A Group-Sparse Compressed Sensing Approach for Thinning Multi-Carrier Frequency Diverse Arrays

El‐Khamy, Said E.; Korany, Noha O.; Abdelhay, Magdy A.

doi:10.23919/ursi-emts.2019.8931503

Cited by 7 publications

(5 citation statements)

References 9 publications

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“…Due to the introduction of frequency offsets, the pattern synthesis problem of the FDA becomes more complicated than traditional array pattern synthesis. In the currently reported works, global optimization or convex optimization techniques have been introduced to deal with this problem [ 23 , 24 , 25 ]. However, these methods require a time-consuming search or iterative process.…”

Section: Proposed Synthesis Methods For Sparse Fdamentioning

confidence: 99%

“…To address this issue, Yang et al proposed a sparse FDA design method, using the artificial bee colony (ABC) algorithm to jointly optimize the number, position, and frequency offset of antenna elements [ 23 ]. Using the convex optimization technique, a group sparse multicarrier FDA thinning method was presented in [ 24 ]. This method reduced the number of elements by turning off the antennas with very small and irrelevant weights.…”

Section: Introductionmentioning

confidence: 99%

“…For MCFDA, the array factor can be expressed as the product of the main cut plane of the pattern in the range and angle dimensions, and therefore we only need to consider two simple one-dimensional parameter estimation problems, which can be easily solved by matrix pencil (MP) method. Compared with the reported sparse FDA beampattern synthesis methods presented in [ 23 , 24 , 25 ], the advantages of the proposed algorithm can be summarized as (i) it is a non-iterative method and therefore computationally efficient, and (ii) the proposed method is more flexible in assigning element positions and frequency offsets, which are not restricted by the regular lattice. Numerical examples show that the proposed algorithm can accurately approximate the desired beampattern with a sparse FDA in a short time.…”

Section: Introductionmentioning

confidence: 99%

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Efficient Beampattern Synthesis for Sparse Frequency Diverse Array via Matrix Pencil Method

Shao

Zhang

et al. 2022

Sensors

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Due to the introduction of frequency offsets, the pattern synthesis problem of sparse Frequency diverse array (FDA) becomes more complicated than that of the phased array. A typical way to solve this problem is to use a global optimization algorithm, but this is usually time-consuming. In this paper, we propose an efficient non-iterative beampattern synthesis approach for sparse FDA. For a given reference pattern, which can be generated by other synthesis methods, we first sample it uniformly and construct the Hankel matrix with the sampled data. By low-rank processing, a low-rank approximation version of the Hankel matrix can then be obtained. Finally, the matrix enhancement and matrix pencil (MEMP) and matrix pencil (MP) methods are applied to estimate the antenna positions, frequency offsets, and excitations of the obtained array from the approximated matrix. Besides this, two typical FDA frameworks including multi-carrier FDA (MCFDA) and standard FDA (SFDA) are considered. Numerical simulation results prove that the proposed method outperforms the existing methods in terms of synthesis error, average runtime, and percentage of saving elements.

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Section: Proposed Synthesis Methods For Sparse Fdamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Efficient Beampattern Synthesis for Sparse Frequency Diverse Array via Matrix Pencil Method

Shao

Zhang

et al. 2022

Sensors

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“…In this paper, it is important to maintain the S-shaped beampattern to increase the SAR resolution and make several wanted nulls in range, which can not be realized by conventional phased array and the standard FDA. Thus, the common optimization technique is not the most proper solution to the problem encountered, although it is verified to be effective in many other cases [28], [29]. Fig.…”

Section: ) Casementioning

confidence: 99%

Antenna Beampattern With Range Null Control Using Weighted Frequency Diverse Array

et al. 2020

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The range-angle-dependent beampattern of frequency diverse array (FDA) makes it capable of dealing with range-dependent interference, which cannot be handled by conventional phased array. However, current publications pay more attention to the dot-shaped beam forming, which is not suitable for the rangedependent jamming signal suppression. To address this problem, this paper proposes a weight designing method to control the nulls distribution among range bins in the mainbeam. With the additional degrees of freedom provided by FDA, it is possible to flexibly adjust the positions and notch widths of the range nulls. The performance and effectiveness of the proposed weighted FDA are validated with numerical simulations. INDEX TERMS Antenna beampattern, interference suppression, frequency diverse array (FDA), rangeangle-dependent, range null control.

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“…In [ 39 ], a decoupled virtual two-dimensional sparse-fda beampattern was synthesized by jointly optimizing the frequency and array position where 40% of the elements were saved. An algorithm based on group sparse recovery and convex optimization was proposed for sparse multicarrier FDA in [ 40 ], where 25% of the elements were saved. The artificial bee colony (ABC) algorithm was adopted in [ 41 ] for sparse-fda to achieve a spatial-focused beampattern.…”

Section: Introductionmentioning

confidence: 99%

Transmit–Receive Sparse Synthesis of Linear Frequency Diverse Array in Range-Angle Space Using Genetic Algorithm

Huang

Wang

2023

Sensors

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Unlike conventional phased array (PA), frequency diversity array (FDA) can perform the beampattern synthesis not only in an angle dimension but also in a range dimension by introducing an additional frequency offset (FO) across the array aperture, thus greatly enhancing the beamforming flexibility of an array antenna. Nevertheless, an FDA with uniform inter-element spacing that consists of a huge number of elements is required when a high resolution is needed, which results in a high cost. To substantially reduce the cost while almost maintaining the antenna resolution, it is important to conduct a sparse synthesis of FDA. Under these circumstances, this paper investigated the transmit–receive beamforming of a sparse-fda in range and angle dimensions. In particular, the joint transmit–receive signal formula was first derived and analyzed to resolve the inherent time-varying characteristics of FDA based on a cost-effective signal processing diagram. In the sequel, the GA-based low sidelobe level (SLL) transmit–receive beamforming of the sparse-fda was proposed to generate a focused main lobe in a range-angle space, where the array element positions were incorporated into the optimization problem. Numerical results showed that 50% of the elements can be saved for the two linear FDAs with sinusoidally and logarithmically varying frequency offsets, respectively termed as sin-FO linear-FDA and log-FO linear-FDA, with only a less than 1 dB increment in SLL. The resultant SLLs are below −9.6 dB, and −12.9 dB for these two linear FDAs, respectively.

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A Group-Sparse Compressed Sensing Approach for Thinning Multi-Carrier Frequency Diverse Arrays

Cited by 7 publications

References 9 publications

Efficient Beampattern Synthesis for Sparse Frequency Diverse Array via Matrix Pencil Method

Efficient Beampattern Synthesis for Sparse Frequency Diverse Array via Matrix Pencil Method

Antenna Beampattern With Range Null Control Using Weighted Frequency Diverse Array

Transmit–Receive Sparse Synthesis of Linear Frequency Diverse Array in Range-Angle Space Using Genetic Algorithm

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