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In other words, in the SINR model, a node correctly receives a transmission if the received signal power which depends on the sending power and the distance between sender and receiver is large enough compared to the signal power of concurrent (interfering) transmissions and the ambient noise level. Sometimes a variation of this SINR model is used in literature. It has an additional requirement: For a successful reception, the received signal power must exceed a minimal threshold , that is, Pr . In many situations, such a threshold can also be incorporated implicitly by the ambient noise power level N. Moreover, researchers have also studied a probabilistic SINR model [14], where the gain of an antenna is described by a Gaussian distribution independently of the distance! Apart from the interference term, and if all nodes send with the same transmission power level, the connectivity model of SINR is exactly the UDG, with path-loss exponent and minimum ratio such that the maximum distance for receiving a signal is 1. Hence, the SINR model can be extended similarly to the UDG model. Now, observe that the SINR model does not specify the signal power Ps used by a sender vs to transmit data to the receiver vr . Three models are common: Model 4.3.2 (Power Control). CONST: All nodes use the same constant transmission power. DIST: The power level depends on the distance d between sender and receiver. Concretely, the transmission power is given by c d for some 2 and some constant c > 0. GEN: A general (or arbitrary) power level is assumed at the

An important rule to improve the serviceability of your plug-ins is a bit of a paradox:

free space, roughly equals 2. In the so-called two-ray ground model, it is assumed that there are two paths of the electromagnetic wave: a direct one and a ground re ected signal path; to describe this situation, = 4 is used. Finally, note that ever since Marconi s rst experiments, time has been devoted to explain radio propagation phenomena, and there is a plethora of other proposals. For example, for small urban cells, a photon propagation model has been suggested implying an exponentially growing path loss.

If you have an open source plug-in, the community will collectively provide first level service If you provide the necessary information in log entries and error dialogs, most problems will be solved before you ever see them If you know problems can be traced directly to your plug-in, you will be careful to write robust code The test-driven techniques introduced in the Interlude can go far towards eliminating problems at the source if applied carefully

Figure 4.5. Sample network with heterogeneous transmission ranges. For instance, the node on the far left saves energy and reduces interference by using only a small power level.

n=351. Source: Diversified Investment Advisors, Report on Retirement Plans 2005 (New York: Diversified Investment Advisors, 2005), 18.

sender, which may change over time Figure 45 depicts a network where each node has a different power level Although the SINR model incorporates many important physical properties, it has not received an appropriate amount of attention from the algorithms community [12] This can be partially explained by the fact that the SINR model is complicated For instance, a lot of far-away transmissions sum up, and may interfere with a close-by sender-receiver pair In practice, however, these far-away transmissions often only contribute to the ambient noise and need not be counted individually Twiddling the knobs of the model a bit more, we might not sum up all interfering transmissions, but simply look at the worst or, in the case of a CONST model; closest disturbance: A node receives a transmission if and only if the closest simultaneously transmitting node is far enough Model 433 (Interfering Transmissions).

[ Team LiB ]

SUM: All interfering transmissions are taken into account ONE: Only the worst (or closest) interfering transmission matters NULL: Pure connectivity models which do not consider interference aspects (cf Section 42) ONE models are quite popular because of their simplicity The UDI an interference-aware version of the UDG is a prominent example (cf Model 434) Observe that, because of the constant transmission power, the power control type of UDI is CONST Figure 46 shows an example Model 434 (UDG with Distance Interference (UDI)) Nodes are situated arbitrarily in the plane Two nodes can communicate directly if and only if their Euclidean distance is at most 1, and if the receiver is not disturbed by a third node with Euclidean distance less or equal a constant R 1.

[ Team LiB ]

Often the constant R of the UDI model is approximated in such a way that interference can be reduced to a parameter of the UDG For instance, some MAC.

(continued)

does not recognize the event Thus, ESRT adjusts the transmission rate of each node in such a way that the desired threshold is achieved and the event is reliably detected 123 Management Functions In the following, we present some high-level management functions that can be used by different monitoring applications in a WSN We start by presenting a management architecture, followed by a discussion of data storage, network health, coverage and exposure, and security Architecture A WSN management architecture can be used to reason about the different dimensions present in the sensor network In this direction, the MANNA architecture [44] was proposed to provide a management solution to different WSN applications It provides a separation between both sets of functionalities (ie, application and management), making integration of organizational, administrative, and maintenance activities possible for this kind of network.