Efficient Mathematical Method to Suppress Sidelobes and Sidebands in Time-Modulated Linear Arrays

Gassab, Oussama; Azrar, Arab; Dahimene, Abdelhakim; Bouguerra, Sara

doi:10.1109/lawp.2019.2903200

Cited by 9 publications

(11 citation statements)

References 16 publications

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“…With the 0.2°sampling interval of θ, the optimization process takes 2 iterations and 0.784 seconds. Under the condition that number of array elements and the array aperture are the same, the PSLL and PSBL optimized by proposed algorithm are −22.42 dB and −15.6 dB, respectively, which are lower than the values in [15]. e main band and the first sideband patterns, the histogram of the excitation amplitude of array elements, are shown in Figures 4 and 5, respectively.…”

Section: Side Lobe and Sideband Suppressionmentioning

confidence: 80%

“…Under the constraint that the main lobe pattern is consistent, two examples are presented in comparison with the results of pencil beam and flat top beam pattern obtained in [12,15] to demonstrate the effectiveness of the proposed algorithm in suppressing the PSBL and PSLL. In the first example, A linear array of 9element with initial equal spacing of 0.5λ is studied.…”

Section: Side Lobe and Sideband Suppressionmentioning

confidence: 99%

“…In the first example, A linear array of 9element with initial equal spacing of 0.5λ is studied. In the case that the main lobe pattern is consistent with the one in [15], the objective is to minimize the PSLL and PSBL. Similar simulations have been previously carried out by the efficient mathematical method (EMM) in [15].…”

Section: Side Lobe and Sideband Suppressionmentioning

confidence: 99%

“…In the case that the main lobe pattern is consistent with the one in [15], the objective is to minimize the PSLL and PSBL. Similar simulations have been previously carried out by the efficient mathematical method (EMM) in [15]. e optimized PSLL and PSBL were −22 dB and −15.2 dB, respectively.…”

Section: Side Lobe and Sideband Suppressionmentioning

confidence: 99%

“…e deterministic numerical methods are widely used with stable optimization solutions. Gassab [15] proposed an efficient mathematical method for pattern synthesis of timemodulated linear array and obtained lower side lobe and sideband than the antenna array optimized by differential evolution algorithm. However, only the switch-on duration time of array element was optimized, while the position of an array element was fixed.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Pattern Synthesis of Time-Modulated Sparse Array by an OPM-CVX Algorithm

Liang

Jiang

Liu

et al. 2020

Mathematical Problems in Engineering

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This paper addresses the constrained multiobjective optimization problem of time-modulated sparse arrays. The synthesis objective is to find an optimal element arrangement and associated excitation strategy of sparse arrays, which realize the balance of radiation power and sideband suppression performance with minimum number of elements, and suppress side lobe level simultaneously. A novel hybrid algorithm based on orthogonal perturbation method and convex optimization (OPM-CVX) for the synthesis of time-modulated sparse antenna array is presented in this paper. In order to satisfy the main lobe beamforming and side lobe suppression of sparse arrays, the proposed method optimizes element positions with minimum array numbers by orthogonal perturbation method and optimizes excitations of array element with dynamic range ratio constraint by convex optimization. Furthermore, a trapezoidal pulse time-modulated switching function is proposed to find the balance of radiation power and sideband suppression performance. The numerical results indicate that the proposed algorithm can be an effective approach for synthesis problems of time-modulated sparse arrays.

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Section: Side Lobe and Sideband Suppressionmentioning

confidence: 80%

Section: Side Lobe and Sideband Suppressionmentioning

confidence: 99%

Section: Side Lobe and Sideband Suppressionmentioning

confidence: 99%

Section: Side Lobe and Sideband Suppressionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Pattern Synthesis of Time-Modulated Sparse Array by an OPM-CVX Algorithm

Liang

Jiang

Liu

et al. 2020

Mathematical Problems in Engineering

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Time‐modulated multibeam steered antenna array synthesis with optimally designed switching sequence

Chakraborty

Ram

Mandal

2021

Int J Communication

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Summary Steering the radiation pattern of an antenna array towards the desired spatial angle is beneficial for modern‐age communication systems. The generation of multiple steered patterns by enhancing the first‐order harmonics of a time‐modulated antenna array (TMAA) with controlled radiation features is proposed in this paper. Suitable switching sequences are designed to realize an efficient electronic beam steering with these simultaneously generated narrow directional beam patterns. TMAAs are considered the time‐domain counterparts of phased arrays where high‐speed switches are used to achieve a weighted response by periodically modulating the array elements instead of attenuators or phase shifters. This periodic modulation inherently produces spurious harmonic patterns generally considered as power loss in unintended directions. The beam steering aimed in this paper is accomplished by exploiting the first‐order harmonic patterns in some specific directions keeping the fundamental pattern unaltered. The intended first positive and first negative harmonic components of the TMAA are utilized as steered multibeam patterns, whereas all the remaining harmonic components are suppressed to improve the efficiency of the array. To achieve this, suitable switching sequences are designed by optimizing the ON‐time duration and switching intervals of the elements with a wavelet mutation‐based particle swarm optimization (PSOWM). 16‐element linear TMAA is used to generate the desired patterns with low sidelobe levels (SLLs) for enhanced performance. Numerical results obtained for spatially independent steered patterns are presented and compared with the state‐of‐the‐art literature results.

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