Linear program synthesis for direct broadcast satellite phased arrays

Richie, J.E.; Kritikos, H. N.

doi:10.1109/8.192116

Cited by 19 publications

(5 citation statements)

References 5 publications

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“…This method may be extended to direct-broadcast satellite phased arrays by combining it with the samp l ing-function met hod developed by Richie and Kritikos [13,14]. In this case, the pattern to be sampled can be synthesized by using a recent quasianalytical 102 method that shapes the desired footprint as a composit ion of sev� eral ¢ -symm etric c ircular Taylor patterns exhibiting flat-topped beams [15].…”

Section: Resultsmentioning

confidence: 99%

A Simple Way of Obtaining Optimized Patterns Using the Woodward-Lawson Method

Milligan

2006

IEEE Antennas Propag. Mag.

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This paper describes a new way of applying the Woodward-Lawson method in order to avoid its limitations concerning pattern performance. The proposed method obtains the Woodward-Lawson beam coefficients by sampling a previously synthesized optimal pattern using the Orchard-Elliott method, which provides the advantages of both syntheSiS methods. This work also discusses new insights about the multiplicity of solutions in the Woodward-Lawson method.

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Section: Resultsmentioning

confidence: 99%

A Simple Way of Obtaining Optimized Patterns Using the Woodward-Lawson Method

Milligan

2006

IEEE Antennas Propag. Mag.

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“…Application of the direct WL method, Box 5, to Fm(; ) (that means to sample it in a rectangular window as shown in the picture of plane of the sth sample (in some appropriate numbering scheme); the total number of samples is S and it is dependent of N ele , dx and dy [9]; f e (;) is the element factor. In practice, F m (; ) is only calculated at the Woodward-Lawson sampling points that are located within a window that covers the footprint and the inner side lobes (the side lobes depressed by the OES synthesis).…”

Section: Methodsmentioning

confidence: 99%

“…Application of a simplex optimization technique-linear programming-allowed modification of the WL method, so that side lobe level and ripple could be controlled by means of perturbation of the beam weights specified by the original, direct WL method [9]. Furthermore, Orchard, Elliott, and Stern (OES) [10] developed a shaped beam synthesis technique for linear arrays where the roots of the Schelkunoff polynomial are perturbed from appropriate starting values by means of a gradient method (a variant of the Remez algorithm [11]).…”

Section: Introductionmentioning

confidence: 99%

Synthesis of Very Large Planar Arrays for Prescribed Footprint Illumination

Ares

Fondevila-Gómez

Franceschetti

et al. 2008

IEEE Trans. Antennas Propagat.

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A wide-band circularly polarized L-probe coupled patch antenna for dual-band operation," A reconfigurable patch antenna using switchable slots for circular polarization diversity," IEEE Microw. Abstract-Footprint patterns can be efficiently synthesized by means of planar arrays with hundreds or thousands of elements: an efficient combination of Woodward-Lawson and Orchard-Elliott-Stern roots optimization procedure is suggested. This hybrid technique is applied to a footprint covering Europe by using planar arrays with isotropic elements and linearly polarized circular patches. The proposed method keeps under control both the side lobe and ripple level of the synthesized pattern.Index Terms-Antenna array pattern synthesis, footprint patterns, Orchard-Elliott-Stern (OES) method, planar arrays, Woodward-Lawson (WL) method.

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“…Mathematically, one wishes to solve subject to: (4) where SL constraints have been added for the sake of generality. Here we define an matrix of steering vectors to the constraint locations.…”

Section: Signal Model and Motivational Examplementioning

confidence: 99%

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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Linear program synthesis for direct broadcast satellite phased arrays

Cited by 19 publications

References 5 publications

A Simple Way of Obtaining Optimized Patterns Using the Woodward-Lawson Method

A Simple Way of Obtaining Optimized Patterns Using the Woodward-Lawson Method

Synthesis of Very Large Planar Arrays for Prescribed Footprint Illumination

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

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