- Research Article
- Open Access
Internode Distance-Based Redundancy Reliable Transport in Underwater Sensor Networks
© Bin Liu et al. 2010
- Received: 26 October 2009
- Accepted: 4 February 2010
- Published: 24 March 2010
Underwater communication is a very challenging topic. Protocols used in terrestrial sensor networks cannot be directly applied in the underwater world. High-bit error rate and large propagation delay make the design of transport protocols especially awkward. ARQ-based reliable transport schemes are not appropriate in underwater environments due to large propagation delay, low communication bandwidth, and high error probability. Thus, we focus on redundancy-based transport schemes in this paper. We first investigate three schemes that employ redundancy mechanisms at the bit and/or packet level to increase the reliability in a direct link scenario. Then, we show that the broadcast property of the underwater channel allows us to extend those schemes to a case with node cooperative communication. Based on our analysis, an adaptive redundancy transport protocol (ARRTP) for underwater sensor networks is proposed. We suggest an architecture for implementation. For two kinds of topologies, namely, regular and random, we show that ARRTP presents a better transmission success probability and energy efficiency tradeoff for single- and multihop transmissions. We also offer an integrated case study to show that ARRTP is not only supplying reliability but also has some positive effect in guiding the deployment of underwater sensor nodes.
- Sensor Node
- Data Packet
- Success Probability
- Random Topology
- Underwater Environment
Understanding the key mechanisms of the oceans is crucial for the knowledge of the Earth's climate and atmosphere. Over the past few years, there has been a relentless effort to investigate the abyssal plain in the oceans. This interest is highly motivated by various applications, such as scientific exploration, commercial exploitation, oceanographic data collection, pollution monitoring, tactical surveillance, and coastline protection. Underwater Sensor Networks (UWSNs) are proving to be a promising technique for these applications [1, 2].
As in terrestrial wireless sensor networks, reliable data transport is one of the basic elements in UWSNs because mission critical applications need its support. The problem of reliable data delivery in multihop wireless networks is by itself not new and has been addressed by many existing works in the context of terrestrial wireless networks [3, 4]. However, these approaches cannot be directly applied to UWSNs because radio communication in terrestrial wireless networks is replaced with acoustic communication in aquatic environments.
There are several significant distinctions between the terrestrial radio-based channel and the underwater acoustic channel. One is that the signal propagation speed in the underwater acoustic channel is around m/s, which is five orders of magnitude lower than the radio propagation speed ( m/s). Secondly, the available bandwidth of the underwater acoustic channel is limited and strongly depends upon both transmission range and frequency (e.g., the longer the communication distance, the lower the available bandwidth of the underwater acoustic channel); most commercial acoustic modems operate below 30 kHz. In addition, the underwater acoustic channel is affected by many possible factors, such as path loss, noise, multipath and Doppler spread. The path loss is caused by spreading and absorption. The noise comes from various sources such as the movement of water, rain and wind, seismic and volcanic activities or biological phenomena, which are obviously different compared to their counterpart in terrestrial environments. In shallow waters, the signal reflection from the surface and seabed creates multipaths whereas in deep waters, this may occur due to topographic sources like hills, cliffs, or hollows. Phase and amplitude fluctuations caused by relatively large motion-induced Doppler spreads also lead to a high bit-error probability relative to most radio channels.
In short, the underwater acoustic channel features large propagation delays, limited available bandwidth, and high error probability. All these features pose challenges for reliable data transport in UWSNs.
Broadly speaking, there are two types of approaches for reliable data transport, namely, endtoend and hopbyhop. Many studies have shown that the end-to-end approach is infeasible for terrestrial sensor networks [3–5]. This conclusion still holds in underwater sensor networks and is additionally justified by the large propagation delay and the high error probability. The very large end-to-end delay introduces difficulties for the two ends to manage data transmission timely, while the high channel error probability makes the success probability of end-to-end data transport rather low which results in too many retransmissions for a success packet delivery. Thus, the hop-by-hop approaches are more appropriate for UWSNs.
Additionally, the hop-by-hop reliability can be guaranteed by providing either Retransmission or Redundancy. Retransmission  is the most common reliable transport scheme which allows a receiver to recover from retransmitting error packets. Although it works well in terrestrial networks, such scheme-like automatic repeat request (ARQ) mechanisms are not appropriate in the underwater world mainly because of the propagation delay but also because of the energy consumption.
