论文标题
多种偏移多材料：具有非同步参考节点的传感器网络校准的新范式
Multiple Offsets Multilateration: a new paradigm for sensor network calibration with unsynchronized reference nodes
论文作者
论文摘要
使用波信号测量的定位用于多种应用，例如GPS系统，来自声音和基于WiFi的定位的结构。从数学上讲，此类问题需要计算接收器和/或发射器的位置，以及如果设备不同步，则需要计算时间偏移。在本文中，我们通过引入多个偏移多种材料（MOM），这是一个新的数学框架来扩展有关定位公式的先前最新设备，这是一个新的数学框架，可通过来自已知位置的非同步参考发射器的伪内的伪内来计算接收器位置。这可以在几种情况下应用，例如从声音和用狮子座卫星定位的结构。我们在数学上描述了MOM，确定网络需要多少接收器和发射器，可以解决网络，并提出了有关可能不同解决方案数量的研究，并基于同型延续得出了稳定的求解器。对于合成和真实音频数据，求解器对噪声均具有效率和稳健性。
Positioning using wave signal measurements is used in several applications, such as GPS systems, structure from sound and Wifi based positioning. Mathematically, such problems require the computation of the positions of receivers and/or transmitters as well as time offsets if the devices are unsynchronized. In this paper, we expand the previous state-of-the-art on positioning formulations by introducing Multiple Offsets Multilateration (MOM), a new mathematical framework to compute the receivers positions with pseudoranges from unsynchronized reference transmitters at known positions. This could be applied in several scenarios, for example structure from sound and positioning with LEO satellites. We mathematically describe MOM, determining how many receivers and transmitters are needed for the network to be solvable, a study on the number of possible distinct solutions is presented and stable solvers based on homotopy continuation are derived. The solvers are shown to be efficient and robust to noise both for synthetic and real audio data.
