- Open Access
Impact of the environment and the topology on the performance of hierarchical body area networks
© Dricot et al; licensee Springer. 2011
- Received: 29 October 2010
- Accepted: 7 October 2011
- Published: 7 October 2011
Personal area networks and, more specifically, body area networks (BANs) are key building blocks of future generation networks and of the Internet of Things as well. In this article, we present a novel analytical framework for network performance analysis of body sensor networks with hierarchical (tree) topologies. This framework takes into account the specificities of the on-body channel modeling and the impact of the surrounding environment. The obtained results clearly highlight the differences between indoor and outdoor scenarios, and provide several insights on BAN design and analysis. In particular, it will be shown that the BAN topology should be selected according to the foreseen medical application and the deployment environment.
- Sensor Node
- Medium Access Control
- Relay Node
- Medium Access Control Protocol
- Time Division Multiple Access
Recent advances in ultra-low power sensors have fostered the research in the field of body-centric networks, also referred to as body area networks (BANs) [1–4]. In these networks, a set of nodes (called sensors) is deployed on the human body. They aim at monitoring and reporting several physiological values, such as blood pressure, breath rate, skin temperature, or heart beating rate. Most of the time, sensing is performed at low rates but, in emergency situations, the network load may increase in seconds. Therefore, an in-depth analysis of the network outage, throughput, and achievable transmission rate can give insights on the maximum supported reporting rate and the corresponding performance.
In [5, 6], we have considered a preliminary link-level performance analysis of BANs with centralized topologies. In the current study, we extend this approach, integrating the propagation channel characteristics and the impact of the hierarchy in a general network-level performance analysis framework. All considered networks will have hierarchical topologies, i.e., the sensor nodes will not be directly connected to a central controller. The modeling of the BAN channel has recently been thoroughly investigated [7–11]. The main findings on the body radio propagation channel can be summarized as follows. First, the average value of the power decreases as an exponential function of the distance. However, unlike classical propagation models, where the received power is a decreasing function of the distance of the form d-α, the authors of [12, 13] show that a law of the form 10 γd (γ < 0) characterizes more accurately body radio propagation. Second, the propagation channel is subject to distinct propagations mechanisms with respect to the location of the sensors on the body. More precisely, on-body propagation and reflections from the environment act jointly to create a particular propagation mechanism that is specific to BANs.
This article addresses the development of a specific framework for the accurate evaluation of the impact of the body-specific propagation and network topology. Our results are derived by means of the link throughput analysis, this metric being a traditional measure of how much traffic can be delivered, per time unit, by the network [14, 15]. Therefore, our analysis is expedient to understand the level of information which could be collected and processed in body-related applications (e.g., health or fitness monitoring). Furthermore, since energy is critical in the design of autonomous BANs in the context of medical applications [16–18], an accurate evaluation of the impacts of the BAN topology and transmission rate on the energy consumption is of fundamental interest.
The slotted ALOHA multiple access scheme  was recently proposed by the IEEE 802.15.6 working group as one of the reference medium access control (MAC) schemes for the wireless body networks in the context of the narrowband communications . In particular, in each time slot, the nodes are assumed to transmit independently with a certain fixed probability . This approach is supported by the observations in [, p. 278] and [21, 23], where it is shown that the traffic generated by nodes using a slotted random access MAC protocol can be modeled by means of a Bernoulli distribution. In fact, in more sophisticated MAC schemes, the probability of transmission at a node can be modeled as a function of general parameters, such as queuing statistics, the queue-dropping rate, the channel outage probability incurred by fading , the adaptation of the sampling to rate to patient's condition , the MAC strategy used , etc. Since the impact of these parameters is not the focus of the this study, the interested reader is referred to the existing literature [27–29] for further details.
The principal contributions of this article can be summarized as follows. First, a comprehensive and detailed analytic framework for BAN performance evaluation is developed, obtaining closed-form expressions for the link probabilities of outage in the context of multi-user communications. This framework encompasses the effect of the environment, the topology, and the traffic intensity. Next, different topologies, corresponding to various medical applications, are characterized in terms of achievable throughput. Finally, the performance of each topology is discussed, and practical insights are given on how to instantiate a real-life BAN with respect to the application demands and propagation context. Furthermore, throughout this entire article the indoor and the outdoor environments are treated separately and properly compared.