The large propagation delay leads to a large hop-by-hop RTT. Thus, if the sender uses feedbacks from the receiver to pace its sending rate, it will wait a long period of time to ensure a successful transmission, which makes the utilization of communication channels very low.
The high error probability may cause more packet losses in the UWSNs than in the terrestrial sensor networks. And the limited available bandwidth will be further wasted in the case of lost feedback. If positive feedback transmissions are lost, not only will the bandwidth resources be wasted, but also some successfully received packets will be retransmitted by the sender, causing more energy consumption. Similarly, if negative feedback transmissions are lost, the successive retransmitted NACKs will consume the valuable bandwidth as well as cost extra energy and increase the communication delay.
Besides feedback-based retransmission mechanisms, redundancy transmission is another effective approach to achieve high reliability. Redundancy transmission can be implemented at the bit level  and at the packet level , which correspond to bit level forward error correction (FEC) and packet level erasure coding, respectively. Bit level FEC is a typical bit error detection and correction mechanism, and there have been many mature algorithms, such as BCH codes and convolutional codes. Erasure coding at the packet level works as follows. original packets are encoded into packets for reliable transmission, so as to recover original packets if receiving at least out of the encoded data packets. Here, is a small constant and varies depending on concrete algorithms, such as Reed-Solomon codes or Tornado codes. Compared with retransmission-based reliable transport schemes, redundancy-based schemes can avoid the inconveniences caused by feedback. However, in the case of sensor nodes, for both kinds of redundancy, error control parities consume valuable transceiver energy which must be taken into account. The encoding/decoding energy also needs to be incorporated.
From the above analysis, we believe that redundancy-based hop-by-hop reliable transport mechanisms are preferred in underwater environment and we will investigate them in this paper. This paper begins with a brief review of the literature on reliable transport protocols in UWSNs. Then, in Section 3, we define in more details the characteristics of acoustic channels and give its mathematical model. Applying BCH and/or Reed-Solomon codes, three reliable transport schemes are proposed and analyzed in two different scenarios: with and without cooperation (Sections 4 and 5) between nodes. Based on these analyses, Section 6 presents an integrated adaptive redundancy reliable transport protocol (ARRTP) and its implementation framework. Simulations are conducted to demonstrate the benefits of our proposed protocol in Section 7. We also propose an initial idea about how to apply ARRTP to topology management in Section 8. Finally, we conclude our work in Section 9.
Nearly all of the reliable transport protocols for terrestrial sensor networks (such as PSFQ  and RMST ) are based on the ARQ mechanism and thus, not applicable to underwater sensor networks. And so far, reliable transport protocols for underwater sensor networks have not been addressed except recently [9, 10].
In , the authors introduce a per-hop hybrid implicit/explicit acknowledgement scheme for stop and wait ARQ in a multi-hop acoustic channel. In this scheme, when a relay node receives a packet, it sends an acknowledgement message only when its previous data transmission has been already acknowledged. The acknowledgement can be implicit with the data packet itself or explicit with an acknowledgement message. Unfortunately, both mechanisms have a high time-out. They demonstrate that their protocol has a better latency and energy efficiency than the traditional schemes. However, the latency remains high and when the explicit acknowledgement is used, it increases the energy expenditure.
In , the authors propose a segmented data reliable transport protocol called SDRT. SDRT is a hybrid of FEC and ARQ. It uses erasure codes (simple variant of Tornado codes) to send data block by block and hop by hop. Basically, the source encodes and sends a data block to the next node. The intermediate node decodes, reconstructs, and re-encodes the data block. Then it forwards it to the next node. The sender continues to pump encoded packets into the channel until it receives a positive acknowledgement message from its next node. SDRT reduces the total number of transmitted packets, improves channel utilization, and simplifies protocol management. On the other hand, its main drawback comes from the utilization of ARQ packets. Indeed, SDRT keeps sending packets until it receives a positive feedback which obviously wastes energy. Furthermore, if a node suddenly stops relaying, the sender will hardly detect it, which leads to an increased communication cost.
We have previously stated that underwater communication diverges from the terrestrial wireless one. In this section, we mathematically characterize the features of underwater acoustic channels and present its analytical model for the convenience of discussion in the rest of this paper.
where denotes the source level which determines the transmission power, denotes the transmission loss, denotes the noise level, and denotes the directivity index (all quantities are in dB). In the following, we consider omnidirectional hydrophones, which implies that the diversity index is 0.
where , with being the effective sound pressure, the density of sea water, and the propagation velocity of the sound wave in sea water. The speed of sound varies with the pressure, temperature, and salinity and thus depends on the environment. The pressure depends on the depth as well. For simplicity, we assume a constant speed of . Thus, we take .
