I've been working on a bit of a project in my spare time and I'm trying to detect the source of a signal. The project is a bit much to explain, but the math behind it I'm thinking might make it sound a little easier.
Basically, I have triangle of receivers that can all detect the angle of the source signal. This triangle has controlled positions for each of the points. It's an equilateral triangle all on a single plane.
When I receive a signal, I'm able to derive the angle it received it from, but not the direction. When paired with the other receivers, I can create three new triangles since I can do some triangle calculations for ASA.
My problem is connecting the triangles to form the pyramid they are in, so that I can get transmitter location. There's a few ways to look at this, ideally I'd be happy with a way to get XY positions and a height (even though the height will be plus or minus given all my sensors are on a single plane). If I can however get the figure out how to connect the triangles to form a triangular pyramid, then I'm thinking I should be able to get the pyramid height and likely start figuring out the XY distances.
I'm really stumped on how to go about this. I'm able to figure most things out if I'm given some direction but right now I'm not even sure where to look.
EDIT: my goal is to figure out where the source of my signal is. I have three sensors on a single plane forming an equilateral triangle. The transmission point will make it into a 3d, triangular pyramid. Each of my receivers can give me the angle they detected the source at, but only on angle. For example, corner A might say 60 degrees. but it doesn't give a direction. I think I said that poorly at first.
Knowing the fixed receiver positions, I can get the distances between them and do some triangle formulas. The one that came to mind was Angle-Side-Angle to get two of the edges of my triangular pyramid. then I can pick another pairing of my sensors and repeat to get the remaining edge. From there I suppose it's just calculating the height of my pyramid and an xy position for it.
I can visualize that it should all be possible, it's just a bit beyond me, though I do feel that I'm starting to work a bit closer by explaining it a bit more.