Unequally‐excited linear totally random antenna arrays for multi‐beam patterns

Buonanno, Giovanni; Solimene, Raffaele

doi:10.1049/iet-map.2017.1206

Cited by 12 publications

(25 citation statements)

References 15 publications

(37 reference statements)

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“…Moreover, said I n the excitation coefficient for the radiator in X n , we further assume that I −n = I * n , where () * stands for conjugation. Accordingly, on assuming that the mutual coupling is negligible [8], the normalised array factor can be written as [4] …”

Section: Unequally-excited Symmetric Random Arraysmentioning

confidence: 99%

“…As such it can be (even though partially) characterised in terms of the mean and variance. The latter can be explicitly written as [4] …”

Section: Unequally-excited Symmetric Random Arraysmentioning

confidence: 99%

“…In particular, we selected two types of array factors forφ DES (u): the sector and the cosecant patterns. These are more complex than the relatively simple multi-beams addressed in [4] and are often employed in literature as reference for the introduction of continuous source and uniformly-spaced unequally-excited arrays synthesis methods [13,14]. Let us start by the sector-pattern case.…”

Section: Numerical Analysismentioning

confidence: 99%

“…In particular, such transformations are chosen so as to shape the radiation pattern according to the design requirements. We remark that we already exploited this same philosophy for multi-beam array factors [4]. Here, we study what extent we can apply such an approach to the case of more complex array factors.…”

Section: Introductionmentioning

confidence: 98%

“…To accomplish such a task here we adopt the following procedure [4]: first, the array parameters are designed so that the mean array factor is equal to the desired one; then the design error is estimated by computing how much the actual radiation pattern deviates (statistically) from such a mean. Note that the latter question is equivalent to finding the probability distribution of the magnitude maximum of a central random process.…”

Section: Introductionmentioning

confidence: 99%

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Study of Unequally-Excited Random Antenna Arrays for Beam Shaping

Buonanno¹,

Solimene²

2018

PIER C

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Abstract-Random arrays have been typically studied by considering real uniform excitations. This is suited for single-beam radiation patterns but does not allow for more sophisticated patterns. Indeed, only even patterns, with respect to the steering angle, can be achieved. To overcome this limitation, we recently proposed a new model whereby the excitation coefficients are not uniform and are determined by means of two random variable transformations. In this paper, we deal more extensively with the properties of this model, highlighting things that have not been pointed out previously. In order to get analytical results, we just consider symmetric random arrays. For such a case, we determine the design error, that is the cumulative distribution function of the supremum of the the difference between the actual and desired array factors. It is shown that general shaped beams can be actually achieved but at the cost of an increase of the design error as compared to the single-beam case. Numerical analysis validates the presented theory.

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Section: Unequally-excited Symmetric Random Arraysmentioning

confidence: 99%

“…As such it can be (even though partially) characterised in terms of the mean and variance. The latter can be explicitly written as [4] …”

Section: Unequally-excited Symmetric Random Arraysmentioning

confidence: 99%

Section: Numerical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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Study of Unequally-Excited Random Antenna Arrays for Beam Shaping

Buonanno¹,

Solimene²

2018

PIER C

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Unequally excited generalised random binned antenna arrays

Buonanno¹,

Solimene²

2019

IET Microwaves, Antennas & Propagation

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It has been recently shown that random arrays paired with a proper excitation strategy can be used to shape the array factor. These random arrays were termed unequally excited totally random arrays (TRAs). This scheme allows to greatly enlarge the class of obtainable patterns, well beyond the classical single beam. However, its main disadvantage is a reduction of the achievable performance, the latter measured in terms of the deviation from the average array factor. In this contribution, a strategy for remedying (even only partially) to such a loss of performance by retaining the same flexibility in shaping the pattern is addressed. To this end, a new scheme for generating random arrays that merges unequal excitations and a suitable generalised binned procedure is introduced. It is shown that this new model of generalised binned arrays always outperforms unequally excited TRAs. In particular, the study is focused on symmetric arrays (for which the elements are deployed symmetrically with respect to the array aperture centre) which allows to get closed‐form expressions without invoking some common assumptions that in general do not hold true in practice. The theoretical findings are assessed by several numerical examples for the case of multi‐beam array factors.

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Global Characterization of Linear Statistically Thinned Antenna Arrays

Buonanno

Solimene

2021

IEEE Access

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In this paper we consider the characterisation of linear statistically thinned arrays. Their sidelobe level is often given in terms of the angle independent array factor variance, which does not capture the actual statistical fluctuations of the power pattern around its average, or by some analytical formulas which overcome this limitation by estimating the probability distribution of the peak side-lobe level.Here, the aim is to refine existing theory in order to obtain a more precise estimation of the statistical features of thinned arrays. For the general asymmetric case, we derive an analytical expression of the variance of the power pattern. This measures the dispersion of the power pattern around the average and in conjunction with the Chebyshev's inequality allows to find a lower bound, for each fixed angle, of the power pattern probability distribution. For symmetric thinned arrays, the power pattern probability distribution is precisely obtained without resorting to some strong assumptions which are usually employed to get tractable expressions. Also, this result, along with the up-crossing method, allows to obtain a theoretical and new expression for the peak side-lobe level probability distribution as well as for the deviation between the thinned array factor and the reference one. The theoretical findings are checked through a Monte Carlo numerical analysis. The numerical results show that the theoretical predictions work very well and are more accurate than previous literature estimations. Finally, since the symmetric thinned arrays actually exploit half the available degrees of freedom, a numerical comparison is run with the asymmetric ones. The comparison shows that asymmetric and symmetric statistically thinned arrays exhibit similar performances.

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Unequally‐excited linear totally random antenna arrays for multi‐beam patterns

Cited by 12 publications

References 15 publications

Study of Unequally-Excited Random Antenna Arrays for Beam Shaping

Study of Unequally-Excited Random Antenna Arrays for Beam Shaping

Unequally excited generalised random binned antenna arrays

Global Characterization of Linear Statistically Thinned Antenna Arrays

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