For the bit-level FEC, there are mainly two kinds of codes: BCH codes and convolutional codes. We consider the former type not only because BCH codes are more efficient decoding algorithms but also consider that the energy efficiency is rather low when apply convolutional codes to sensor networks . As for BCH, we consider the special case of binary BCH codes. For these codes, the following property holds . For all positive integers and , there exists a binary BCH code that has a code segment length of , of which at most are overhead bits that can reliably correct up to errors.
For the packet-level erasure coding, the two types of codes are linear codes and nonlinear codes . Linear codes, such as Reed-Solomon (RS) codes , have better error correction capabilities but consume more energy in the encoding/decoding process than nonlinear codes (e.g., Random codes  and LT codes ). Fortunately, we can use a "look-up table" method to replace some of the complex encoding/decoding calculations when linear codes are employed in sensor nodes with restricted computational resources . So the most common linear codes, RS codes are chosen here. For RS codes, original data packets can be reconstructed by receiving any packets out of ones, with check packets.
Thus, we can refer to the three implementations in Figure 2 as the BCH scheme, the RS scheme, and the RS_BCH scheme, respectively. In this section, we first study the performances of the three schemes in a simple communication scenario between two nodes. Then in Section 5, when additionally utilizing node redundancy and the broadcast property of the underwater channel in large-scale UWSNs, we analyze the three schemes in a cooperative scenario in which a source node can send data to a destination with the help of a third relaying node. The two metrics employed are the success probability of transmitting a block of packets and the expected total energy consumption.
In (18), because RS schemes do not employ bit-level FEC, we subtract which is the overhead due to BCH encoding. (Instead of bit-level FEC, cyclic redundancy check (CRC) can be used in the RS scheme. We assume that CRC can detect every possible packet error and neglect the messaging overhead .)
4.2. Expected Total Energy Consumption
where and are the energy of the multiplication and addition processes, respectively, in the Galois field , with being used in BCH. In , the typical value of and is fixed at and , respectively.
As early mentioned, we use a "look-up table" method to implement RS, codes as the packet-level erasure coding. In , finite fields operations and look-up tables are suggested to avoid heavy operations, such as vector arithmetic and matrix inversions in the encoding and decoding processes of RS codes. In this paper, we assume that the packet number of a block is relatively small, that is, no more than 8 packets per block, which is suitable for "look-up table" approach. Thus, the energy spent on encoding and decoding is negligible when we consider the energy spent on sending and receiving the redundancy check packets .
4.3. Numerical Results
Although we have presented the models for both single- and multihop communications, we only present the numerical results for one-hop transmission in this subsection. This will guide our protocol design in Section 6.
Assume that the depth is 10 m and we use BCH with and . Therefore, the packet length is bits and the overhead bits. Transmissions are based on block and each block consists of 4 data packets. According to the experimental results of , the added redundancy should not exceed of the block size. Thus, for our 4 data packets per block, we set the redundancy check packet number to 1 or 2. Four concrete schemes, that is, BCH scheme, RS scheme with two redundancy packets, and RS_BCH scheme with one or two redundancy packets, are discussed here and referred as BCH, RS ( ), RS_BCH ( ), and RS_BCH ( ), respectively.
In this paper, we define that a scheme is reliable if it achieves a hop-by-hop successful transmission probability greater than or equal to 99% for a block of packets. In order to do this, the source level (transmission power level) is set to 131 dB to guarantee that in one hop transmission, for any node distance within [0.1, 100] km, there is at least one scheme that can achieve a success probability above 99%.
6.1. Discussions and Useful Principles
Since the numerical results are credible, we summarize some useful principles obtained from numerical results of Sections 4 and 5.
(i)By considering both the success probability and energy consumption, we should choose different reliable transport schemes (BCH scheme or RS_BCH scheme) for different internode distance ranges. In addition, the RS scheme should be ignored because it hardly makes a tradeoff between high reliability and low energy consumption.
Compared with noncooperative communication, cooperation can supply additional reliability from the node redundancy for all the schemes. For example, the three thresholds in non-cooperation model are 43 km, 62 km, and 86 km, while they are 53 km, 76 km, and 92 km in cooperation model. For non-cooperation, BCH cannot be used when the node distance is above 62 km, while it is reliable enough until 76 km in the cooperation case. Thus, the scheme thresholds for non-cooperation still hold in the cooperative environment, but, conversely, they do not hold.