The remainder of this article is organized as follows. In Section 2, the propagation mechanisms are introduced and characterized. In Section 3, the conditional success probability of a link transmission for a node, given the transmitter-receiver and interferer-receiver distances, is derived. In the same section, the minimum required transmit power, over a given link, in the absence of any interfering node is computed in both indoor and outdoor environments. Then, in Section 4, the tree topologies analyzed in this article are presented, and the traffic model is discussed. Finally, in Section 5, an extensive performance analysis, in terms of network throughput and energy consumption, is performed. Section 6 concludes this article.
In order to build an accurate model for the on-body propagation, a Rohde & Schwartz ZVA-24 vector network analyzer was employed to capture the complex-valued frequency-domain transfer functions between 3 and 7 GHz, with a frequency step of 50 MHz. Omnidirectional Skycross SMT-3T010M ultra-wide band antennas were used during the entire measurement campaign. Their small-size (13.6 mm × 16 mm × 3 mm) and low profile characteristics precisely match the body sensor requirements. These antennas were separated from the body skin by about 5 mm to ensure a return loss value S11 ≤ -9 dB. Finally, low-loss and phase-stable cables interconnect all components, and the IF-bandwidth was set to 100 Hz to enlarge the dynamic range to about 120 dB.
First, the diffraction mechanism is analyzed by gradually shifting the transmitter around the body. The spatial values of the power are extracted from seven different sites separated by 4 cm each. For each level, the transmitter is also shifted one level below and one level above, and the observed measures are averaged. Second, the impact of the reflections off the surrounding environment was investigated for five positions of the transmitter around the body. Repeated measures are taken by positioning the human body on a rectangular grid of 7 × 7 position, each separated by 4 cm. This procedure is performed for a set of 20 locations in a standard office room with a surface of about 20 m2.
The conclusions of this extensive measurement campaign, also highlighted in , can be summarized in three points. Firstly, there is propagation through the body. However, when high transmission frequencies are considered, the attenuation undergone by these waves is relevant and the corresponding contribution can be neglected.
A second mechanism corresponds to guided diffraction around the body. This mechanism is consistent with a surface wave propagation, and its properties depend on the body specific characteristics.
Finally, the last propagation contribution comes from the surrounding environment. More precisely, the third propagation mechanism originates from reflections off the body limbs (arms and legs) and the surrounding objects (walls, floor, and ceiling). Obviously, this mechanism is observed only in an indoor environment.
Based on an extensive measurement campaign, we now present accurate statistical models corresponding to the propagation mechanisms described above.
B. On-body propagation (guided diffraction)
where P(d) is the instantaneous received power (dimension: [W]) at distance d (dimension: [m]), P is the transmit power (dimension: [W]), dref is a reference distance (dimension: [m]), Lref is the gain at the reference distance (adimensional, in dB), and γ is a suitable constant (dimension: [m-1]). For instance, typical experimental values for these parameters are dref = 8 cm, Lref = -57.42 dB, and γ = -124 dB/m .
C. Reflections off the environment
D. A unified BAN propagation model
The combination of the two propagation mechanisms presented in Sections 2-B and 2-C allows to derive a unified propagation model for a generic BAN. It can be observed that the degree of importance of each mechanism depends on the distance between transmitter and receiver. More precisely, in close proximity, the dominant propagation mechanism is the on-body propagation described in Section 2-B. Above the cross-over distance dcross ≈ 25 cm, the contribution of the environment becomes dominant, and the second propagation mechanism, presented in Section 2-C, is the only relevant one.
Therefore, a unified propagation model can be characterized as follows:
in an outdoor environment, the average received power can be computed using (4) (i.e., ) and the instantaneous received power is determined by the log-normal fading channel model given by (5);
in an indoor environment,
if d ≤ dcross, the average received power can be computed using (4) (i.e., ) and the log-normal fading in (5) is used;
if d > dcross, the average received power is approximately constant (i.e., ) and the instantaneous received power, owing to a Rayleigh faded channel model, has the distribution given by (8).
In this article, we consider multi-user communications--in a BAN, all sensors need to transmit to a central controller and, in this sense, the scenario at hand can be interpreted as a multi-user scenario. The transmission over a link of interest is denoted with the subscript "0." Besides the intended transmitter, other nodes may be interfering. Depending on their distance to the receiver, the interfering nodes will be denoted differently. More precisely,
in an indoor scenario, the interferers located at distances shorter than dcross are referred to as "close-range interferers," their number is indicated as Nclose, and the generic node will be denoted with a subscript ;
in an indoor scenario, the interferers located at distances longer than dcross are referred to as "far-range interferers," their number is indicated as Nfar, and the generic node will be denoted with a subscript ;
in an outdoor scenario, the number of interferers is indicated as Nout, and the generic node will be denoted with a subscript .
