Synthesis of Sparse Planar Arrays With Multiple Patterns by the Generalized Matrix Enhancement and Matrix Pencil

Gong, Yu; Xiao, Shaoqiu; Wang, Bing‐Zhong

doi:10.1109/tap.2020.3016484

Cited by 26 publications

(11 citation statements)

References 43 publications

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“…The other methods include the orthogonal techniques based on the ultra-spherical polynomials 16 , 17 , iterative FFT via virtual active element pattern expansion 18 , and matrix pencil method (MPM) 19 , eigenvector decomposition 20 . Despite exciting aspects of these methods, they are typically complex and don’t have the reduction capability of the number of array elements.…”

Section: Introductionmentioning

confidence: 99%

Synthesis of unequally-spaced arrays using the fractional Fourier series

Boozari

Khalaj‐Amirhosseini

2022

Sci Rep

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This paper introduces an algebraic method to synthesize the radiation pattern of unequally-spaced arrays. In this method, first, the characteristic matrix, containing the sampled data of the desired pattern, is established. Then, the fractional Fourier series is calculated using the distinct eigenvalues and eigenvectors of the characteristic matrix. In the following, the location of the array elements is estimated using the eigenvalues by considering the mutual coupling effect. The magnitude and phase of the excitation currents are computed using the least square method. Also, it is proved that the number of elements can be reduced using the eigenvalue decomposition and differential spectrum method. Several important patterns are investigated to verify the performance of the proposed method, and then a comprehensive discussion is expressed for all cases. It is shown that using the proposed method, a greater average spacing is achieved which allows bettering mitigate the phenomenon of mutual coupling. Furthermore, the various results show that the proposed method offers a better approximation of the desired array factor especially for beam-shaped patterns. This method also has a noble ability to reduce the number of array elements compared to a generic reference array, while still retaining a good ability to approximate the desired pattern fairly faithfully.

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Section: Introductionmentioning

confidence: 99%

Synthesis of unequally-spaced arrays using the fractional Fourier series

Boozari

Khalaj‐Amirhosseini

2022

Sci Rep

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“…In order to reduce the element number as well as the effect of mutual coupling while achieving the desired radiation performance so as to decrease both the hardware and software costs, the aperiodic arrays with unequally-spaced elements [8] have been proposed, and it is exactly the reason that sparse array has been continuously focused on in the past decade [9][10][11][12][13][14][15][16][17][18]. Compared with thinning array, sparse array has more degrees of freedom which helps for further reducing the total number of elements since the radiating elements are randomly separated instead of being confined to regular lattices with 0.5λ spacing.…”

Section: Introductionmentioning

confidence: 99%

“…Noniterative MPM has been successfully introduced to synthesize linear sparse arrays for overcoming these drawbacks in [10], which first focused on the problem of reconstructing a desired pattern with the minimum number of elements. Due to its effectiveness, MPM has been extended to synthesizing shapedbeam patterns [15], multiple patterns [16], and sparse planar arrays [17,18], respectively. It performs a complete optimization on the number of elements, element weights, as well as the element positions based on the constructed Hankel matrix.…”

Section: Introductionmentioning

confidence: 99%

An Off-grid Compressed Sensing Method for Synthesis of Maximally Sparse Arrays with Arbitrary Beampatterns

Zhao¹,

Zhang²

2022

PIER C

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Most of the works on sparse array synthesizing via the compressed sensing (CS) approach assume that the active elements exactly lie on the predefined grids. In fact, grid-mismatch error is unavoidable when an array aperture is discretized into grids, and the synthesizing results largely depend on the density of the grids. To overcome this limitation, an innovative off-grid CS approach is proposed for jointly estimating the excitations and positions of array elements. The synthesis problem is specifically formulated using a ridge regression model based on dynamic grids. The candidate positions of elements are treated as variables rather than constants predefined by discretization. Numerical experiments are conducted to validate the effectiveness and flexibility of the proposed method in realizing several maximally sparse arrays meeting the targeted patterns, i.e., the focused and shaped beam patterns of 1-D and 2-D arrays.

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“…Moreover, poles extracted from target scattered echoes are very beneficial to target recognition. Poles are mainly related to the size and shape of the target and thus are not sensitive to the target relative attitude and radar polarization [9,10]. Therefore, poles are considered as robust and effective for the recognition of stealth targets [11].…”

Section: Introductionmentioning

confidence: 99%

Pole Extraction of Radar Target in Resonant Region Based on Sliding-Window Matrix Pencil Method

Deng

Zhang

2022

Wireless Communications and Mobile Computing

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In the complex battlefield environment, stealth radar target recognition has been paid increasing attentions. Previous studies have demonstrated that the stealth target can be identified well by pole extraction based on matrix pencil method (MPM). However, MPM suffers from the difficulty in setting model order and the time-domain resonant response aliasing problem. This paper proposes a new sliding-window matrix pencil method (SW-MPM) based on dynamic order setting and sliding window. Dynamic order setting scheme is used to overcome the difficulty of setting the order in matrix pencil method, while sliding window can avoid the aliasing problem of time-domain resonant response to some extent. The time-domain scattering data used in SW-MPM are obtained by inverse Fourier transform of the frequency domain scattering data in the resonance region. Taking typical stealth aircraft identification as example, the simulation results verify that the proposed method may extract more number of poles with better azimuth consistency, which is beneficial to improve the accuracy of pole-based target identification.

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Synthesis of Sparse Planar Arrays With Multiple Patterns by the Generalized Matrix Enhancement and Matrix Pencil

Cited by 26 publications

References 43 publications

Synthesis of unequally-spaced arrays using the fractional Fourier series

Synthesis of unequally-spaced arrays using the fractional Fourier series

An Off-grid Compressed Sensing Method for Synthesis of Maximally Sparse Arrays with Arbitrary Beampatterns

Pole Extraction of Radar Target in Resonant Region Based on Sliding-Window Matrix Pencil Method

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