6.2. Description of ARRTP
With the above discussions in mind, we propose ARRTP, an adaptive redundancy reliable transport protocol that achieves the best tradeoff between reliability and energy consumption. The protocol is rather simple. For different internode distances, it uses different redundancy schemes.
Let be the number of data packets in each block transmission and the maximum possible number of redundancy check packets. Then, from the functions and processing presented in Section 4, we can determine the proper transmission power SL and distance thresholds , , where are the applicable distance boundaries for the BCH, RS_BCH (1), and RS_BCH ( ) schemes. ( is the maximum possible internode distance and set to 100 km in this paper.) Based on these thresholds, we can adaptively choose a proper redundancy reliable transport scheme for each interval . In other words, for distances shorter than , ARRTP will use the BCH scheme; between and , RS_BCH ( ) scheme is the appropriate candidate, while above , ARRTP applies RS_BCH ( ) scheme. This adaptive configuration can be kept in a Distance-Strategy Table by each node.
In ARRTP, the Distance-Strategy Table (DS Table) is obtained from the noncooperative scenarios. As we discussed in Section 6.1, the table also holds in the cooperative environment. And when applying the table to cooperative communications, we can reduce the to save energy consumption in each node. For example, according to the numerical results of Sections 4 and 5, when using the setting and , we deploy Table 1 to each node with and for noncooperative and cooperative next hop transmission, respectively.
When packets are received, they are first fed into the BCH buffers. After the decoding operation, packets with errors are dropped. If the current node is a cooperative one, it just forwards all the available packets to the destination. And if the receiver is a target node in the routing, then depending on the distance to the downstream node, whether the transmission scheme should be changed is determined. If the transmission scheme needs to be changed according to the DS table, then packets are pushed into the data or check packet queues and decoded by the RS decoder. Finally, packets are sent to the upper layer.
7.1. ARRTP in Two Types of Topology
In this section, we discuss ARRTP in two kinds of topology. We use the same parameter settings as in Sections 4 and 5. And all the results below are averaged from 50 simulations.
7.2. Comparison of the Simulation Results
For the regular topology, the for 1, 3, and 10 hops per area that we can get are , , and in a noncooperative scenario, while the values are , , and in cooperative scenario. And in the random topology, equals 14.68% (3 hops), 20.38% (10 hops), and 23.20% (30 hops) for the noncooperative model and 14.28%, 18.98%, and 18.61% for the cooperative model.
7.3. ARRTP with Different RS Codes
In the previous work, to investigate different schemes efficiently, we assume that nodes use the distance determinative optimal frequencies, so there may exist several available bit rates in a network which is not very applicable. Hence, here we assume that the bit rates of all the sensor nodes are the same, and set to 2 kHz based on Figure 1(b), which is well within the bit rates of current hydrophones . Then by functions and process in Section 4, we can find an apropos rating source level 133 dB for each sensor node with which Table 1 can be used.
Assuming a batch of sensor nodes deployed to monitor a region of underwater environment, we take the distance between each tier as the varying parameter and propose two distance assignment methods.
(1)Constant intertier distance assignment (CTDA): the intertier distance of each tier is the same. Thus, as we introduced above, a same redundancy scheme can be applied to all the tiers.
(2)Variable intertier distance assignment (VTDA): (7) and (2) show that distance is the important variable that impacts both SNR and BER. For a certain bit rate and source level, the smaller the internode distance, the lower the BER. Considering that, when compared to the nodes in the higher tiers, nodes in the lower tiers forward more data and play more important roles in the whole network, it would be beneficial to assign distances in a way that reduces the BER of nodes at lower tiers. Similar to the regular topology, we divide the tiers into several areas and place the nodes in the lowest area at the shortest intertier distance from the base station, and we increase the intertier distance for each subsequent area. Hence, according to the case of regular topologies discussed in Section 7.1, ARRTP becomes the most appropriate redundancy scheme for VTDA.
For CTDA, we use three intertier distances 30 km, 60 km, and 90 km, which we apply to BCH, RS_BCH ( ), and RS_BCH ( ), respectively. For VTDA, we divide all the tiers into three areas, and each area consists of one third of the tiers. The inter-tier distances and schemes used by ARRTP for the three areas are the same as the three cases of CTDA. Thus, if the network scale (the radius of the lowest tier) is 360 km, we need 12 tiers, 6 tiers and 4 tiers for each CTDA case, but only need a total of 6 tiers, (2 tiers in each of the three areas) for each VTDA case.
