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Wireless Sensor and Actuator Networks for Lighting Energy ...

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Figure 5-1 Mechanism <strong>for</strong> adaptive sampling [93].<br />

5.2 Algorithm <strong>and</strong> Mathematical Detail<br />

The algorithm developed follows the idea in [93] <strong>and</strong> [94] with a better choice<br />

of predictive model <strong>and</strong> adaptive rules. The architecture of the algorithm is shown in<br />

Figure 5-2. In each iteration, be<strong>for</strong>e a sensor reading becomes available the predictive<br />

model generates a one-step prediction of the incoming sensor reading yk ˆ( ), which is<br />

compared to the actual sensor reading y(k) to calculate the prediction error e(k) as in<br />

(5.1). The parameter of the predictive model is updated according to e(k) <strong>for</strong> predicting<br />

the next incoming sensor reading yk+ ˆ( 1) . Meanwhile, the prediction error serves as an<br />

index of how fast the environment is changing so that the fuzzy sensing rate adaptor can<br />

adjust the sensing rate to ensure the resolution of the sensed in<strong>for</strong>mation.<br />

e(k) = y(k) ŷ(k) (5.1)<br />

Figure 5-2 Architecture of adaptive sensing rate algorithm.<br />

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