Application of the method of steepest descent optimization to the design of shaped beam antennas

Bull, J.F.; Kalata, P.; Profera, C.

doi:10.1109/aps.1982.1148757

Cited by 4 publications

(1 citation statement)

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“…A non-exhaustive list of phase-only optimization approaches addressing all the individual phases of the array include gradient methods [2], [3], [19], integer programming [5], alternate projections [6], more recently semi-definite programming relaxations [7], the steepest descent method [8], [9], Taguchi method [10] and the non uniform FFT [11]. Furthermore, for these tough problems, evolutionary algorithm as particle swarm [12], [13], bat algorithm [14] or cross entropy [15] are usually preferred since they perform a global optimization, and do not easily get trapped in local minima, as deterministic techniques do, especially in complex non-convex optimization problems as the one faced here.…”

Section: Introductionmentioning

confidence: 99%

Phase-Only Synthesis for Large Planar Arrays via Zernike Polynomials and Invasive Weed Optimization

Angeletti

Berretti

Maddio

et al. 2022

IEEE Trans. Antennas Propagat.

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A synthesis method for the design of large planar array antennas with phase-only control is here presented. The synthesis is based on the use of Zernike polynomials, as global basis function for the phase, to reduce the number of optimization variables with respect to the number of elements of the array. Invasive weed optimization (IWO) is applied to polynomial coefficients' optimization to circumvent non-linearity and local trapping issues typical of phase-only problems. The periodicity of the array factor is exploited to reduce the optimization to a Voronoi cell of the grating-lobes' lattice and non-uniform meshing is introduced to best adapt the control stations to the beam shape requirements. The technique is applied to the design of shaped beams for continental coverage from geostationary satellites.

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Section: Introductionmentioning

confidence: 99%

Phase-Only Synthesis for Large Planar Arrays via Zernike Polynomials and Invasive Weed Optimization

Angeletti

Berretti

Maddio

et al. 2022

IEEE Trans. Antennas Propagat.

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An adaptive stepsize plus integral controller for improvement to the steepest descent algorithm

Moir

2021

Adaptive Control & Signal

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Summary The classical approach to steepest‐descent optimization is viewed from a different perspective, namely, control‐systems in the frequency‐domain. Using classical control methods, it becomes possible to view the optimization problem as a control‐system and then to implement a controller to improve the algorithm so as to achieve a lower error. An adaptive stepsize proportional plus integral algorithm is derived to cope with time‐varying problems. For such problems the gain is time varying and the closed‐loop system must be adaptive by varying the loop gain to maintain stability.

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Phased array contour beam shaping by phase optimization

Cherrette

Chang²

1985 Antennas and Propagation Society International Symposium

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Application of the method of steepest descent optimization to the design of shaped beam antennas

Cited by 4 publications

References 1 publication

Phase-Only Synthesis for Large Planar Arrays via Zernike Polynomials and Invasive Weed Optimization

Phase-Only Synthesis for Large Planar Arrays via Zernike Polynomials and Invasive Weed Optimization

An adaptive stepsize plus integral controller for improvement to the steepest descent algorithm

Phased array contour beam shaping by phase optimization

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