Assuming slotted transmissions (i.e., t can assume multiples of the slot time), a simple random access scheme is such that, at each time slot, a node transmits with probability q [, p. 278]. Therefore, , , , , and , are sequences of Bernoulli RVs with , ∀t, i, j, k.
Finally, as typical in the context of BANs, we assume that all nodes use the same transmit power, i.e., P i (0) = P j (0) = P k (0) = P0(0), ∀i, j, k.
A. Link probability of success with short-range transmission in indoor scenarios
B. Link probability of success with long-range transmission in indoor scenarios
By inserting (21) and (22) into (20), one obtains the final expression (18) for the probability of successful transmission on the link.
C. Link probability of success in outdoor scenarios
In these scenarios, the links are subject to log-normal fading, and exponential power decreases. The link probability of success can simply be derived using the derivation in Section 3-A, setting Nout = Nclose and Nfar = 0 (this does not mean that there are not far interferers, but that their propagation model is simply the same of close interferers). Therefore, the computation of the link probability of success is straightforward from (17) and the final expression is given in (19).
D. Minimum transmit powers
where N0 has been expressed as Tkb, with T being the room temperature (dimension: [K]) and kb = 1.38 × 10-23 J/K being the Boltzman's constant, and B being the transmission bandwidth.
On the basis of the results presented in Figures 6 and 7, the following observations can be made. The value of plays a limited role on the minimum transmit power. If the transmit power is constrained by energy concerns, then only short-range communications (some tenths of centimeters) will be possible: therefore, a multi-hop network architecture is to be preferred. Finally, in an indoor environment, as seen from Figure 6, the reflections from the surrounding environment make the minimum transmit power become constant when d ≥ 25 cm.
In the remainder of this study, we will consider only interference-limited BANs, i.e., scenarios where condition (23) is satisfied. Formally, this is equivalent to assuming that N0 B ≪ Pint.
A. BAN tree topologies
In , a preliminary performance analysis of BANs with star topologies was carried out. Indeed, these topologies are well suited for medical applications since they exhibit low-power consumption  and can perform application-specific data aggregation [37–39]. However, in order to limit the transmit power, the use of tree (hierarchical) BAN topologies is appealing.
B. Medical applications of the tree topologies
The three topologies shown in Figure 9 are generic and suitable for a range of medical applications [40, 41]. More precisely, "Configuration A" refers to a multi-sensor site where highly dense clusters of nodes are deployed. This is representative of medical scenarios where intense monitoring, in a few areas of interest, is needed. Relevant medical applications are mobile EEG (ElectroEncephaloGraphy) or post-operative monitoring of localized critical health conditions.
The second configuration ("Configuration B") is more balanced and corresponds to multiple monitoring sites distributed over the body. Two typical BAN scenarios are encompassed: (i) redundant acquisitions of local physiological signals (for safety reasons) and (ii) multiple independent sensing devices, each having its own relay node (i.e., ECG (ElectroCardioGraphy) combined with limbs monitoring and motion sensors). Relevant medical applications include stroke or Parkinson's disease monitoring (through a combination of EEG, accelerometers, and a gyroscope), and cardiac arrest or ischaemic heart disease monitoring (through a combination of an ECG and a mechanoreceptor).
The third configuration ("Configuration C") is representative of a generic sensing scheme where multiple sensors are networked and distributed all over the body without local clustering. In this sense, it is representative of a star topology, as each intermediate relay is connected to a single sensing unit. A relevant medical application is given by a wearable vest with multiple sensors across it (each node may measure local blood pressure, collect electrical signals for ECG, and measure local accelerations).
C. Multi-hop traffic model
In this study, we consider a slotted communication model, where Tslot (dimension: [s]) denotes the duration of each slot. It is important to distinguish between data generation and data transmissions at the sensors. Data generation, in real applications, depends on the quantity to be measured; data transmission depends on the communication system design. We now show clearly that generation and transmission cross-influence each other.
