Design of Linear Arrays Forming Pencil Beams Based on Derivatives of Chebyshev Polynomials

Matijaščić, Marko; Molnar, Goran

doi:10.23919/mipro.2019.8757022

Cited by 6 publications

(5 citation statements)

References 17 publications

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“…Te above problem is obtained by relaxing the problem in (4). As shown in Figure 1, at each node, the signs of the frst r coefcients are uniquely specifed, whereas N−r coefcients remain to be assigned one of 2 N−r possibilities.…”

Section: Global Solving Of Optimization Problemmentioning

confidence: 99%

“…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. Te methods in [2][3][4] provide a low DRR inherently, whereas [1,5,6] incorporate the requirement for low DRR as a design objective.…”

Section: Introductionmentioning

confidence: 99%

“…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. Te methods in [2][3][4] provide a low DRR inherently, whereas [1,5,6] incorporate the requirement for low DRR as a design objective.…”

Section: Introductionmentioning

confidence: 99%

See 3 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

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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.

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Section: Global Solving Of Optimization Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

show abstract

“…To implement the same pattern directly for a discrete array, Villeneuve [17] proposed a method to replace the last few zeros of the array response with the zeros of a uniform array. Different window methods like Gaussian [18] and the derivative of Chebyshev [19] have been reported to get a decaying sidelobe shape with narrower main lobe for improved efficiency. In [20], a modified Chebyshev array is proposed to make the SLL, beamwidth to be adjustable independently.…”

Section: Introductionmentioning

confidence: 99%