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Two 2-D DOA Estimation Methods with Full and Partial Generalized Virtual Aperture Extension Technology
- Source :
- International Journal of Antennas and Propagation, Vol 2019 (2019)
- Publication Year :
- 2019
- Publisher :
- Hindawi, 2019.
-
Abstract
- We address the two-dimensional direction-of-arrival (2-D DOA) estimation problem for L-shaped uniform linear array (ULA) using two kinds of approaches represented by the subspace-like method and the sparse reconstruction method. Particular interest emphasizes on exploiting the generalized conjugate symmetry property of L-shaped ULA to maximize the virtual array aperture for two kinds of approaches. The subspace-like method develops the rotational invariance property of the full virtual received data model by introducing two azimuths and two elevation selection matrices. As a consequence, the problem to estimate azimuths represented by an eigenvalue matrix can be first solved by applying the eigenvalue decomposition (EVD) to a known nonsingular matrix, and the angles pairing is automatically implemented via the associate eigenvector. For the sparse reconstruction method, first, we give a lemma to verify that the received data model is equivalent to its dictionary-based sparse representation under certain mild conditions, and the uniqueness of solutions is guaranteed by assuming azimuth and elevation indices to lie on different rows and columns of sparse signal cross-correlation matrix; we then derive two kinds of data models to reconstruct sparse 2-D DOA via M-FOCUSS with and without compressive sensing (CS) involvements; finally, the numerical simulations validate the proposed approaches outperform the existing methods at a low or moderate complexity cost.
- Subjects :
- Article Subject
Computer science
020206 networking & telecommunications
02 engineering and technology
Sparse approximation
lcsh:HE9713-9715
Row and column spaces
law.invention
Matrix (mathematics)
Compressed sensing
Invertible matrix
law
0202 electrical engineering, electronic engineering, information engineering
lcsh:Cellular telephone services industry. Wireless telephone industry
Rotational invariance
020201 artificial intelligence & image processing
lcsh:Electrical engineering. Electronics. Nuclear engineering
Electrical and Electronic Engineering
lcsh:TK1-9971
Algorithm
Eigenvalues and eigenvectors
Eigendecomposition of a matrix
Subjects
Details
- Language :
- English
- ISSN :
- 16875869
- Database :
- OpenAIRE
- Journal :
- International Journal of Antennas and Propagation
- Accession number :
- edsair.doi.dedup.....019d7f4cedfb3a6d257079b1f037c11a
- Full Text :
- https://doi.org/10.1155/2019/3924569