In other words, the above inequality shows clearly that the communication/networking technology has an impact on the features of the (medical) sensors. We remark that a careful analysis of the transmission probabilities of the (medical) sensors will more likely lead to different values of λ (and q) for each node, depending on the type of physiological constant and the congestion at the relays, among others. This analysis goes beyond the scope of this article and is the subject of future research. However, whatever the used sensors, it is possible to derive the equivalent value of λ and, therefore, rely on the proposed framework.
In fact, the condition λ > q would be equivalent to assuming that the sensor generates, per time unit, more packets than those it can actually transmit. In this case, there would be an overflow at the sensor, and packets would be lost. On the other hand, assuming λ < q is meaningless as well, it is impossible that the transmission probability of a sensor node is higher than its generation probability (what would it transmit?). Therefore, in the considered simplified model, it follows that λ = q, i.e., the generation and transmission processes coincide. Note also that, according to this model, q is equal to the per-node load (defined as the average number of packets generated during an interval equal to the duration of a packet transmission). Therefore, the network load G (adimensional) is simply equal to q · Ntot, where Ntot denotes the total number of sensor nodes in the BAN.
where can be either (17) or (19), in indoor or outdoor scenarios, respectively.
Finally, in multiple-tier topologies (more complex than the 3-tier considered in this article), the same approach can be applied to compute the probability of transmission of any node acting as a relay at a given hierarchical level of the network. In the considered 3-tier topologies, this approach can be straightforwardly applied to evaluate qsink, i.e., the probability of transmission from the sink (e.g., through a 3G connection).
The main simulation parameters are set as follows. With reference to the topologies in Figure 9, the distances between a leaf and its relay and between a relay and the sink are 10 and 30 cm, respectively. The SINR threshold is set to θ = 5 dB. The fading power of the lognormal propagation model is σdB = 8 dB. These values correspond to typical, multi-kpbs sensor nodes.
A. Performance metrics
In the following, we will consider two key performance metrics: (i) the link-level throughput, and (ii) the energy consumption rate.
where is either equal to , , or depending on the scenario at hand. The probabilistic link throughput  (adimensional) of a node is defined as follows:
in the full-duplex communication case, it corresponds to the product of (i) and (ii) the probability that the transmitter actually transmits (i.e., q);
in the half-duplex communication case, it corresponds to the product of (i) , (ii) the probability that the transmitter actually transmits (i.e., q), and (iii) the probability that the receiver actually receives (i.e., 1 - q).
since it is supposed that the sink acts as a special device and can communicate with the external equipments with probability equal to one (e.g., it is used to store data on a memory card or to send these data by means of a reliable transmission technology, such as, for example, 3G).
where ETX and ERX are the energies (dimension: [J]) consumed by single-packet transmission and reception acts, respectively.
where is denoted as energy depletion rate (adimensional) and corresponds to the ratio of the energy consumed by the network in a slot and the energy consumed to transmit a single packet.
We now provide the reader with a performance analysis of all the three hierarchical topologies deployed in outdoor and indoor scenarios.
B. Outdoor Scenarios
In the Configuration A (Figure 9a) the throughputs of the leaves, relays, and sink are increasing functions of q for small values of q and reach the maximum values at q ≃ 0.15. For q > 0.15, τleaf starts decreasing. In contrast, τrelay remains approximately constant for q ∈ (0.15, 0.45): in fact, the packets' losses at the leaves' are compensated by data transmitted by the relay node itself, so that the overall value of τrelay tends to remain stable. It can also be observed that the throughput at the sink remains approximately constant for q ∈ (0.15, 0.45), and its value is close to the maximum achievable throughput of any slotted ALOHA system without lossy links, which is e-1 ≈ 0.37 . Since the throughput at the sink can be interpreted as the overall network throughput, it can be concluded that the network Configuration A yields an excellent channel utilization at the sink node. Regarding the operational region of this configuration, it can be seen from Figure 11a that for q ≥ 0.6 one has τleaf ≃ 0, i.e., the load is too high, and the leaves tend to be disconnected from the network, i.e., packets from the leaves are no longer relayed and successfully transmitted to the sink. Consequently, for q ≥ 0.6, the throughputs at the relays and at the sink tend to decrease.