Figure 13(c) illustrates a representative grid topology of 9 nodes in a UWSN. The node indices indicate the order in which nodes are placed in the grid coverage area . Within the grid topology, nodes self-organize into a triangular lattice, as shown in Figure 13(c). This architecture allows two nodes with the same child to share the load of forwarding the same childs data. Load sharing is beneficial when one of the two parent nodes has fewer children than the other, since the parent nodes can take turns forwarding the common childs data packets. We expect that the distances of the two paths from a child to the two parents to be different, and the biased path to be farther than the beeline path, which means a higher BER and lower reliability. So for the biased path, we use another node to cooperatively transmit the packets.
In the grid topology, the total energy consumption depends on the routing combination from the lowest tier to the highest tier. Since we suppose that all the sensor nodes send signals with the same rating power level (133 dB), the lowest energy consumption is obtained if the beeline paths are used in all the tiers (refer to Figures 14(a) and 14(b)), and the highest one is obtained when biased pathes are used in each tier (refer to Figures 14(c) and 14(d)). If the routing combination is a hybrid of beeline and biased pathes, the energy consumption is between the minimum and the maximum.
However, both the line topology and the grid topology have a similar trend in success probability and total energy consumption, which shows that ARRTP is not only a good transport protocol in UWSNs but also has some positive effect in guiding the deployment of underwater sensor nodes.
Due to the singular features of underwater environments, feedback-based protocols like ARQ mechanisms are inconvenient. Therefore, we have naturally focused our work on redundancy solutions. We have studied three schemes that combine redundancy mechanisms at the bit and/or packet level to increase the reliability. Benefitting from the broadcast property of the environment, we have reduced the energy consumption and increased the reliability by using a cooperative approach. The numerical results led us to design an adaptive redundancy transport protocol called ARRTP. Compared with the basic schemes, simulation results demonstrate that this new protocol succeeds in providing a better tradeoff between reliability and energy consumption in both regular and random topologies. At last, by an integrated case study, we have also shown that besides the merits as a protocol, ARRTP also has some positive effects on guiding the deployment of underwater sensor nodes.
As future work, we would like to further explore the benefits of cooperation in underwater sensor networks. We intend to compare ARRTP to other bit and packet level redundancy strategies.
This work was supported by the CREST Advanced Integrated Sensing Technology project of the Japan Science and Technology Agency.
- Akyildiz IF, Pompili D, Melodia T: Challenges for efficient communication in underwater acoustic sensor networks. SIGBED Review 2004, 1(2):3-8. 10.1145/1121776.1121779View ArticleGoogle Scholar
- Partan J, Kurose J, Levine BN: A survey of practical issues in underwater networks. Proceedings of the 1st ACM International Workshop on Underwater Networks (WUWNet '06), September 2006, Los Angeles, Calif, USA 17-24.View ArticleGoogle Scholar
- Stann F, Heidemann J: Rmst: reliable data transport in sensor networks. Proceedings of the ACM International Workshop on Wireless Sensor Networks and Applications (WSNA '03), 2003 102-112.Google Scholar
- Wan C-Y, Campbell AT, Krishnamurthy L: PSFQ: a reliable transport protocol for wireless sensor networks. Proceedings of the ACM International Workshop on Wireless Sensor Networks and Applications (WSNA '02), September 2002 1-11.View ArticleGoogle Scholar
- Kim S, Fonseca R, Culler D: Reliable transfer on Wireless Sensor Networks. Proceedings of the 1st Annual IEEE Communications Society Conference on Sensor and Ad Hoc Communications and Networks (SECON '04), October 2004 449-459.Google Scholar
- IEEE Standard 802. 15. 4 TM. IEEE Press, New York, NY, USA; 2003.Google Scholar
- Wicker S: Error Control Coding for Digital Communication and Storage. Prentice-Hall, Englewood Cliffs, NJ, USA; 1995.Google Scholar
