Phased array contour beam shaping by phase optimization

Cherrette, A.; Chang, Daniel H.

doi:10.1109/aps.1985.1149392

Cited by 6 publications

(5 citation statements)

References 1 publication

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“…Through judicious phasing at each of the elements, the radiated energy can be tailored to the spatial distribution of the customers. Assuming negligible mutual coupling and employing the narrow-band and farfield assumptions, the signal received at a distant location is increased over that of a single element by (1) Here, is the beamforming phase shift applied to the signal at the th sensor located at . is the element factor for the service direction in -space coordinates , where and .…”

Section: Signal Model and Motivational Examplementioning

confidence: 99%

“…variation [1], [14] despite the loss of half the number of degrees of freedom. Phase-only techniques have also been investigated in applications where nulling in the SL region is desired.…”

Section: Introductionmentioning

confidence: 99%

“…The latter allows for the reuse of frequency bands for spatially displaced customers. Synthesis techniques aimed at solving for the amplitude and phase distribution across the array aperture to realize the beamforming goals have been the subject of many papers [1]- [9].…”

Section: Introductionmentioning

confidence: 99%

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Phase-only shaped beam synthesis via technique of approximated beam addition

Kautz¹

1999

IEEE Trans. Antennas Propagat.

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A new method for phase-only phased-array beampattern synthesis is derived. The method is appropriate for the synthesis of coverage patterns for satellite communications, where a minimax goal of maximizing the worst-case beamforming gain to a set of service locations is desired. The new approach, called the technique of approximated beam addition, is found to be computationally attractive relative to conventional methods, yet offers optimal performance. Included are a theoretical consideration of optimality and simulation examples comparing the computational complexity and convergence quality to that of proven techniques.Index Terms-Gradient methods, phased-array antennas, phase-only beamforming, shaped beams.

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Section: Signal Model and Motivational Examplementioning

confidence: 99%

“…variation [1], [14] despite the loss of half the number of degrees of freedom. Phase-only techniques have also been investigated in applications where nulling in the SL region is desired.…”

Section: Introductionmentioning

confidence: 99%

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Phase-only shaped beam synthesis via technique of approximated beam addition

Kautz¹

1999

IEEE Trans. Antennas Propagat.

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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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“…The contoured beam fits the shape of the desired coverage region and reduces wasted transmitted power by minimizing the illumination of the areas of no interest [1]. To produce the contoured beam, the two most popular designs are array-feed reflector [2,3] and planar phased-array [4]. However, owing to the increasing cost of the feed array and the complexity of beam forming network, a single-fed reflector antenna has been an active research area because of its simplicity [5,6].…”

Section: Introductionmentioning

confidence: 99%

Gradient-based optimization method for producing a contoured beam with single-fed reflector antenna

Lian

Wang

Xiang

et al. 2019

Journal of Systems Engineering and Electronics

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A gradient-based optimization method for producing a contoured beam by using a single-fed reflector antenna is presented. First, a quick and accurate pattern approximation formula based on physical optics (PO) is adopted to calculate the gradients of the directivity with respect to reflector's nodal displacements. Because the approximation formula is a linear function of nodal displacements, the gradient can be easily derived. Then, the method of the steepest descent is adopted, and an optimization iteration procedure is proposed. The iteration procedure includes two loops: an inner loop and an outer loop. In the inner loop, the gradient and pattern are calculated by matrix operation, which is very fast by using the pre-calculated data in the outer loop. In the outer loop, the ideal terms used in the inner loop to calculate the gradient and pattern are updated, and the real pattern is calculated by the PO method. Due to the high approximation accuracy, when the outer loop is performed once, the inner loop can be performed many times, which will save much time because the integration is replaced by matrix operation. In the end, a contoured beam covering the continental United States (CONUS) is designed, and simulation results show the effectiveness of the proposed algorithm.

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Phased array contour beam shaping by phase optimization

Cited by 6 publications

References 1 publication

Phase-only shaped beam synthesis via technique of approximated beam addition

Phase-only shaped beam synthesis via technique of approximated beam addition

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

Gradient-based optimization method for producing a contoured beam with single-fed reflector antenna

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