2014
DOI: 10.1109/tsp.2014.2350966
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Synthesis of Linear and Planar Arrays With Minimum Element Selection

Abstract: Abstract-A new method for the synthesis of linear and planar arrays having prescribed beamwidth and sidelobe levels and a minimum number of elements is proposed. In the method, the number of elements in an array is minimized while constraining the amplitude-response error in the mainlobe region, the attenuation in the sidelobe region, and the array dimensions. An iterative constrained optimization method is used where the amplituderesponse error is linearly approximated at each iteration while concurrently min… Show more

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Cited by 35 publications
(19 citation statements)
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“…Here minimum side lobe attenuation is − ( ) max 20 log M SLL [21], and beam width deviation is the uniform array main lobe beam width minus the optimized array main lobe beam width. A positive value indicates that the main beam width is narrow or a more directed beam, whereas a negative value indicates that the main beam width is wide.…”
Section: Numerical Evaluationmentioning
confidence: 99%
“…Here minimum side lobe attenuation is − ( ) max 20 log M SLL [21], and beam width deviation is the uniform array main lobe beam width minus the optimized array main lobe beam width. A positive value indicates that the main beam width is narrow or a more directed beam, whereas a negative value indicates that the main beam width is wide.…”
Section: Numerical Evaluationmentioning
confidence: 99%
“…In addition to the advantages provided by a low-cost analog beamforming architecture employing LSAAs, the problem of antenna selection (AS) becomes important to reduce the power consumption and hardware complexity. Several works study the problem of AS in different applications [12][13][14][15][16]. The problem of designing nonuniformly spaced arrays is considered in [12] where the cost function is chosen to select the array with a minimum number of antenna elements.…”
Section: Introductionmentioning
confidence: 99%
“…The synthesis of reconfigurable sparse arrays using multiple measurement vectors focal underdetermined system solver (M-FOCUSS) was recently introduced in [16]. The iterative reweighted ℓ 1 -norm minimisation technique was used in [17] to synthesise linear and planar arrays with predefined beamwidth and sidelobe levels using a minimum number of elements. The same technique was used in [18] to design sparse arrays with frequency-invariant-focused beams.…”
Section: Introductionmentioning
confidence: 99%