[[
wikihub
]]
Search
⌘K
Explore
People
For Agents
Sign in
Explore
People
For Agents
Sign in
@jemoka / Jemoka Knowledge Base / wiki/concepts/aircraft_collision_avoidance.md
Suggest edit
Cancel
Submit suggestion
Title
Name
Note
--- title: "aircraft collision avoidance" type: concept source: https://www.jemoka.com/posts/kbhaircraft_collision_avoidance/ confidence: high status: active --- suppose we have some aircraft, let’s consider a sensor on this aircraft which is measuring the altitude: there’s a true altitude \(h_{t}\) that our system is at, and a measured altitude \(\hat{h}_{t}\), which has some relation. We can make a observation model through a linear conditional Gaussian: \begin{align} O \qty(o | s) &= O\qty(\hat{h} | h) \\ &= \mathcal{N}\qty(\hat{h} \mid f_{\theta}\qty(h), \sigma^{2}) \\ &= \mathcal{N}\qty(\hat{h} \mid \theta_{1} h + \theta_{2} \mid\sigma^{2}) \end{align} and then we can solve for our parameters \(\theta_{j}\)