Abstract
A new 2D DOA estimation method for coherently distributed (CD) source is proposed. CD sources model is constructed by using Taylor approximation to the generalized steering vector (GSV), whereas the angular and angular spread are separated from signal pattern. The angular information is in the phase part of the GSV, and the angular spread information is in the module part of the GSV, thus enabling to decouple the estimation of 2D DOA from that of the angular spread. The array received data is used to construct three-dimensional (3D) enhanced data matrix. The 2D DOA for coherently distributed sources could be estimated from the enhanced matrix by using 3D matrix pencil method. Computer simulation validated the efficiency of the algorithm.
Highlights
In many applications, such as wireless communications, radar, and sonar, the effect of angular spread can no longer be ignored
We extend it for the 2D DOA estimation of coherently distributed sources without any search
From (3), (4), (5), and (6), we know that the angular spread only affect the module of the received signal because matrix pencil (MP) algorithm extracts the poles from the phase of signal, the MP algorithm might be used for the estimation of 2D DOA similar as [9] for point source
Summary
In many applications, such as wireless communications, radar, and sonar, the effect of angular spread can no longer be ignored. Based on specially designed array geometry, VESPA is used for the estimation of 2D DOA and angular spread for coherently distributed source [5]. The angular information can be got from the phase part of the received signal, which can be got from the poles extracted by matrix pencil (MP) method. MP method can be used to decouple the estimation of 2D DOA from that of the angular spread for coherently distributed source. The MP method is used for the estimation of twodimensional frequencies in [7, 8] and extended for the 2D DOA estimation for point source in [9, 10]. After the three poles are estimated from the phase part of the signal, the 2D DOA for coherently distributed sources could be estimated.
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