1997
DOI: 10.1109/8.650072
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Performance of radial-basis function networks for direction of arrival estimation with antenna arrays

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Cited by 188 publications
(108 citation statements)
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“…Parameter vector always lies in the subspace spanned by the training data and, according to the representer theorem [37], it can be constructed as a linear combination of the given data (8) where are the training data pairs. Then, estimator (7) can be rewritten as (9) In this context, 's are called primal parameters, and 's are the dual ones. The problem of optimizing the estimator expressed as in (9) is called a dual problem, and it is useful for those cases where the primal problem is unsolvable in a direct way.…”
Section: Estimators In Reproducing Kernel Hilbert Subspacesmentioning
confidence: 99%
See 1 more Smart Citation
“…Parameter vector always lies in the subspace spanned by the training data and, according to the representer theorem [37], it can be constructed as a linear combination of the given data (8) where are the training data pairs. Then, estimator (7) can be rewritten as (9) In this context, 's are called primal parameters, and 's are the dual ones. The problem of optimizing the estimator expressed as in (9) is called a dual problem, and it is useful for those cases where the primal problem is unsolvable in a direct way.…”
Section: Estimators In Reproducing Kernel Hilbert Subspacesmentioning
confidence: 99%
“…This feature decreases estimation errors or bit error rates. Neural networks [4] have been proposed for beamforming (e.g., [5]- [7]) and direction of arrival estimation (e.g., [8], [9]) among other array processing tasks. A com-A.…”
mentioning
confidence: 99%
“…Compared to conventional signal processing algorithms that are mainly based on linear models, neural networks consider DOA estimation as approximation of highly nonlinear multidimensional function, or in other words, as a mapping between spatial covariance matrix of received signals from antenna elements and DOAs. There are many publications on ANNs in DOA estimation of both narrowband and wideband signals [22][23][24][25][26][27][28][29][30][31]. Most of them report results on Radial Basis Function Neural Network (RBF-NN) modeling to estimate DOAs in azimuth plane only, but there are also papers addressing two-dimensional DOA estimation [32][33][34][35].…”
Section: Introductionmentioning
confidence: 99%
“…Ability and adaptability to learn, generalisability, fast real-time operation, and ease of implementation have made NNs popular for a number of microwave design problems in recent years [2]. Citing just a number of examples: NNs have been used in the design of passive microwave circuits [3], analysis and synthesis of microstrip lines [4], calculation of the characteristic impedance of air-suspended trapezoidal and rectangular-shaped microshield lines [5], design of nonlinear microwave circuits based on active devices [6], design of microstrip patch antennas [7,8], direction of arrival estimation with antenna arrays [9,10], radar target recognition [11], aperture antenna shape prediction [12], inverse scattering of dielectric cylinders [13], near field to far filed transformation [14], and synthesis of antenna array [15,16]. In addition to modeling the response, NNs can also be employed within the core of the full-wave solvers based on the method of moments [17,18].…”
Section: Introductionmentioning
confidence: 99%