- Rizzo L: Effective erasure codes for reliable computer communication protocols. Computer Communication Review 1997, 27(2):24-36. 10.1145/263876.263881View ArticleGoogle Scholar
- Tan H-P, Seah WKG, Doyle L: A multi-hop ARQ protocol for underwater acoustic networks. Proceedings of the IEEE Oceans Conference (OCEANS '07), June 2007 1-6.Google Scholar
- Xie P, Cui J-H: An FEC-based reliable data transport protocol for underwater sensor networks. Proceedings of the 16th International Conference on Computer Communications and Networks (ICCCN '07), August 2007 747-753.Google Scholar
- Medwin H: Sounds in the Sea: From Ocean Acoustics to Acoustical Oceanography. Cambridge University Press, Cambridge, Mass, USA; 2005.Google Scholar
- Goldsmith A: Wireless Communications. Cambridge University Press, Cambridge, Mass, USA; 2005.View ArticleGoogle Scholar
- Urick RJ: Principles of Underwater Sound. 3rd edition. McGraw-Hill, Boston, Mass, USA; 1983.Google Scholar
- Thorp WH: Analytic description of the low-frequency attenuation coefficient. Journal of Acoustical Society of America 1967, 42(1):270.View ArticleGoogle Scholar
- Coates RF: Underwater Acoustic Systems. John Wiley & Sons, New York, NY, USA; 1989.Google Scholar
- Stojanovic M: On the relationship between capacity and distance in an underwater acoustic communication channel. Proceedings of the 1st ACM International Workshop on Underwater Networks (WUWNet '06), September 2006, Los Angeles, Calif, USA 41-47.View ArticleGoogle Scholar
- LinkQuest Inc : Underwater acoustic modem. 2007.Google Scholar
- Sankarasubramaniam Y, Akyildiz IF, McLaughlin SW: Energy efficiency based packet size optimization in wireless sensor networks. Proceedings of the IEEE International Workshop on Sensor Network Protocols and Applications (SNPA '03), 2003 1-8.View ArticleGoogle Scholar
- Michelson AM, Levesque AH: Error-Control Techniques for Digital Communication. John Wiley & Sons, New York, NY, USA; 1985.Google Scholar
- Lettieri P, Schurgers C, Srivastava M: Adaptive link layer strategies for energy efficient wireless networking. Wireless Networks 1999, 5(5):339-355. 10.1023/A:1019123700246View ArticleGoogle Scholar
- Xu Y, Lee W-C, Xu J: Analysis of a loss-resilient proactive data transmission protocol in wireless sensor networks. Proceedings of the 1st ACM International Workshop on Underwater Networks (WUWNet '06), 2006 17-24.Google Scholar
- Luby M: LT codes. Proceedings of the 34th Annual Symposium on Foundations of Computer Science (FOCS '02), November 2002 271-280.Google Scholar
- Barkai D: Peer-to-Peer Computing: Technologies for Sharing and Collaborating on the Net. Intel Press; 2002.Google Scholar
- Karvonen H, Shelby Z, Pomalaza-Ráez C: Coding for energy efficient wireless embedded networks. Proceedings of the International Workshop on Wireless Ad-Hoc Networks (IWWAN '04), May-June 2004, Oulu, Finland 300-304.Google Scholar
- Lin S, Costello DJ: Error Control Coding: Fundamentals and Applications. Prentice-Hall, Upper Saddle River, NJ, USA; 1983.Google Scholar
- Goel M, Shanbhag NR: Low-power channel coding via dynamic reconfiguration. Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '99), 1999 1893-1896.Google Scholar
- Hong Y-W, Huang W-J, Chiu F-H, Kuo C-CJ: Cooperative communications in resource-constrained wireless networks. IEEE Signal Processing Magazine 2007, 24(3):47-57.View ArticleGoogle Scholar
- Laneman JN, Tse DNC, Wornell GW: Cooperative diversity in wireless networks: efficient protocols and outage behavior. IEEE Transactions on Information Theory 2004, 50(12):3062-3080. 10.1109/TIT.2004.838089MATHMathSciNetView ArticleGoogle Scholar
- Harris AF III, Zorzi M: Modeling the underwater acoustic channel in ns2. Proceedings of the 2nd International Conference on Performance Evaluation Methodologies and Tools (ValueTools '07), October 2007Google Scholar
- Phoha S, Porta TFL, Griffin C: Sensor Network Operations. Wiley-IEEE Press, New York, NY, USA; 2006.View ArticleGoogle Scholar
- Bin L, Garcin F, Ren F, Lin C: A study of forward error correction schemes for reliable transport in underwater sensor networks. Proceedings of the 5th Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks (SECON '08), 2008 197-205.Google Scholar
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