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High-resolution 2-D direction-of-arrival(DOA) estimation is very popular topics in the last years, many researchers have been studying these problems. Among these high-resolution algorithms, the eigenstructure-based methods such as MUSIC, ESPRIT etc., have been widely used. However, MUSIC needs a search procedure inherently, so that it is computationally more burden and has more serious restriction in array manifold. So then, we make use of ESPRIT, the advantages of which does not need a search procedure and no more serious restriction in array manifold. Our purpose is to estimate 2-D DOA based on ESPRIT-like algorithms, which are MI-ESPRIT and MST-ESPRIT. Beside, we also make analyse of 2-D DOAs estimation for broadband coherent sources. In 1985, the CSS algorithm was proposed by Wang and Kaveh, then in 1988, an innoviated algorithm- RSS was proposed by Hung and Kaveh. Both those utilized a transformation matrix (or focusing matrix), which it transforms various signal component in different frequency bins into the signal component at a common frequency bin. Then it utilized the frequency smoothing operation to remove the coherence between sources, also with data reduced step. We propose another method so called beamspace transformation, and then compare the performances among beamspace transformation, RSS and HSST by computer simulations. Since these transformation matrices requires preliminary estimate of the DOAs of sources, and if they are inappropriatedly selected especially in the multigroup sceniarios, the transformation matrix will degrade the array performance. So many scholars wanted to find other focusing forms without preliminary known DOAs. Alougth those literatures are rich, but it is sad to us because most of those are limited to a linear array. Now, we try to use eigenvalue decomposition or singular value decomposition of the array data, to take the signal-beamspace to finish the focusing work.
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