2021
DOI: 10.1049/mia2.12083
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Analytical scannable‐shaped beam pattern synthesis via superposition principle

Abstract: A shaped beam pattern (SBP) synthesis algorithm, which obtains the desired SBP in an analytical way, is proposed. The new algorithm describes the SBP with the weighted superposition of a set of pencil beam patterns (PBPs). First, the array weight of the PBP is obtained via analytical algorithms, such as; Chebychev and Taylor, etc. Then, by computing the weights of the PBPs with the least-square method, the synthesized SBP is expressed explicitly. Different from the state-of-the-art algorithms, the proposed alg… Show more

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Cited by 7 publications
(6 citation statements)
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“…The approach of combining GA with neural network architecture was inspired by previous studies that have investigated hyperparameter optimization for neural networks [5,14,17]. GA has been used to solve optimization problems in various fields, including autonomous crack detection [4], electromagnetics [1], synthesis of antenna patterns [16], computer vision and speech processing [36]. To the best of author's knowledge, the technique has not yet been applied to COVID-19 detection.…”
mentioning
confidence: 99%
“…The approach of combining GA with neural network architecture was inspired by previous studies that have investigated hyperparameter optimization for neural networks [5,14,17]. GA has been used to solve optimization problems in various fields, including autonomous crack detection [4], electromagnetics [1], synthesis of antenna patterns [16], computer vision and speech processing [36]. To the best of author's knowledge, the technique has not yet been applied to COVID-19 detection.…”
mentioning
confidence: 99%
“…Obviously, it is a real‐valued pencil beam pointing in θ n . Inspired by this point [9–11], the shaped beampattern can be considered as the superposition of some pencil beams with a specific point, i.e., G()θbadbreak=b1S()θ,θ1goodbreak+b2S()θ,θ2goodbreak+goodbreak+bNS()θ,θN$$\begin{equation}G\left( \theta \right) = {b}_1S\left( {\theta ,{\theta }_1} \right) + {b}_2S\left( {\theta ,{\theta }_2} \right) + \cdots + {b}_NS\left( {\theta ,{\theta }_N} \right)\end{equation}$$where G (θ)represents the shaped beampattern. Correspondingly, the total excitation can be represented as truew¯badbreak=b1w0Θ1goodbreak+b2w0Θ2goodbreak+goodbreak+bNw0ΘN$$\begin{equation}{{\bf \bar{w}}} = {b}_1{{{\bf w}}}_0 \odot {\Theta }_1 + {b}_2{{{\bf w}}}_0 \odot {\Theta }_2 + \cdots + {b}_N{{{\bf w}}}_0 \odot {\Theta }_N\end{equation}$$…”
Section: Introductionmentioning
confidence: 99%
“…The third one focuses on the analytical methods. Three analytical methods based on superposition principle are proposed [9][10][11]. They first attain some pencil beams using the Taylor method, and then superpose them to achieve the shaped beampattern.…”
mentioning
confidence: 99%
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“…Flat-top beams are a type of shaped array patterns which approximate rectangular function in a certain region. For their synthesis, many analytical [1][2][3][4][5][6][7][8][9], optimisation-based [10][11][12][13][14][15][16][17][18], and hybrid [19][20][21] methods have been developed. However, in the design of arrays requiring fast and robust beamforming, the methods with low computational complexity are preferred.…”
Section: Introductionmentioning
confidence: 99%