The performance with the second topology--referred to as Configuration B (Figure 9b)--is analyzed in Figure 11b. It can be observed that the throughput at the relays is, for small values of q, an increasing function of q and reaches a maximum value at q ≈ 0.1. Beyond this value, the throughput at the relays tend to rapidly decrease. On the other hand, τleaf is an increasing function till q ≈ 0.3: this is because the number of sensors per cluster (3) is smaller than the number of relays (4) and, therefore, the throughput at the leaves continues to increase even if the throughput at the relays starts decreasing. Unlike Configuration A, in Configuration B, the maximum throughput at the leaves is higher than the maximum throughput at the relays. As the number of relays is relatively large, they tend to interfere with each other and, therefore, the throughput of the sink reaches a maximum at q ≈ 0.1 and, then, decreases. It can be observed that the maximum throughput at the sink with Configuration B is approximately equal to that of Configuration A. However, unlike Configuration A, in Configuration B, there is no interval of q where the throughput at the sink tends to remain constant. In other words, this configuration does not support, at network level, a larger interval of values of q.
The last scheme--denoted as Configuration C (Figure 9c)--is highly centralized. Its performance is investigated in Figure 11c. As each cluster contains only one leaf node, τleaf is the highest. On the other hand, the relays interfere with each other while communicating to the sink and, therefore, τrelay remains very low (its maximum value is around 0.05). As a consequence, τsink, after reaching its maximum value for q ≈ 0.08 (similarly the previous configuration), tends to decrease to zero much faster than in Configuration B. Note that the maximum value of the throughput at the leaves is close to the maximum value of the throughput at the sink. Finally, note that for q ≥ 0.5, even if τleaf is high, τsink is basically zero: in other words, no data transmitted by the leaves can be successfully transmitted by the sink to an external controller (e.g., through 3G communications).
C. Throughput in indoor scenarios
Regarding Configuration A, it is seen from Figure 12a that the leaves can support a wide range of values of q (i.e., the throughput is non-zero for any value q ∈ (0, 0.6)). As anticipated in the description of the results in outdoor scenarios, the relays effectively accumulate the leaves' and their own data, guaranteeing the highest throughput almost for all values of q--for very low values of q, τrelay < τsink. However, the last links (i.e., the relay-to-sink links) are subject to strong interference because of the reflections off the surrounding environment, and the sink throughput is much lower than in the outdoor scenario. More precisely, the throughput reaches a maximum at q ≈ 0.05 and becomes insignificant for q ≥ 0.3.
The performance of Configuration B is presented in Figure 12b. Since the tree is more balanced than in Configuration A (i.e., there are less leaves and more relays), the performance observed at the leaves is better in terms of throughput. However, the increase of the amount of relay nodes and the fact that these are more subject to environment interference (since these are considered as long links) make the throughput decrease significantly. Finally the throughput at the sink remains limited, compared to the outdoor scenario, for the reasons described previously in analysis of the Configuration A.
The third configuration--namely, Configuration C--is shown in Figure 12c. In this configuration, the throughput at the leaves is significant. This could have been expected by taking into account the facts that (i) the links are shorts and, therefore, nearly not subject to interference; and (ii) the amount of concurrent transmissions remains limited. Since there are numerous relay nodes, the throughput at the relays is very low, because of the presence of multiple access collisions. Furthermore, the reflections off the environment reduce drastically the throughput at the sink when the relay probability of transmission increases. It can be observed that the value of τsink rapidly reaches a maximum for q ≈ 0.05, before decreasing rapidly for increasing values of the parameter q.
D. Energy depletion rate
E. An illustrative comparison with TDMA-based architectures
In this article, we refer to the IEEE 802.15.6 standard and the slotted ALOHA MAC. Owing to its random access strategy, this MAC protocol could be of less interest if the traffic is high. In that case, a centralized, time division multiple access (TDMA) access might be more interesting and appealing. In this subsection, we provide the reader with an illustrative comparison between the slotted ALOHA and TDMA schemes, focusing on the delay exhibited by both strategies--in fact, the throughput of a TDMA scheme is equal to 1.
where the link probability of success P s depends on the scenario (i.e., outdoor or indoor, position of the nodes, etc.) and is given by relations (17), (18), and (19). Finally, the delay, expressed in number of time slots, is .
To summarize, as a TDMA-based scheme has a throughput τ = 1, it becomes very attractive for values of q beyond the maximum of the considered slotted ALOHA system, as the latter becomes unstable, i.e., the value of the delay DALOHA → ∞ since P s → 0. In scenarios with low reporting rate, the slotted ALOHA scheme is to be preferred.
