compute a value based on goegraphic range from measuement devices

Question

Today is one of those days when the correct method to calculate this escapes me. I have 3 fixed points on a map where measurement devices are located. These all track the same transmitters. A mobile unit operates somewhere between the measurement devices. This too tracks the transmitter. I have a modeled delay calculation for each of the fixed receivers. I want to form a delay value for the reported position of the mobile unit. I have delay values, exact coordinates, distance to the mobile unit at the time of last mobile reported position. Just trying to decide how to apply the values in some kind of weighted system to get an accurate value for the mobile position.

Answer 1

A kalman filter would definitely do the trick. Each of the measurements could be utilized in a sensor fusion method. Using a kalman filter for the data as a preprocess to the system state update is an option.

A number of implementations are published.