Analysis of the Convexity of Iterative Maximum Likelihood Methods for DOA Estimation
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E98-A No.8 pp.1829-1833
- Publication Date
- 2015/08/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E98.A.1829
- Type of Manuscript
- LETTER
- Category
- Digital Signal Processing
Authors
Liang LIU
University of Electronic Science and Technology of China
Ping WEI
University of Electronic Science and Technology of China
Hong Shu LIAO
University of Electronic Science and Technology of China
Keyword
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Liang LIU, Ping WEI, Hong Shu LIAO, "Analysis of the Convexity of Iterative Maximum Likelihood Methods for DOA Estimation" in IEICE TRANSACTIONS on Fundamentals,
vol. E98-A, no. 8, pp. 1829-1833, August 2015, doi: 10.1587/transfun.E98.A.1829.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E98.A.1829/_p
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@ARTICLE{e98-a_8_1829,
author={Liang LIU, Ping WEI, Hong Shu LIAO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Analysis of the Convexity of Iterative Maximum Likelihood Methods for DOA Estimation},
year={2015},
volume={E98-A},
number={8},
pages={1829-1833},
abstract={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.},
keywords={},
doi={10.1587/transfun.E98.A.1829},
ISSN={1745-1337},
month={August},}
Copy
TY - JOUR
TI - Analysis of the Convexity of Iterative Maximum Likelihood Methods for DOA Estimation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1829
EP - 1833
AU - Liang LIU
AU - Ping WEI
AU - Hong Shu LIAO
PY - 2015
DO - 10.1587/transfun.E98.A.1829
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E98-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2015
AB - 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.
ER -
English
