Array Beampattern Synthesis without Specifying Lobe Level Masks

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Original languageEnglish
Pages (from-to)4526-4539
Journal / PublicationIEEE Transactions on Antennas and Propagation
Issue number6
Online published13 Feb 2020
Publication statusPublished - Jun 2020


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)