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

Shao, Xiaolang; Hu, Taiyang; Zhang, Jinyu; Li, Lei; Xiao, Man; Zhang, Xiao

doi:10.3390/s22031042

Cited by 4 publications

(4 citation statements)

References 29 publications

(72 reference statements)

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“…Table 6 provides the performance comparison of our method with other published works. Compared with the works presented in [ 39 , 41 , 42 ], it can be seen that the lowest PSLL can be achieved with the proposed approach under a large percentage of saved elements. Compared with the work presented in [ 35 ], the hardware complexity in this diagram is significantly reduced since only one mixer and one ADC are utilized.…”

Section: Numerical Resultsmentioning

confidence: 68%

“…The artificial bee colony (ABC) algorithm was adopted in [ 41 ] for sparse-fda to achieve a spatial-focused beampattern. An efficient beampattern synthesis approach was proposed in [ 42 ] via the matrix pencil method. Basically, in the transmit mode, the FDA beampattern is range-angle-time dependent, and the time-varying issue always exists.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Numerical Resultsmentioning

confidence: 68%

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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“…Secondly, predictions in the high-frequency band have been made using three prediction theories, such as the Prony method [21][22][23][24][25][26][27][28], MPM [29][30][31][32][33][34][35][36], and Rational Function based on the indirect calculation method in order to verify the reliability and validity of the prediction theories. In addition, three representative military aircraft were applied to confirm the possibility and validity of the RCS measurement results according to the aircraft type, and through this, a mutual comparison of the three theories was performed.…”

Section: Object Rcs [M 2 ]mentioning

confidence: 99%

RCS Prediction Using Prony Method in High-Frequency Band for Military Aircraft Models

Ahn

Koh

2022

Aerospace

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Obtaining Radar Cross Section (RCS) data, one of the essential parameters for aircraft design, generally takes a lot of time and cost. Measurement time and accuracy of measurement results may be affected depending on the RCS measurement method and environment. When it comes to the RCS measurement method, the direct approach, which measures RCS on a real item, is more accurate than the indirect approach, which is implemented through simulation. However, in consideration of balancing accuracy, time and cost, the indirect approach is more generally used due to its efficiency. In this paper, in order to find an optimized method for more improved prediction results of indirect approach in the high-frequency band, three prediction methods are proposed: the Prony method, the Matrix pencil method (MPM) and the Rational Function method. It is confirmed that the RCS prediction result utilizing the Prony method in the high-frequency band has the minimum error in the case of Prony and MPM Methods, which have not been utilized for RCS prediction in the high-frequency band, and the Rational function method with currently applicable cases are employed. The prediction methods are, respectively, applied to a model based on three military aircraft models such as Jet Plane, F-117 and Transport Plane, and its simulation is performed under identical conditions. The original data and the extrapolated data obtained from the methods are compared at a certain angle for each model, and the errors between the extrapolated data are also compared in order to verify the efficacy of the prediction methods.

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“…In [24], phase-only beamforming with continuous or discrete shifters is also solved by semidefinite relaxation. However, the computational cost of these methods is very high, particularly for large-scale arrays used in modern radar and communication systems [26][27][28]. Consequently, there is an urgent need to reduce their computational burden.…”

Section: Introductionmentioning

confidence: 99%

Fast Low-Sidelobe Pattern Synthesis Using the Symmetry of Array Geometry

Zhang,

Liu,

Zhou

et al. 2024

Sensors

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Array pattern synthesis with low sidelobe levels is widely used in practice. An effective way to incorporate sensor patterns in the design procedure is to use numerical optimization methods. However, the dimension of the optimization variables is very high for large-scale arrays, leading to high computational complexity. Fortunately, sensor arrays used in practice usually have symmetric structures that can be utilized to accelerate the optimization algorithms. This paper studies a fast pattern synthesis method by using the symmetry of array geometry. In this method, the problem of amplitude weighting is formulated as a second-order cone programming (SOCP) problem, in which the dynamic range of the weighting coefficients can also be taken into account. Then, by utilizing the symmetric property of array geometry, the dimension of the optimization problem as well as the number of constraints can be reduced significantly. As a consequence, the computational efficiency is greatly improved. Numerical experiments show that, for a uniform rectangular array (URA) with 1024 sensors, the computational efficiency is improved by a factor of 158, while for a uniform hexagonal array (UHA) with 1261 sensors, the improvement factor is 284.

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

Cited by 4 publications

References 29 publications

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

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

RCS Prediction Using Prony Method in High-Frequency Band for Military Aircraft Models

Fast Low-Sidelobe Pattern Synthesis Using the Symmetry of Array Geometry

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