In this paper, we consider remote reconstruction over wireless networks when simultaneous accuracy at the legitimate receiver and confidentiality against eavesdropping are required. These two objectives are often treated separately, even though they arise from the same update process and are marginals of a joint reconstruction event. This paper introduces confidential reconstruction accuracy (CRA), a metric to capture the joint event in which the legitimate receiver reconstructs correctly while the eavesdropper fails. Under randomized stationary policies, we develop a three-dimensional stationary analysis and derive closed-form expressions for the long-term average CRA and the optimal transmission probability. The results show that conventional marginal analysis can misidentify the optimal policy and misestimate the achievable simultaneous accuracy-confidentiality performance. They also reveal nontrivial behaviors: more frequent transmissions or better legitimate channels do not necessarily improve joint accurate and confidential reconstruction, and when the eavesdropping channel is strong, improving the legitimate channel alone may be insufficient. Finally, the framework induces the spatial safety boundary in a geofencing setting for secure remote reconstruction.

翻译：本文研究了无线网络中同时满足合法接收端准确性和防窃听保密性的远程重建问题。这两个目标通常被分开处理，尽管它们源于相同的更新过程，且是联合重建事件的两个边缘事件。本文引入机密重建准确率（CRA）这一度量标准，用以描述合法接收端正确重建而窃听者失败的联合事件。在随机平稳策略下，我们建立了三维平稳分析框架，推导了长期平均CRA和最优传输概率的闭式表达式。结果表明，传统的边缘分析可能错误识别最优策略，并错误估计可实现的联合准确性与保密性性能。同时揭示了非平凡行为：更频繁的传输或更优的合法信道并不一定能提升联合准确且保密的重建效果；当窃听信道较强时，仅改善合法信道可能不足以应对。最后，该框架在地理围栏场景中定义了空间安全边界，用于实现安全远程重建。