A transformation between the phasing techniques required for linear and circular aerial arrays

Davies, D.E.N.

doi:10.1049/piee.1965.0340

Cited by 67 publications

(49 citation statements)

References 8 publications

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“…We have adopted the Davies transformation method to demonstrate the DC excitations in MCCAs [26]. According to the phase mode theory, the CAA excitation coefficients J n are treated in the same linear array (LA).…”

Section: Coefficientsmentioning

confidence: 99%

Effect of uniform and Dolph--Chebyshev excitations on the performance of circular array antennas

Narsimman¹,

Choukiker²,

Zinka³

et al. 2017

Turk J Elec Eng & Comp Sci

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This paper presents the design and simulation of microstrip circular antenna arrays and studies the effect of excitation with uniform and Dolph-Chebyshev distribution. With side lobe level of 20 dB and 8 microstrip circular patches, the circular array has been demonstrated with minimum grating lobes. The effects of patch and antenna array length on directivity, radiation patterns, and side lobe are also studied in detail. It is found that these antenna arrays are suitable for radar application.

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Section: Coefficientsmentioning

confidence: 99%

Effect of uniform and Dolph--Chebyshev excitations on the performance of circular array antennas

Narsimman¹,

Choukiker²,

Zinka³

et al. 2017

Turk J Elec Eng & Comp Sci

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“…The second approach, proposed by Davies [13], involves transforming the steering vector of the UCA to that of a virtual array, which we termed the Davies array. The key points about this array are as follows:…”

Section: Transformations For Nonideal Uniform Circularmentioning

confidence: 99%

“…Returning to the Davies array, we remark here that in [13], it was assumed tacitly that the antenna elements all have the same omnidirectional response, the electronics associated with each antenna element are identical, the antenna elements are located at their correct positions, and there is no mutual coupling between the antenna elements. Clearly, in any real implementation, none of these assumptions will hold.…”

Section: Transformations For Nonideal Uniform Circularmentioning

confidence: 99%

Transformations for nonideal uniform circular arrays operating in correlated signal environments

Lau

Leung

Liu

et al. 2006

IEEE Trans. Signal Process.

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Abstract-The Davies transformation is a method to transform the steering vector of a uniform circular array (UCA) to one with Vandermonde form. As such, it allows techniques such as spatial smoothing for direction-of-arrival (DOA) estimation in a correlated signal environment, developed originally for uniform linear arrays, to be applied to UCAs. However, the Davies transformation can be highly sensitive to perturbations of the underlying array model. This paper presents a method for deriving a more robust transformation using optimization techniques. The effectiveness of the method is illustrated through a number of DOA estimation examples.Index Terms-Correlated signals, direction-of-arrival (DOA) estimation, quadratic semi-infinite programming, robustness, uniform circular arrays (UCAs).

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“…In [7], Davies proposes a method to transform the sensor element outputs of a UCA to derive the so-called virtual array. Though attractive, the Davies transformation is not without problems.…”

Section: Introductionmentioning

confidence: 99%

“…Though attractive, the Davies transformation is not without problems. Specifically, Davies [7] tacitly assumes that (i) all antenna elements have the same omnidirectional response, (ii) the electronics associated with each antenna element are identical, (iii) the antenna elements are located at their correct positions, and (iv) there is no mutual coupling between the antenna elements. Clearly, in a real system none of the above assumptions will hold.…”

Section: Introductionmentioning

confidence: 99%

Direction of arrival estimation in the presence of correlated signals and array imperfections with uniform circular arrays

Lau

Leung

Liu

et al. 2002

IEEE International Conference on Acoustics Speech and Signal Processing

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The Davies transformation is a method to transform the steering vector of a uniform circular array (UCA) to a vector with Vandermonde form. As this form is similar to that of the steering vector of a uniform linear array (ULA), we can apply to UCAs the many tools that have been developed for ULAs. However, the Davies transformation can be highly sensitive to perturbations of the underlying ideal array model. In this paper, we present a method for deriving a more robust transformation using novel optimization techniques. In particular, we consider its application to direction of arrival estimation in the presence of correlated signals. The effectiveness of the method is illustrated through a numerical example.

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A transformation between the phasing techniques required for linear and circular aerial arrays

Cited by 67 publications

References 8 publications

Effect of uniform and Dolph--Chebyshev excitations on the performance of circular array antennas

Effect of uniform and Dolph--Chebyshev excitations on the performance of circular array antennas

Transformations for nonideal uniform circular arrays operating in correlated signal environments

Direction of arrival estimation in the presence of correlated signals and array imperfections with uniform circular arrays

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