In this article, we have presented an analytic framework for the evaluation of the link probability of success in interference-limited BANs subject to fading. This analytic derivation is based on novel experimental measurements which highlight two characteristic propagation mechanisms in BANs deployed in indoor scenarios: on-body propagation, and propagation through reflections from the environment.
Regarding the impact of the topology, three configurations have been analyzed. These analyses showed significantly different performances, in terms of per-node throughput and energy consumption rate. It can be concluded that a decentralized topology in an outdoor environment presents the best tradeoff between the throughputs at the leaves, the relays, and the sink. Moreover, the shape of the throughput curves shows that it is very stable, i.e., any increase or decrease of the node generation rate does not significantly impact the per-node throughput, and it is the most efficient in terms of energy consumption rate. In an indoor environment, the balanced tree seems to be more suitable. Indeed, it presents a higher throughput for the sink, the relays, and the leaves at the same time.
In conclusion, multi-user BANs deployment and operation should take into account the specificities of environment and adapt the routing algorithms and clustering strategies accordingly. In the particular context of an indoor environment or when the traffic load is high, narrowband-shared spectrum techniques are not performant, and other MAC schemes, such as TDMA should be considered instead, even if they are more complex to implement.
Coefficients for the approximation of the ζ function
σ = 4
4.68 × 10-5
σ = 6
4.23 × 10-6
σ = 8
1.04 × 10-4
σ = 10
7.53 × 10-4
σ = 12
3.52 × 10-3
σ = 14
1.03 × 10-2
σ = 16
1.67 × 10-2
aNote that, even though (3) holds for d ≥ dref, L0 can be intuitively interpreted as the (extrapolated) gain (adimensional, linear scale) at distance d = 0. In other words, L0 takes into account the loss due to antenna emission.
bNote that we use the log10 variant of the log-normal, since the widely used shadowing model uses an additive Gaussian variation expressed in dB.
cNote also that, with a slight abuse of notation, in (23) and (24), we indicate by ζ-1(·) the inverse of ζ(z; σ) with respect to ζ, with the implicit assumption that σ is fixed.
dWe assume that packet generation is at the beginning of a slot.
eNote that this expression does not depend on q, as in TDMA systems, a leaf needs to wait for its assigned time slot.
This study is supported by the Belgian National Fund for Scientific Research (FRS-FNRS grants and FRIA grants).
- Xing J, Zhu Y: A survey on body area network. In Proceedings of the 5th International Conference on Wireless Communications, Networking and Mobile Computing (WiCOM'09). Beijing, China; 2009.Google Scholar
- Monton E, Hernandez J, Blasco J, Herve T, Micallef J, Grech I, Brincat A, Traver V: Body area network for wireless patient monitoring. IET Commun 2008, 2(2):215-222. 10.1049/iet-com:20070046View ArticleGoogle Scholar
- Kailas A, Ingram MA: Wireless communications technology in telehealth systems. In Proceedings of the IEEE Wireless VITAE Conference. Aalborg, Denmark; 2009.Google Scholar
- Bhatia D, Estevez L, Rao S: Energy efficient contextual sensing for elderly care. In Proceedings of the 29th International Conference of the Engineering in Medicine and Biology Society (EMBS 2007). Lyon, France; 2007.Google Scholar
- Dricot J-M, Van Roy S, Ferrari G, Horlin F, De Doncker P: Link-level performance of indoor body area networks with centralized topologies. Open Electr Electron Eng J 2011, 5: 9-18. 10.2174/1874129001105010009View ArticleGoogle Scholar
- Dricot J-M, Ferrari G, Van Roy S, Horlin F, De Doncker Ph: On the link layer performance of narrowband body area networks. In Proceedings of the Second International Conference on Emerging Network Intelligence (EMERGING 2010). Florence, Italy; 2010.Google Scholar
