A hybrid algorithm of orthogonal perturbation method and convex optimization for beamforming of sparse antenna array

Liang, Lihua; Jin, Can; Li, Hailin; Liu, Jialing; Jiang, Yachao; Zhou, Jianjiang

doi:10.1080/02726343.2020.1750640

Cited by 2 publications

(4 citation statements)

References 26 publications

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“…The beam width (at −3 dB) is 41.4°, and the SLP is −35.27 dB. Table 2 provides a comparison of the sparse array results between the proposed method and those proposed in [ 29 ].…”

Section: Resultsmentioning

confidence: 99%

“…A linear array with asymmetric sidelobe BP is employed, and a sparse linear array is synthesized using the proposed methods. We compare the sparse array result with those in [ 29 ]. The aperture and sensor spacing of the initial linear array are 12λ and 0.6λ, respectively.…”

Section: Resultsmentioning

confidence: 99%

“…The left SLP is −37.01 dB and the right SLP is −26 dB. Table 4 provides a comparison of the sparse array results between the proposed method and those proposed in [29]. The asymmetric sidelobe BP of the sparse linear array is shown in Figure 12.…”

Section: Asymmetric Sidelobe Bp Synthesismentioning

confidence: 99%

“…The main CS-based algorithms are Bayesian compressive sampling (BCS) algorithms [ 20 , 21 , 22 ], focal under-determined system solver (FOCUSS) algorithms [ 23 , 24 ], and convex optimization algorithms [ 25 , 26 , 27 ]. Moreover, some shaped beam patterns (such as flat-top BP and asymmetric sidelobe BP) are employed in sparse array synthesis via CS-based methods [ 28 , 29 , 30 ].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Optimization of Sparse Cross Array Synthesis via Perturbed Convex Optimization

Chen

Jiang

et al. 2020

Sensors

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Three-dimensional (3-D) imaging sonar systems require large planar arrays, which incur hardware costs. In contrast, a cross array consisting of two perpendicular linear arrays can also support 3-D imaging while dramatically reducing the number of sensors. Moreover, the use of an aperiodic sparse array can further reduce the number of sensors efficiently. In this paper, an optimized method for sparse cross array synthesis is proposed. First, the beamforming of a cross array based on a multi-frequency algorithm is simplified for both near-field and far-field. Next, a perturbed convex optimization algorithm is proposed for sparse cross array synthesis. The method based on convex optimization utilizes a first-order Taylor expansion to create position perturbations that can optimize the beam pattern and minimize the number of active sensors. Finally, a cross array with 100 + 100 sensors is employed from which a sparse cross array with 45 + 45 sensors is obtained via the proposed method. The experimental results show that the proposed method is more effective than existing methods for obtaining optimum results for sparse cross array synthesis in both the near-field and far-field.

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“…The beam width (at −3 dB) is 41.4°, and the SLP is −35.27 dB. Table 2 provides a comparison of the sparse array results between the proposed method and those proposed in [ 29 ].…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Asymmetric Sidelobe Bp Synthesismentioning

confidence: 99%