Constant modulus waveform design for MIMO radar via manifold optimization

Hu, Jinfeng; Zhang, Weijian; Zhu, Haoming; Zhong, Kai; Xiong, Weijie; Wei, Zhiyong; Li, Yuzhi

doi:10.1016/j.sigpro.2021.108322

Cited by 15 publications

(6 citation statements)

References 45 publications

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“…First, set the initial RF switch selection vector as x = 1 ∈  3N ×1 , that is, all the RF switches are chosen. Subsequently, at each iteration, we successively calculate the objective function of (35) in the case that the j th RF switch is not used for j = 1, … , 3N . By comparing the results, the RF switch which makes the objective function of (35) minimum is out of use, and the corresponding entry of x is set to 0.…”

Section: : Initialisementioning

confidence: 99%

“…Subsequently, at each iteration, we successively calculate the objective function of (35) in the case that the j th RF switch is not used for j = 1, … , 3N . By comparing the results, the RF switch which makes the objective function of (35) minimum is out of use, and the corresponding entry of x is set to 0. After repeating the above iterative process 3N − K times, the optimal x that contains K ones and 3N − K zeros is finally gained.…”

Section: : Initialisementioning

confidence: 99%

“…However, these methods are mainly based on the high signal to noise ratio (SNR), causing them not applicable to the low SNR scenario, like satellite navigation and communications. Recently, the research on array reconfiguration has also extended to other applications, such as multiple-input multiple-output (MIMO) [33][34][35].…”

Section: Introductionmentioning

confidence: 99%

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Reconfigurable adaptive polarisation‐sensitive array optimisation for multiple interferences elimination in satellite communication

et al. 2022

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Polarisation‐sensitive array (PSA) has earned extensive attention in satellite communication owing to excellent anti‐interference performance. Nevertheless, the configuration of traditional PSA where each polarised antenna requires multiple radio frequency (RF) front‐ends makes it much more costly in terms of hardware and software for system design. In this paper, resorting to RF switches, a novel reconfigurable PSA optimisation technique is developed that utilises fewer RF front‐ends, which can considerably decrease computational expenditure and achieve high anti‐jamming performance. An RF switch switching (RFSS) scheme is devised to guide the implementation of PSA reconfiguration. To accurately demonstrate the effect of the array configuration on interference rejection performance, the polarisation‐spatial subspace correlation coefficient (PSC) is presented. Then the relationship between the optimal signal to interference plus noise ratio (SINR) and the PSC based on adaptive processing is formulated. Aiming to acquire the optimal reconstructed PSA outputting the maximum SINR, the mathematical model of the PSA reconfiguration problem is established. Subsequently, two optimisation methods are provided to address the problem efficiently, thereby gaining the optimal configuration of the reconstructed PSA and implementing the reconfiguration by RF switches. Numerical and experimental simulations verify the correctness and reliability of the developed scheme and approaches.

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Section: : Initialisementioning

confidence: 99%

Section: : Initialisementioning

confidence: 99%

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Reconfigurable adaptive polarisation‐sensitive array optimisation for multiple interferences elimination in satellite communication

et al. 2022

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“…On the other hand, the robustness of RAB is enhanced by introducing additional objective functions or constraints, such as the positive semi-definiteness (PSD) of the signalplus-noise covariance matrix [12], the norm of steering vectors [13][14][15][16], and the stochastic distortionless response [17,18]. Several extensions of the standard Capon beamformer (SCB) have been provided that improve the robustness to uncertain steering vectors.…”

Section: Introductionmentioning

confidence: 99%

Robust Low-Sidelobe Transmit Beamforming under Peak-to-Average-Power Ratio Constraint

Cai

Chu

Ding

et al. 2023

Sensors

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Transmit beamforming (TBF) provides the capability of focusing illuminating power in the desired directions while reducing the emitting power in undesired directions. It is significantly important in low-altitude and slow-speed small (LSS) radar, which usually suffers from heavy clutter and rapidly changing interference on the near-ground side. Due to nonideal factors such as an inaccurate target direction and array gain-phase error, the robustness of TBF is also necessary to consider in practical applications. In this paper, we provide a robust TBF method that enables sidelobe control in preset regions and possesses high transmit efficiency in virtue of the peak-to-average-power ratio (PAPR) constraint on transmit weights. To achieve robustness, a norm upper bound is introduced to limit the fluctuation of transmit weights, and the steering vector mismatch is also considered by using a spherical uncertainty set surrounding the nominal steering vector. As the proposed robust TBF is nonconvex because of the nonconvexity of both the objective function and constraints, we translate it into a series of convex subproblems via several kinds of convex relaxation schemes. In particular, based on the special structure of the objective function and constraints, the translation of the nonconvex problem into a tractable SOCP problem is realized by using the combination of the triangle inequality and Cauchy–Schwartz inequality. Numerical results demonstrate the improvement in the efficiency and robustness of the proposed TBF method in comparison with traditional TBF methods.

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“…A key issue for algorithm design is the highly non-convex unit modulus constraint induced by the phase shifter [4]- [7]. Various methods have been developed to tackle the unit modulus constraints, including, e.g., semi-definite relaxation (SDR) [8]- [12], manifold optimization (Manopt) based algorithms [10], [13]- [15], etc. These approaches produce continuous phase configurations that take any value within [0, 2π).…”

Section: Introductionmentioning

confidence: 99%

Optimal Discrete Beamforming of Reconfigurable Intelligent Surface

Xiong¹,

Dong²,

Mi³

et al. 2022

Preprint

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Utilizing reconfigurable intelligent surfaces (RISs) for communication service usually leads to non-convex optimization problems. Existing methods either suffer from significant scalability issues or lead to local optima. This paper focuses on optimal beamforming in RIS-aided single input single output (SISO) communications. We formulate the discrete beamforming into a discrete product maximization problem, a fundamental yet unexplored problem. A highly efficient divide-and-sort (DaS) search framework is developed. The proposed approach is guaranteed to find global optima with linear search complexity, both in the number of discrete levels and the length of vectors. This approach is seen as particularly effective for large scale problems. Numerical and experimental studies about the effectiveness and speed of DaS are also presented. Extensive trails show that, for moderate resolution quantization, e.g., 4-bits and above, there seems to be no noticeable difference between continuous and discrete phase configuration.

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Constant modulus waveform design for MIMO radar via manifold optimization

Cited by 15 publications

References 45 publications

Reconfigurable adaptive polarisation‐sensitive array optimisation for multiple interferences elimination in satellite communication

Reconfigurable adaptive polarisation‐sensitive array optimisation for multiple interferences elimination in satellite communication

Robust Low-Sidelobe Transmit Beamforming under Peak-to-Average-Power Ratio Constraint

Optimal Discrete Beamforming of Reconfigurable Intelligent Surface

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