- Reusens E, Joseph W, Vermeeren G, Martens L: On-body measurements and characterization of wireless communication channel for arm and torso of human. In Proceedings of the 4th International Workshop on Wearable and Implantable Body Sensor Networks (BSN 2007). Aachen, Germany; 2007.Google Scholar
- Choi JM, Kang H-J, Choi Y-S: A study on the wireless body area network applications and channel models. In Proceedings of the 2008 Second International Conference on Future Generation Communication and Networking (FGCN '08). Hainan Island, China; 2008.Google Scholar
- Katayama N, Takizawa K, Aoyagi T, Takada J-I, Li H-B, Kohno R: Channel model on various frequency bands for wearable body area network. IEICE Trans Commun 2009, E92.B(2):418-424. 10.1587/transcom.E92.B.418View ArticleGoogle Scholar
- Fort A, Desset C, De Doncker P, Wambacq P, Van Biesen L: An ultra-wideband body area propagation channel model-from statistics to implementation. IEEE Trans Microwave Theory Techn 2006, 54(4):1820-1826.View ArticleGoogle Scholar
- Sawada H, Takada J, Choi S, Yazdandoost K, Kohno R: Review of body area network channel model. In Proceedings of the IEICE General Conference. Meijo, Japan; 2007.Google Scholar
- Ryckaert J, Doncker PD, Meys R, de Le Hoye A, Donnay S: Channel model for wireless communication around human body. Electron Lett 2004, 40(9):543-544. 10.1049/el:20040386View ArticleGoogle Scholar
- van Roy S, Oestges C, Horlin F, De Doncker P: A comprehensive channel model for UWB multisensor multiantenna body area networks. IEEE Trans Antennas Propagation 2010, 58(1):163-170.View ArticleGoogle Scholar
- Gupta P, Kumar PR: The capacity of wireless networks. IEEE Trans Inf Theory 2000, 46(2):388-404. 10.1109/18.825799MATHMathSciNetView ArticleGoogle Scholar
- Liu X, Haenggi M: Throughput analysis of fading sensor networks with regular and random topologies. EURASIP J Wireless Commun Networks 2005, 2005(4):554-564.MATHGoogle Scholar
- Guo C, Prasad RV, Jacobsson M: Packet forwarding with minimum energy consumption in body area sensor networks. In Proceedings of the 7th IEEE Conference on Consumer Communications and Networking Conference (CCNC'10). Las Vegas, USA; 2010.Google Scholar
- Yan L, Zhong L, Jha NK: Energy comparison and optimization of wireless body-area network technologies. In Proceedings of the ICST 2nd International Conference on Body Area Networks (BodyNets '07). Florence, Italy; 2007.Google Scholar
- Singh D, Lee H-J, Chung W-Y: An energy consumption technique for global healthcare monitoring applications. In Proceedings of the 2nd International Conference on Interaction Sciences (ICIS '09). Seoul, Korea; 2009.Google Scholar
- Abramson N: The ALOHA system--another alternative for computer communications. In Proceedings Fall Joint Computer Conference, AFIPS Conference. Houston, USA; 1970.Google Scholar
- Ullah S, Higgins H, Islam SMR, Khan P, Kwak KS: On phy and mac performance in body sensor networks. EURASIP J Wireless Commun Networks 2009, 2009: 1-7.Google Scholar
- Tobagi F: Analysis of a two-hop centralized packet radio network--part I: slotted ALOHA. IEEE Trans Commun 1980, 28(2):196-207. 10.1109/TCOM.1980.1094637View ArticleGoogle Scholar
- Bertsekas D, Gallager R: Data Networks. 2nd edition. Prentice-Hall, Inc., Upper Saddle River; 1992.MATHGoogle Scholar
- Nelson R, Kleinrock L: The spatial capacity of a slotted ALOHA multihop packet radio network with capture. IEEE Trans Commun 1984, 32(6):684-694.View ArticleGoogle Scholar
- Wu H, Pan Y: Medium Access Control in Wireless Networks. Nova Science Pub Inc., Hauppauge; 2008.Google Scholar
- Jain A, Chang E: Adaptive sampling for sensor networks. In Proceedings of the 1st International Workshop on Data Management for Sensor Networks. Toronto, Canada; 2004.Google Scholar
- Stoa S, Balasingham I: A decentralized mac layer protocol with periodic channel access for biomedical sensor networks. In First International Symposium on Applied Sciences in Biomedical and Communication technologies (ISABEL 2008). Aalborg, Denmark; 2008.Google Scholar
- Kwon Y, Fang Y, Latchman H: Performance analysis for a new medium access control protocol in wireless LANs. Wireless Networks 2004, 10(5):519-529.View ArticleGoogle Scholar
