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Analysis of the Convexity of Iterative Maximum Likelihood Methods for DOA Estimation
Liang LIU Ping WEI Hong Shu LIAO
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E98-A
No.8
pp.1829-1833 Publication Date: 2015/08/01 Online ISSN: 1745-1337
DOI: 10.1587/transfun.E98.A.1829 Type of Manuscript: LETTER Category: Digital Signal Processing Keyword: direction-of-arrival estimation, convexity, iterative maximum likelihood, analysis,
Full Text: PDF(247.4KB)>>
Summary:
In this letter, a new analysis technique for finding the convexity of iterative maximum likelihood (IML) methods for direction-of-arrival (DOA) estimation is presented. The proposed technique can pave the way in avoiding the local solution when the IML methods are utilized to estimate DOA, especially for the scenarios of array with large antennas. From the derivation, we can see that as long as the initial DOA belongs to the approximate convex range estimated by our proposed technique, the IML methods can estimate the DOA very well without entering into local minima, which is particularly true for the large arrays. Furthermore, numerical experiments show us the results tallied well with our theoretical derivations.
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