A Dolph-Chebyshev approach to the synthesis of array patterns for uniform circular arrays

Lau, Buon Kiong; Leung, Yee Hong

doi:10.1109/iscas.2000.857042

Cited by 50 publications

(42 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In practice, by approximating the continuous excitation function for obtaining the desired pattern by a finite number of elements, if the aperture excitation function contains the total of phase modes P , then the antenna array must contain at least 2P elements in order to reproduce the same desired pattern [9]. So in this, the requirement is 7 ≤ 10.2428 ≤ (11,12,13,14). So for 7 phase modes and 11 elements, the radiation pattern is computed according to the proposed method as shown in Figure 4.…”

Section: Case 1: 7 Phase Modes (P = 7)mentioning

confidence: 99%

“…The radius of an circular array for 8 phase modes is determined as 0.8208λ, and the possible requirement of elements to synthesize the radiation pattern based on the standard limit given in Equation (12) is 8 ≤ 11.3092 ≤ (12,13,14,15,16). The radiation plot for 8 phase modes with 12 elements is shown in Figure 7.…”

Section: Case 2: 8 Phase Modes (P = 8)mentioning

confidence: 99%

“…For a circular array with 9 phase modes, the suitable radius is determined as r = 0.8555λ, and the standard limit for minimum requirement of elements is 9 ≤ 11.74 ≤ (12,13,14,15,16,17,18). Here directly consider a circular array of 9 phase modes and 15 elements in order to evaluate the requirement of elements according to the proposed analysis, i.e., N = 2(P − 1).…”

Section: Case 3: 9 Phase Modes (P = 9)mentioning

confidence: 99%

“…The computation and synthesis of current distributions for Dolph-Chebyshev patterns for linear arrays were further developed by others [11][12][13]. The synthesis of a circular array with isotropic elements are documented in [14,15,[23][24][25][26]. Some special cases of directive elements were discussed in [16,17].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A Fourier Phase Mode Approach for Chebyshev Pattern Synthesis in Circular Antenna Array

Ganesh¹,

Subhashini²

2017

PIER M

View full text Add to dashboard Cite

Abstract-In this article, a novel phase mode analysis for a circular antenna array is discussed. This proposition experiments on the synthesis of Dolph-Chebyshev pattern for circular geometry employing directional element 1 + cos(φ). Here, for pattern synthesis a modified uniform sampling method is proposed, and for investigation of continuous current excitation in a circular array, a Fourier phasemode approach is proposed. The synthesis process permits generation of complex weights for each element to produce the Chebyshev pattern with a desired beamwidth or Side Lobe Level (SLL). The radius is a key factor for a circular geometry and also decides the pattern synthesis, which is determined by using the phase mode concept. Also, this article contributes to the formulation of a mathematical relationship between the number of phase modes (P ) and the number of antenna elements in the array (N ) such as N = 2(P − 1).

show abstract

Section: Case 1: 7 Phase Modes (P = 7)mentioning

confidence: 99%

Section: Case 2: 8 Phase Modes (P = 8)mentioning

confidence: 99%

Section: Case 3: 9 Phase Modes (P = 9)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Fourier Phase Mode Approach for Chebyshev Pattern Synthesis in Circular Antenna Array

Ganesh¹,

Subhashini²

2017

PIER M

View full text Add to dashboard Cite

show abstract

“…In [14], we use the Davies transformation to design DolphChebyshev beampatterns for UCAs, while in [2], [15] and [16], it is used to enable DOA estimation and optimum beamforming for UCAs in a correlated signal environment.…”

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.

View full text Add to dashboard Cite

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).

show abstract

An improved multiobjective evolutionary algorithm based on decomposition approach and its application in antenna array beam pattern synthesis

Liang

Fang

et al. 2021

Int J Numerical Modelling

View full text Add to dashboard Cite

Antenna arrays can enhance the performance and reduce the overhead of the wireless communication systems. However, the beam pattern synthesis of antenna arrays are difficult problems since the optimization properties are usually trade‐offs that affect each other. In this paper, we formulate a multiobjective beam pattern optimization problem (MBPOP) to simultaneously reduce the maximum sidelobe level (SLL) and achieve the nulls of the antenna array beam pattern. The multiobjective evolutionary algorithm based on decomposition (MOEA/D) is a general and effective algorithm to solve the MOPs. However, it may be easy to lose population diversity and converge to local optimum. To overcome the issues above, we propose an improved MOEA/D (IMOEA/D) to deal with the formulated MBPOP. IMOEA/D introduces the normal distribution crossover operator (NDX), Lévy flight strategy and Euclidean distance‐based solution selection mechanism to enhance the performance of conventional MOEA/D to make it more suitable to solve the formulated MBPOP. Experiments are conducted and the results indicate that the proposed IMOEA/D has a better performance in terms of the convergence rate and population diversity compared to other algorithms for solving the formulated MBPOP.

show abstract

A Dolph-Chebyshev approach to the synthesis of array patterns for uniform circular arrays

Cited by 50 publications

References 11 publications

A Fourier Phase Mode Approach for Chebyshev Pattern Synthesis in Circular Antenna Array

A Fourier Phase Mode Approach for Chebyshev Pattern Synthesis in Circular Antenna Array

Transformations for nonideal uniform circular arrays operating in correlated signal environments

An improved multiobjective evolutionary algorithm based on decomposition approach and its application in antenna array beam pattern synthesis

Contact Info

Product

Resources

About