Extensions of the Tseng-Cheng Pattern Synthesis Technique

Kim, Y.U.; Elliott, Robert S.

doi:10.1163/156939388x00224

Cited by 21 publications

(14 citation statements)

References 4 publications

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“…The key step in the overall optimal synthesis strategy developed for the linear array case was that of using the properties of one dimensional polynomials. In order to exploit similar arguments, by taking inspiration from [15] one can consider the auxiliary variable w defined as…”

Section: Optimal Synthesis Of Ring Symmetric Shaped Beams By Means Ofmentioning

confidence: 99%

“…Also, because of the fact that the Earth, as seen from a geostationary satellites, roughly corresponds to an angular region extending from θ = −8.6 • up to θ = 8.6 • , the same kind of pattern (but for the compensation of geometrical attenuation, see below) is of interest for the synthesis of arrays radiating from geostationary satellites [10,15].…”

Section: Numerical Examplesmentioning

confidence: 99%

See 1 more Smart Citation

On the Optimal Synthesis of Ring Symmetric Shaped Patterns by Means of Uniformly Spaced Planar Arrays

Morabito¹,

Laganà²,

Isernia³

2010

PIER B

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Abstract-By taking inspiration from [1], a synthesis strategy is proposed for the case of planar arrays and ring shaped patterns which does not require the exploitation of global optimization procedures. In particular, the approach is able to determine a priori (that is, without solving the overall design problem) whether the given power pattern design constraints can be fulfilled or not, and, in the adfirmative case, to determine the needed excitation coefficients in a fast deterministic manner. Although the approach does not apply to generic planar arrays and generic constraints, it applies to a large number of problems of actual interest, and outperforms some recently published synthesis procedures. Moreover, it may serve both as a reference solution for more general synthesis procedures, and as an elementary brick for more cumbersome synthesis problems.

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Section: Optimal Synthesis Of Ring Symmetric Shaped Beams By Means Ofmentioning

confidence: 99%

Section: Numerical Examplesmentioning

confidence: 99%

On the Optimal Synthesis of Ring Symmetric Shaped Patterns by Means of Uniformly Spaced Planar Arrays

Morabito¹,

Laganà²,

Isernia³

2010

PIER B

View full text Add to dashboard Cite

show abstract

“…Tseng and Cheng (1968) applied this transformation to a square array providing Chebyshev-type ring sidelobes. Kim and Elliott (1988) extended this to an adjustable topology of ring sidelobes. For a square array of N Â N elements, let the pattern be…”

Section: Ring Sidelobe Synthesismentioning

confidence: 99%

Planar and Circular Array Pattern Synthesis

Hansen

2009

Phased Array Antennas

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“…The planar array excitations can then be easily found using the formula given in [1,4,7]. Now when one uses a rectangular lattice and the Baklanov transformation, the planar array obtained has a rectangular boundary shape.…”

Section: Description Of the Overall Synthesis Schemementioning

confidence: 99%

“…Goto [S, 61 devised a Baklanovtype transformation that made the above-mentioned methods applicable to hexagonal planar arrays. More recently, Kim and Elliott [7] have further extended the technique to allow synthesis of arrays with not only unequal spacings d, and dyr but also certain combinations of unequal numbers of elements along the two principal axes, through use of a modified form of the original Baklanov transformation suggested in [l]. Kim 181 went a step further by devising a Baklanov-type transformation, which made the above-mentioned methods [7] applicable to hexagonal planar arrays, and which can be shown essentially equivalent to the results of Goto [ 5 , 61, though the approach in 181 is possibly more easily used with characteristic polynomials other than those used by Goto; for instance, in [8] the synthesis of hexagonal arrays with flat-topped beams is considered.…”

Section: Introductionmentioning

confidence: 98%