This paper introduces an indoor localization method using fixed reflector objects within the environment, leveraging a base station (BS) equipped with Angle of Arrival (AoA) and Time of Arrival (ToA) measurement capabilities. The localization process includes two phases. In the offline phase, we identify effective reflector points within a specific region using significantly fewer test points than typical methods. In the online phase, we solve a maximization problem to locate users based on BS measurements and offline phase information. We introduce the reflectivity parameter (\(n_r\)), which quantifies the typical number of first-order reflection paths from the transmitter to the receiver, demonstrating its impact on localization accuracy. The log-scale accuracy ratio (\(R_a\)) is defined as the logarithmic function of the localization area divided by the localization ambiguity area, serving as an accuracy indicator. We show that in scenarios where the Signal-to-Noise Ratio (SNR) approaches infinity, without a line of sight (LoS) link, \(R_a\) is upper-bounded by \(n_r \log_{2}\left(1 + \frac{\mathrm{Vol}(\mathcal{S}_A)}{\mathrm{Vol}(\mathcal{S}_{\epsilon}(\mathcal{M}_s))}\right)\). Here, \(\mathrm{Vol}(\mathcal{S}_A)\) and \(\mathrm{Vol}(\mathcal{S}_{\epsilon}(\mathcal{M}_s))\) represent the areas of the localization region and the area containing all reflector points with a probability of at least \(1 - \epsilon\), respectively.

翻译：本文提出一种利用环境中固定反射体进行室内定位的方法，该方法基于配备到达角与到达时间测量能力的基站。定位过程包含两个阶段。离线阶段，我们使用远少于典型方法的测试点来识别特定区域内的有效反射点。在线阶段，我们通过求解最大化问题，结合基站测量值与离线阶段信息实现用户定位。我们引入了反射率参数（\(n_r\)）来量化从发射端到接收端的一阶反射路径的典型数量，并论证了其对定位精度的影响。定义对数尺度精度比（\(R_a\)）为定位区域面积与定位模糊区域面积之比的对数函数，以此作为精度指标。我们证明，在信噪比趋近无穷大且不存在视距链路的场景下，\(R_a\)的上界为 \(n_r \log_{2}\left(1 + \frac{\mathrm{Vol}(\mathcal{S}_A)}{\mathrm{Vol}(\mathcal{S}_{\epsilon}(\mathcal{M}_s))}\right)\)。其中，\(\mathrm{Vol}(\mathcal{S}_A)\) 和 \(\mathrm{Vol}(\mathcal{S}_{\epsilon}(\mathcal{M}_s))\) 分别表示定位区域的面积以及包含所有反射点（概率至少为 \(1 - \epsilon\)）的区域面积。