Unitary Root Music and Unitary Music with Real-Valued Rank Revealing Triangular Factorization
Journal article (postprint)
LOUISIANA STATE UNIV BATON ROUGE DEPT OF ELECTRICAL AND COMPUTER ENGINEERING
Pagination or Media Count:
This paper presents two methods to estimate the two-dimensional 2-D direction of arrival DOAs for coherent and non-coherent sources. The proposed methods have many advantages over existing schemes. First, they construct the data from a single snapshot in a Toeplitz form, whose rank is directly related to the DOA of signals, whether the signals are coherent or not hence, the algorithm does not require any forwardbackward spatial smoothing. Second, the two proposed methods can rapidly estimate the 2-D DOAs of incident signals without requiring singular value decomposition SVD or eigenvalue decomposition EVD, even in the case of coherent signals and a single snapshot. The two methods are 1 orthogonal projection real-valued rank revealing QR factorization OP-RRRQR, and 2 orthogonal projection real-valued rank revealing LU factorization OP-RRRLU. The proposed methods reduce the computational complexity and the cost at least by a factor of four by applying a unitary transformation, to the complex Toeplitz form to real data without forming the covariance matrix. The proposed algorithms employ the unitary root MUSIC and unitary MUSIC using cross array configuration to estimate the 2-D DOA azimuth and elevation angles without using the extensive 2-D MUSIC search. Hence, the proposed algorithm can reduce the computational load and cost significantly and can be applied to faster real-time radarsonar and commercial wireless systems. The simulation results show that the proposed algorithm can efficiently estimate the 2-D DOAs from different sources.
- Numerical Mathematics
- Operations Research