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The complexity measure depends highly on the length of the sequence. In order to eliminate this effect, a normalized complexity measure C is adopted instead: C= Cm(n) log (n) = Cm(n) 2 . b(n) n (16.17)

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In this section, we consider the utility of the ECG biometric to reduce the resource consumption and provide data security for a BSN, in a practical and exible manner.

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In the case of extreme storms, one could model storm events based on rst principles of meteorology Given this approach, the occurrence and magnitude of storm events are results of the modeling activity, and are not necessarily treated as random in time or space Uncertainty enters this approach to modeling extreme events in the statistical estimates of the parameters of the meteorological model and in model error This approach trades off the uncertainty due to natural variability for uncertainty due to limited knowledge Usually, an event tree analysis presumes stationarity for stochastic initiating events, but for events such as ood volumes or river stages the assumption may not be good Changing upstream conditions in land use, channelization, and other factors may cause ood frequencies or rating curves to gradually change with time This means that the probability distributions used to represent random variables, such as peak ood discharge, may change..

The single-point fuzzy key management, surveyed in Section 16.3.3.5, represents a signi cant improvement over conventional key distribution systems, such as those based on the Dif e Hellman scheme. However, it is still inef cient with respect to the communication rate: The length of the transmitted sequence needs to be at least as long as that of the required cryptographic key. Indeed, with the concatenation of the check code, its size is even longer. This represents an undesirable overhead, since communication transmissions consume the most energy in a BSN, compared to computational operations. Motivated by the inherent design limitation of the single-point fuzzy management, we seek a more exible and ef cient approach to manage the keys for all sensors. The basic idea is to send only the check-code, and not a modi ed version of the key itself over the channel. In a multipoint scheme, as its name suggests, all nodes would be responsible for generating the key from the obtained biometrics at various sensor points. The utility of this approach is that, unlike in a single-point scheme, a full XOR-ed version of the key no longer needs to be sent over the channel. Instead, only the check-code needs to be transmitted for veri cation.

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A high-level summary of the proposed multipoint scheme is depicted in Figure 1612 It should be noted that, compared to a single-point scheme, no new basic modules are required For instance, the error-correction modules and the hash function modules are already present in a single-point system Therefore, the innovation is in the design of the roles these blocks take at various points in the transmission protocol This is a deliberate choice, in order to ensure that our design would not overstep the resources available to a BSN, as established in previous studies for a single-point context In the following, the primed version of the signal (eg, r ), represents the receiver counterpart of the signal found in the transmitter IPI Extractor This front-end module represents an abstraction of the preprocessing, such as ltering and quantization, required to deliver a raw binary sequence of numbers.

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