Low-Sidelobe Shaped-Beam Pattern Synthesis With Amplitude Constraints

Lin, Zhipeng; Hu, Haoquan; Li, Ruiming; Tian, Jing; Chen, Bo

doi:10.1109/tap.2021.3125319

Cited by 15 publications

(6 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The majority of radiation parameters and characteristics are subject to the interest. One is required to take into account the limitations to the antenna construction in many cases [7,8], the electromagnetic compatibility demands [9][10][11], the peculiarities of whole radiation [12][13][14], and the level of DP'ssidelobes [15,16]. All the mentioned problems can be formulated as the problems of multiparameter optimization; therefore it is suitable to apply the variational formulation for their statement and further solving.…”

Section: Introductionmentioning

confidence: 99%

The Combined Search of the Different Kind of Solutions to the Optimization Problems of Antenna Synthesis Theory

Andriychuk

2024

Optimization Algorithms - Classics and Recent Advances

View full text Add to dashboard Cite

The restriction on the optimized function in the problem of the antenna synthesis leads to the characteristic form of the nonlinear integral equations, which are equivalent to the respective functionals of synthesis problem. The kind of the reduced equation depends on the operator, which is used for the calculation of antenna’s directivity pattern (DP). The two types of restrictions are considered, the first one is that the amplitude of the objective function is prescribed. The second one is that the restrictions on the phase of the objective function are imposed. The problem is actual because it deals with the analytical investigation of integral Hammerstein equations of a new type, on the one hand, and gives a possibility to get new types of solutions to above equations that can be applied at the modelling of antennas of the different appointment, on the other hand. The peculiarity of such equations is the non-uniqueness of their solutions. The accuracy of analytical approach is supported by the numerical data. The method of successive approximations is much effective for solving the reduced equations. The advantage of the approach proposed is a fast convergence of iterative procedures, which are applied for solving the obtained equations.

show abstract

Section: Introductionmentioning

confidence: 99%

The Combined Search of the Different Kind of Solutions to the Optimization Problems of Antenna Synthesis Theory

Andriychuk

2024

Optimization Algorithms - Classics and Recent Advances

View full text Add to dashboard Cite

show abstract

“…Pencil beam arrays are widely used in wireless communications [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] and wireless power transmission [16][17][18][19][20][21][22][23]. In both applications, they are utilized to direct the radiated energy into a specifed spatial region.…”

Section: Introductionmentioning

confidence: 99%

“…Many analytical [1][2][3][4][5][6] and optimization-based methods [7][8][9][10][11][12][13][14] provide pencil beams with low DRR. Analytical methods are based on popular windows and polynomials, for example, Gaussian [2] and ultraspherical [3] windows, as well as the Chebyshev [4], Gegenbauer [5], and Kaiser-Hamming [6] polynomials.…”

Section: Introductionmentioning

confidence: 99%

“…Optimization-based synthesis allows explicit control of DRR. Such a synthesis utilizes one of the following approaches: DRR minimization while other pencil beam parameters are kept within given requirements [7,8], or optimization of other pencil beam parameters while DRR is kept below a predefned value [9][10][11][12][13][14]. Te optimization-based methods utilize diferent solving techniques such as alternating direction method of multipliers [8,13], genetic algorithms [9], and convex programming [7,10,11].…”

Section: Introductionmentioning

confidence: 99%

“…Unfortunately, incorporating DRR into an optimization problem leads to nonconvex constraints, making its solving challenging. Recently, efcient methods for coping with this problem have been proposed in [7,8,13] and [14].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Optimum Synthesis of Pencil Beams with Constrained Dynamic Range Ratio

Matijaščić

Bellotti

Vučić

et al. 2022

International Journal of Antennas and Propagation

View full text Add to dashboard Cite

In antenna array design, low dynamic range ratio (DRR) of excitation coefficients is important because it simplifies array’s feeding network and enables better control of mutual coupling. Optimization-based synthesis of pencil beams allows explicit control of DRR. However, incorporating DRR into an optimization problem leads to nonconvex constraints, making its solving challenging. In this paper, a framework for global optimization of linear pencil beams with constrained DRR is presented. By using this framework, the methods for synthesis of pencil beams with minimum sidelobe level and minimum sidelobe power are developed. Both methods utilize convex problems suitable for the synthesis of pencil beams whose coefficients’ signs are known in advance. By incorporating these problems into a branch and bound algorithm, the procedures for global optimizations are formed which systematically search the space of all coefficient signs. The method for minimization of sidelobe power is further analyzed in the context of beam efficiency. It is shown that this method can be utilized in an approximate and at the same time global design of pencil beam arrays with maximum beam efficiency and constrained DRR. Based on this approach, a method for the design of pencil beam arrays with minimum DRR and specified beam efficiency is proposed.

show abstract

Sum and difference patterns synthesis with common excitation amplitude

Fan,

Xu,

et al. 2023

Digital Signal Processing

View full text Add to dashboard Cite

Low-Sidelobe Shaped-Beam Pattern Synthesis With Amplitude Constraints

Cited by 15 publications

References 46 publications

The Combined Search of the Different Kind of Solutions to the Optimization Problems of Antenna Synthesis Theory

The Combined Search of the Different Kind of Solutions to the Optimization Problems of Antenna Synthesis Theory

Optimum Synthesis of Pencil Beams with Constrained Dynamic Range Ratio

Sum and difference patterns synthesis with common excitation amplitude

Contact Info

Product

Resources

About