無線感測網路已被應用在許多方面, 像是戰地偵查和智慧家庭系統。由於無線感測網路中的感測器通常佈署於開放空間, 所以面臨許多安全上的疑慮, 例如竊聽、數據偽造, 阻斷式服務攻擊。因此在隨機場重建中, 如何佈建感測節點且同時滿足一定的安全等級以達到更好的效能, 是一個重要的議題。本論文探討如何設計一個使竊聽者無法接收感測器傳送值的安全區域, 更具體地, 設計出最佳安全區域的準則, 能夠讓融合中心與竊聽者在隨機場重建中有最大估測均方差差值。論文中也探討最佳安全區域與感測器數量、安全區域大小和改變隨機場的信號特徵間相互的關係。

Wireless sensor networks (WSNs) have been deployed for many applications, such as battlefield monitoring and smart home systems. Since the sensor nodes in a WSN are usually deployed in open areas, we then face several security concerns, e.g., eavesdropping, forgery of sensor data, and denial-of-service attacks. As a result, how to deploy sensor nodes to achieve a better performance of random field reconstruction and, in the mean while, satisfy a certain security level is a critical problem. This thesis then considers the problem of designing a secure region where the eavesdroppers cannot listen the data sent from sensor nodes. Specifically, we design the optimal secure region in accordance with the criterion that the fusion center and eavesdropper have the largest difference in the mean square error of the field reconstruction. In
the thesis, we also investigate the relation of the resulted optimal secure region and the number of sensors, the size of the secure region, and the various signal characteristics of the random field.

摘要i
Abstract ii
1 序論1
1.1 研究動機1
1.2 高斯隨機場重建問題2
1.3 文獻回顧: 防止竊聽的技術2
1.4 研究方法3
1.5 論文架構3
2 系統模型4
2.1 融合中心的系統4
2.2 竊聽者的系統6
3 最佳安全區域設計9
3.1 演算法設計以搜尋最佳的安全區域9
4 模擬範例12
4.1 範例一12
4.1.1 安全區域的設置12
4.1.2 結果和分析16
4.2 範例二24
4.3 範例三25
4.3.1 探討感測器數量的效應25
4.4 模擬結果27
5 結論29
參考文獻29

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