Sensor Networks with IEEE 802.15.4 Systems by Chiara Buratti Marco Martalò Roberto Verdone & Gianluigi Ferrari

Author:Chiara Buratti, Marco Martalò, Roberto Verdone & Gianluigi Ferrari
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

where

3.2.2 Simplified Fusion Rule

3.2.2.1 Binary Quantization

In order to extend the reduced-complexity fusion algorithm introduced in Sect. 3.1.3.1 for a scenario with ideal communication links to a scenario with BSCs, the objective function in (3.11) must be properly modified. In particular, the following expression for the objective function can be derived:

(3.15)

As one can see, the only difference between (3.11) and (3.15) lies in the term Since it follows that the term is always positive. Therefore, this term does not influence the monotonic behavior of the sum at the right-hand side of (3.15) and can be neglected without changing the behavior of Finally, the conditional probabilities in (3.12) can be extended to a scenario with BSC communication links as follows:

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