Sum, Difference and Shaped Beam Pattern Synthesis by Non-Uniform Spacing and Phase Control

Abstract

A design procedure for the synthesis of non-uniformly spaced linear arrays is presented, which uses the Poisson sum expansion of the array factor introduced in the literature. By considering the nonzero phase term in the existent formula and using the appropriate line source pattern synthesis methods, a general design procedure is obtained to synthesize any type of pattern, such as sum, difference and shaped beams. This approach converts the nonlinear complex problem of pattern synthesis for non-uniformly spaced linear arrays to a simple problem, which makes it fast and easy to implement. Moreover, an extra optimization process is added to the synthesis procedure to improve final pattern and provide control on computed parameters.Index Terms-Linear arrays, non-uniformly spaced arrays.

Synthesis of planar continuous current sources with arbitrary shapes for generation of desired radiation patterns by methods of moments and least squares

“…Indeed, the CCSs could be indeed of practical use for the design of antenna arrays. The methods of design of antenna arrays by the discretisation of CCSs are discussed in various references such as [1,[17][18][19][20][21][27][28][29][30][31][32][33][34][35][36]. In this respect, since the proposed methods of this present study can be used for the synthesis of any planar CCS with an arbitrary shape and boundary, so the synthesised planar CCS by the proposed methods of this present study could be discretised and a discrete antenna array with an arbitrary geometrical shape could be eventually designed.…”

Low Sidelobe Wide Nulling Digital Beamforming for Large Planar Array Using Iterative FFT Techniques

“…The optimization approach often allows one to satisfy other constraints, such as minimizing, at the same time the sidelobe level to fully exploit the degrees of freedom offered by the weights. Adaptive interference nulling [6], global optimizations [7][8][9][10][11], convex optimization [12], and multilayer antenna structures [13,14] have been used to effectively suppress the sidelobes. The optimization approaches, however, are essentially iterative, which is time-consuming.…”

Thinning and Weighting of Planar/Conformal Arrays Considering Mutual Coupling Effects

“…In [4][5][6][7], low-sidelobe synthesis of large planar array antennas was completed by using iterative Fourier transforms. Sum, difference, and shaped beams of nonuniformly spaced linear arrays were obtained through Poisson sum expansion of the array factor in [8]. In recent years, stochastic-optimization algorithms, such as the ant colony optimization (ACO) [9], particle swarm optimization (PSO) [10,11], DEA [12], cat swarm algorithm [13][14][15], and genetic algorithm (GA) [16], have shown their excellent optimization capabilities and were extensively applied to the unequal-spacing array synthesis with the desired SLL.…”