I am new to signal processing, but I have background in mathematics. I am trying to use Bluetooth Low Energy (BLE) on three mobile devices, where one device is being tracked and the other two act as antennas. I would like to compute the angle of arrival to compute the position of the device.
To do this, I have found the MUSIC algorithm, which (if I understand correctly) allows me to compute the angle of arrival by maximizing a function dependent on the steering vector $a(\theta).$
The first issue I am facing is computing this steering vector from a Python program. I feel that I lack a conceptual understanding of what this steering vector means.
Moreover, how can I actually implement a (Python, ideally) program which (a) detects nearby Bluetooth devices, (b) computes the steering vector, and (c) performs the MUSIC algorithm to compute the angle of arrival? Only a basic overview of the process is sufficient.
Thanks in advance.