1964
DOI: 10.1109/tap.1964.1138163
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Dynamic programming applied to unequally spaced arrays

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Cited by 205 publications
(81 citation statements)
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“…The periodic nature of the arising layouts also enables an easier construction compared to other nonregular arrangements such as aperiodic structures [1]. Also for these reasons, array thinning has been deeply investigated and several methodologies have been proposed ranging from dynamic programming [3], random approaches [4,5], as well as stochastic tools based on genetic algorithms [1,6,7,8,9,10,11,12,13], simulated annealing [14], particle swarm optimizations [15,16,17], and pattern search [18]. Although very effective, these methodologies exhibit some drawbacks either in terms of PSL control (specifically, random layouts) or computational costs (namely, stochastic optimization-based techniques) especially when large layouts are at hand.…”
Section: Introductionmentioning
confidence: 99%
“…The periodic nature of the arising layouts also enables an easier construction compared to other nonregular arrangements such as aperiodic structures [1]. Also for these reasons, array thinning has been deeply investigated and several methodologies have been proposed ranging from dynamic programming [3], random approaches [4,5], as well as stochastic tools based on genetic algorithms [1,6,7,8,9,10,11,12,13], simulated annealing [14], particle swarm optimizations [15,16,17], and pattern search [18]. Although very effective, these methodologies exhibit some drawbacks either in terms of PSL control (specifically, random layouts) or computational costs (namely, stochastic optimization-based techniques) especially when large layouts are at hand.…”
Section: Introductionmentioning
confidence: 99%
“…In [4] the density of elements located within a given array length is made proportional to the amplitude distribution of the conventional equally-spaced array. Mailloux et al used statistical thinning of arrays with quantized element weights to reduce the SLL considerably in large circular arrays [5].…”
Section: Introductionmentioning
confidence: 99%
“…Such methods are easily extendable to linear, non linear, circular and elliptical arrays etc. These methods include linear optimization methods, non linear optimization, adaptive methods [8][9] dynamic programming [10], downhill, Powell's, conjugate gradient and genetic algorithm etc. Although, most of the above methods are widely applied, simulated annealing, GA [11][12][13] has the characteristics of universal technique.…”
Section: Introductionmentioning
confidence: 99%