–2040 (2005). doi: 10.1109/TIT.2005.847703

Ikki, S., Aissa, S.: Multihop wireless relaying systems in the presence of cochannel interferences: Performance analysis and design optimization. IEEE Trans. Veh. Technol. 61(2), 566–573 (2012). doi: 10.1109/TVT.2011.2179818

Khojastepour, M., Sabharwal, A., Aazhang, B.: On the capacity of ‘cheap’ relay networks. In: Proceedings of 37th CISS. The Johns Hopkins University, Baltimore (2003)

Kramer, G., Gastpar, M., Gupta, P.: Cooperative strategies and capacity theorems for relay networks. IEEE Trans. Inform. Theory 51(9), 3037–3063 (2005). doi: 10.1109/TIT.2005.853304

Laneman, J., Tse, D., Wornell, G.: Cooperative diversity in wireless networks: efficient protocols and outage behavior. IEEE Trans. Inform. Theory 50(12), 3062–3080 (2004). doi: 10.1109/TIT.2004.838089

Meulen, V.D.: Three terminal communication channels. Adv. Appl. Probab. 3, 120–154 (1971)

Ngo, H.Q., Larsson, E.: Linear multihop amplify-and-forward relay channels: error exponent and optimal number of hops. IEEE Trans. Wirel. Commun. 10(11), 3834–3842 (2011). doi: 10.1109/TWC.2011.092011.102194

Ong, L., Motani, M.: Optimal routing for decode-forward in cooperative wireless networks. IEEE Trans. Commun. 58(8), 2345–2355 (2010). doi: 10.1109/TCOMM.2010.08.090134

Reznik, A., Kulkarni, S., Verdu, S.: Degraded Gaussian multirelay channel: capacity and optimal power allocation. IEEE Trans. Inform. Theory 50(12), 3037–3046 (2004). doi: 10.1109/TIT.2004.838373

Sagias, N., Lazarakis, F., Tombras, G., Datsikas, C.: Outage analysis of decode-and-forward relaying over Nakagami fading channels. IEEE Signal Process. Lett. 15, 41–44 (2008). doi: 10.1109/LSP.2007.910317

Shah, V., Mehta, N., Yim, R.: The relay selection and transmission trade-off in cooperative communication systems. IEEE Trans. Wirel. Commun. 9(8), 2505–2515 (2010). doi: 10.1109/TWC.2010.070710.090487

Shannon, C.E.: A mathematical theory of communication. Bell Syst. Tech. J. 27, 379–423 (1948)

Sikora, M., Laneman, J., Haenggi, M., Costello, D., Fuja, T.: Bandwidth- and power-efficient routing in linear wireless networks. IEEE Trans. Inform. Theory 52(6), 2624–2633 (2006). doi: 10.1109/TIT.2006.874520

Vaze, R., Heath, R.: To code in space and time or not in multihop relay channels. IEEE Trans. Signal Process. 57(7), 2736–2747 (2009). doi: 10.1109/TSP.2009.2017002

Xie, L.L., Kumar, P.R.: An achievable rate for the multiple-level relay channel. IEEE Trans. Inform. Theory 51(4), 1348–1358 (2005)

Zhang, W., Stojanovic, M., Mitra, U.: Analysis of a linear multihop underwater acoustic network. IEEE J. Ocean. Eng. 35(4), 961–970 (2010). doi: 10.1109/JOE.2010.2055271