Array Beampattern Synthesis without Specifying Lobe Level Masks
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Pages (from-to) | 4526-4539 |
Journal / Publication | IEEE Transactions on Antennas and Propagation |
Volume | 68 |
Issue number | 6 |
Online published | 13 Feb 2020 |
Publication status | Published - Jun 2020 |
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Abstract
In this paper, we devise a novel array beampattern synthesis algorithm, namely, without lobe level mask (WLLM), to avoid specifying a possibly improper or infeasible pattern mask by minimizing the ratio of the maximal sidelobe level to the minimal mainlobe level. To solve the resultant nonconvex and nonlinear fractional programming, we introduce auxiliary exponent variables to separate the numerator and denominator, and simplify each of the corresponding subproblems as a special single-variable optimization problem with a piecewise objective function and the constraints are removed via introducing unitstep functions. We also analyze the convexity or concavity of each piecewise function to compute the corresponding local minimum from which the global minimum can be obtained. Furthermore, our developed method is extended for solving the phase-only and constant modulus pattern synthesis problems. Numerical examples show that the WLLM beampattern synthesis methods can attain sufficiently low sidelobe level relative to the mainlobe level, and is suitable for arbitrary array configurations.
Research Area(s)
- Antenna arrays, Array signal processing, Beampattern synthesis, Fractional programming, Linear programming, Nonconvex and nonlinear optimization, Optimization, Task analysis, Transmission line matrix methods, Without lobe level mask (WLLM)
Citation Format(s)
Array Beampattern Synthesis without Specifying Lobe Level Masks. / Liang, Junli; Fan, Xuhui; So, Hing Cheung; Zhou, Deyun.
In: IEEE Transactions on Antennas and Propagation, Vol. 68, No. 6, 06.2020, p. 4526-4539.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review