Optimal polarised pattern synthesis of wideband arrays via convex optimisation

Li, Mianquan; Chang, Yuliang; Li, Yongzhen; Dong, Jian; Wang, Xuesong

doi:10.1049/iet-map.2012.0655

Cited by 24 publications

(13 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The later permits greater flexibility, and may be more suitable when multiple frequency-dependent excitations for different elements are required. Many practical techniques have been developed to design the optimal filter coefficients for producing the desired wideband patterns, such as convex optimization methods [2]- [5], Fourier transform technique [6], the least-squares approach [7] and the multi-rate processing [8]. Despite their success, they are not easily extended to optimize the element positions, and consequently most of them prefix the elements with the spacing of half a wavelength at the highest frequency.…”

Section: Introductionmentioning

confidence: 99%

Synthesis of Nonuniformly Spaced Linear Arrays With Frequency-Invariant Patterns by the Generalized Matrix Pencil Methods

Liu

Zhang

Zhu

2015

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

This work extends the matrix pencil method (MPM)-based synthesis technique to the case of nonuniformly spaced linear arrays with wideband frequency-invariant (FI) patterns. A new sampling strategy is proposed to obtain multiple pattern data of different frequencies having the same poles that correspond to the FI element positions. The obtained multiple pattern sequences have the same shape for the FI pattern requirement, but with different lengths. The generalized MPM (GMPM) and its forward-backward version (GFBMPM) are developed to estimate the best common element positions for different frequencies, which can significantly reduce the number of elements required for the specified wideband pattern shape. The element excitations are solved by the regularized least-square (LS) method at each frequency. Then an efficient method by utilizing the FFT is presented to obtain real-coefficient finite-impulse-response (FIR) filters for implementing the frequency-varying excitations. A set of numerical examples for the FI synthesis of pencil-beams, shaped patterns, scannable patterns and Taylor patterns with low sidelobe levels, are presented to validate the effectiveness and advantages of the proposed methods. The element saving is about 11.2% − 49.4% for usual cases.Index Terms-Nonuniformly spaced array, wideband array, frequency-invariant pattern, generalized matrix pencil method.

show abstract

Section: Introductionmentioning

confidence: 99%

Synthesis of Nonuniformly Spaced Linear Arrays With Frequency-Invariant Patterns by the Generalized Matrix Pencil Methods

Liu

Zhang

Zhu

2015

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

show abstract

“…The polarised beampattern synthesis has received much attention over recent years. Several works [1][2][3][4][5][6][7] dealing with the joint synthesis of power pattern and polarisation have been declared in the literature. In [1], an iterative least-square method is presented to synthesise a main beam with optimised circular polarisation for conformal arrays.…”

Section: Introductionmentioning

confidence: 99%

“…Later on, a method to synthesise the spatial power pattern while optimising polarisation over an angular region is proposed in [6]. Moreover, in [7], a finite-impulse response filter is set at each element to directly optimise the synthesised polarisation and wideband power patterns. Both the optimisations of the sum and difference patterns are formulated as convex programming problems to obtain efficient solutions.…”

Section: Introductionmentioning

confidence: 99%

Tri‐polarised antenna – a virtual rotatable dual‐polarised antenna used in polarised beampattern synthesis

et al. 2015

IET Microwaves, Antennas & Propagation

Self Cite

View full text Add to dashboard Cite

Tri‐polarised antennas are exploited to synthesise the optimal polarised beampattern in this study. First, the characteristics of a single tri‐polarised antenna are studied with an infinite current sheet model. Using the cross‐product algorithm, the authors find that three co‐located orthogonal current sheets are equivalent to a pair of orthogonal current sheets in a particular orientation. It implies that the tri‐polarised antenna is just virtually equivalent to a rotatable dual‐polarised antenna. Then by formulating the problem in a convex form, they adopt the convex optimisation algorithm to synthesise optimal polarised beampattern of the tri‐polarised array. The simulation results show that due to the increased orientation degree of freedom, the sidelobe and cross‐polarisation level of tri‐polarised array are significantly lower than the dual‐polarised array.

show abstract

“…Some complicated pattern can be synthesized by Woodward-Lawson [3] quickly, however this method can only be used in linear array. As the pattern synthesis problem is an optimization issue, convex optimization (CVX) [4,5,28] method is applied. The CVX can quickly find the optimization solution of objective function.…”

Section: Introductionmentioning

confidence: 99%

A Pattern Synthesis Method for Large Planar Antenna Array

Cong¹,

Wang²,

Qi³

2015

PIER M

View full text Add to dashboard Cite

The pattern synthesis for large antenna arrays is very important because of its wide applications. Several antenna array synthesis techniques for planar antenna array have been developed in the past years. In this paper, a hybrid method for solving antenna array pattern synthesis problem is introduced. The proposed method has three steps. Firstly, the iterative fast Fourier transforms (IFT) is used to generate a number of initial array excitations based on aim pattern. Then, the global optimization method differential evolution strategy (DES) is used to optimize these excitations based on initial excitations. After that, if the optimized pattern does not satisfy the goal, the simulated annealing (SA) method is applied to optimize the excitations until the goal is achieved or the maximum iteration is reached. Several simulation results show that the desired pattern can be effectively synthesized by using the proposed method.

show abstract

Optimal polarised pattern synthesis of wideband arrays via convex optimisation

Cited by 24 publications

References 37 publications

Synthesis of Nonuniformly Spaced Linear Arrays With Frequency-Invariant Patterns by the Generalized Matrix Pencil Methods

Synthesis of Nonuniformly Spaced Linear Arrays With Frequency-Invariant Patterns by the Generalized Matrix Pencil Methods

Tri‐polarised antenna – a virtual rotatable dual‐polarised antenna used in polarised beampattern synthesis

A Pattern Synthesis Method for Large Planar Antenna Array

Contact Info

Product

Resources

About