I am currently working on a MUSIC algorithm for DOA of RF emitters in 3D.
At the first stage, interested to apply the 1D MUSIC using a linear array of 4 antennas, and estimate only the azimuth of the target projected on X-Y surface(and not the elevation). The code was written and the relevant simulations performed.
However, there are two issues which require further clarifications.
- In the described setup, two solutions will be received, as plotted below:
Wondered what may be the methods to eliminate the second solution, given a static array and a moving target.
- Taking into account that the elevation is not being estimated (as opposed to the case of 2D MUSIC), wondered whether the estimation accuracy in azimuth is being effected, or only the 2D projection of the signal has an impact on the estimated azimuth.
Further Elaboration of the second question:
Given the following 3D scenario, and using 1D MUSIC algorithm(with 4 equally spaced antenna array for instance), can it be assumed that the estimated azimuth of arrival will be the projection on XY as can be seen below:
Thank you Envidia – as 360 degrees are to be covered, and mechanical rotating is not being considered, limiting to 90 degrees will not answer the requirements.
Thank you David, following is the presentation of the error in the azimuth, resulting from elevation.
Seems that the error in the estimated angle can be expressed as: alpha – alpha’ = atan(y0/x0)- atan(sqrt(y0^2+h^2)/x0)
Thank you Stanely, as described in “Left-right ambiguity resolution of a towed array sonar” – page 9, Assuming a non-straight array breaks the undesirable symmetry of the beam pattern. In order to answer both the ambiguity and the error in Azimuth due to elevation, evaluating the UCA structure.
In addition, considering to use simple interferometry instead of Music, as multiple target separation is not a current requirement of the system.
The desired system must however be relatively compact(4 element UCA) and low cost(single channel proffered).
Update - 18 July:
Taking into account the following origin of the error, when using ULA for 3D DOA:
Wondered what is the expression describing the estimated angle error size as a function of elevation(for a given x and y).