- Weinmiller J, Schlager M, Festag A, Wolisz A: Performance study of access control in wireless lans--IEEE 802.11 DFWMAC and ETSI RES 10 Hiperlan. Mobile Networks Appl 1997, 2(1):55-67. 10.1023/A:1013255927445View ArticleGoogle Scholar
- Hsieh H, Sivakumar R: IEEE 802.11 over multi-hop wireless networks: problems and new perspectives. In Proceedings of the IEEE Vehicular Technology Conference, 2002. Vancouver, Canada; 2002.Google Scholar
- Brigham EO: The Fast Fourier Transform and its Applications. Prentice-Hall, Englewood Cliffs; 1988.Google Scholar
- van Roy S, Oestges C, Horlin F, De Doncker P: Propagation modeling for UWB body area networks: power decay and multi-sensor correlations. In Proceedings of the 10th IEEE International Symposium on Spread Spectrum Techniques and Application. Bologna, Italy; 2008.Google Scholar
- Takada J ichi, Aoyagi T, Takizawa K, Katayama N, Sawada H, Kobayashi T, Yazdandoost KY, bang Li H, Kohno R: Static propagation and channel models in body area. COST 2100 6th Management Committee Meeting, TD(08)639 2008.Google Scholar
- Goldsmith A: Wireless Communications. Cambridge University Press, New York; 2005.View ArticleGoogle Scholar
- Bertsekas D, Gallager R: Data Networks. Prentice-Hall, Englewood Cliffs; 1991.Google Scholar
- Dricot J-M, Ferrari G, van Roy S, Horlin F, De Doncker P: Outage, local throughput, and achievable transmission rate of body area networks. In Proceedings of the COST 2100 Meeting, no. TD(09) 939. Vienna, Austria; 2009.Google Scholar
- Jones CE, Sivalingam KM, Agrawal P, Chen JC: A survey of energy efficient network protocols for wireless networks. Wireless Networks 2001, 7(4):343-358. 10.1023/A:1016627727877MATHView ArticleGoogle Scholar
- Le Borgne Y-A, Dricot J-M, Bontempi G: Principal component aggregation for energy efficient information extraction in wireless sensor networks. In Knowledge Discovery from Sensor Data. Taylor and Francis, CRC Press, London, Boca Raton; 2007.Google Scholar
- Petrovic D, Shah R, Ramchandran K, Rabaey J: Data funneling: routing with aggregation and compression for wireless sensor networks. In Proceedings of the 2003 IEEE International Workshop on Sensor Network Protocols and Applications. Anchorage, USA; 2003.Google Scholar
- Madden S, Franklin M, Hellerstein J, Hong W: TAG: a Tiny AGgregation Service for Ad-Hoc Sensor Networks. In Proceedings of the 5th ACM Symposium on Operating System Design and Implementation (OSDI). Boston, USA; 2002.Google Scholar
- Jovanov E, Poon CCY, Yang G-Z, Zhang YT: Body sensor networks: from theory to emerging applications. Trans Inf Tech Biomed 2009, 13: 859-863.View ArticleGoogle Scholar
- Yang G-Z: Body Sensor Networks. Springer-Verlag New York, Inc., Secaucus; 2006.View ArticleGoogle Scholar
- Liu X, Haenggi M: Throughput analysis of random and regular networks. EURASIP J Wireless Commun Networking 2005, 4: 554-564.Google Scholar
- Ahmed S, Alam MS: Performance evaluation of important ad hoc network protocols. EURASIP J Wireless Commun Networking 2006, 2006: 11. Article ID 78 645View ArticleGoogle Scholar
- Kleinrock L, Tobagi FA: Carrier sense multiple-access modes and their throughput-delay characteristics. IEEE Trans Commun 1983, 23: 1400-1416.View ArticleGoogle Scholar
- de Prony BG: Essai expérimental et analytique sur les lois de la dilatabilité des fluides élastique et sur celles de la force expansive de la vapeur de l'eau et de la vapeur de l'alkool, à différentes températures. J l'École Polytechnique 1795, 1(2):24-76.Google Scholar
- Lether FG: Elementary approximation for erf(x). J Quant Spectrosc Radiat Transfer 1993, 49(5):573-577. 10.1016/0022-4073(93)90068-SView ArticleGoogle Scholar
- Levenberg K: A method for the solution of certain non-linear problems in least squares. Quart Appl Math 1944, 2: 164-168.MATHMathSciNetGoogle Scholar
- Marquardt D: An algorithm for least-squares estimation of nonlinear parameters. SIAM J Appl Math 1963, 11: 431-441. 10.1137/0111030MATHMathSciNetView ArticleGoogle Scholar
This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.