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Identifiability analysis for array shape self-calibration in colocated multiple-input multiple-output radar using Cramer-Rao bound

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IET SIGNAL PROCESSING 2016年第1期10卷 81-89页

作者： Zhang, Ning Tang, Jun Wan, Shuang Tsinghua Univ Dept Elect Engn Beijing 100084 Peoples R China

In this study, parameter identifiability in array shape self-calibration in colocated multiple-input multiple-output radar is addressed under a deterministic framework. In contrast to the random model used in the previous analysis, some distinct identifiability conditions are established through deriving and then analysing the Cramer-Rao bound on self-calibration accuracy of antenna positions using far-field targets whose directions of arrival and scattering coefficients are initially unknown. It is proved that at least three non-collinear targets are needed to precisely self-calibrate the positions of antennas of arbitrary geometry when there exist a position reference and a direction reference. The sole exception is an actually linear array for which self-calibration is impossible.

关键词： MIMO radar linear antenna arrays radar antennas calibration parameter estimation Cramer-Rao bound parameter identifiability analysis random model linear antenna array shape self-calibration far field target direction of arrival scattering coefficient arbitrary geometry position reference direction reference colocated multiple-input multiple-output radar MIMO radar

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Angle and Range Unambiguous Estimation with Nested Frequency Diverse Array MIMO radars

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REMOTE SENSING 2025年第3期17卷 446-446页

作者： Wang, Zhengxi Li, Ximin Zhu, Shengqi Wei, Fa Liu, Congfeng Xidian Univ Natl Key Lab Radar Signal Proc Xian 710071 Peoples R China Xidian Univ Key Lab Elect Informat Countermeasure & Simulat Te Minist Educ Xian 710071 Peoples R China

This paper proposes an unambiguous method for joint angle and range estimation in colocated multiple-input multiple-output (MIMO) radar using the nested frequency diverse array (NFDA). Unlike a conventional phased array (PA), the transmission beampattern of FDA-MIMO radar depends not only on angle but also on range, which enables the precise identification of ambiguous regions in the two-dimensional frequency space. As a result, we can simultaneously estimate the angle and range of targets using FDA-MIMO radar, even when range ambiguity exists. By employing a nested array configuration, the degrees of freedom (DOFs) of the FDA are expanded. This expansion leads to improved accuracy in parameter estimation and enables a greater number of identifiable targets. In addition, the Cram & eacute;r-Rao lower bound (CRLB) and the algorithm complexity are obtained to facilitate performance analysis. The simulation outcomes are presented to showcase the superior performance of the suggested approach.

关键词： nested frequency diverse array colocated multiple-input multiple-output radar angle-range unambiguous estimation Cram & eacute r-Rao lower bound

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Transmit waveform and receive filter design for multiple-input multiple-output radar with one-bit digital-to-analogue converters

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IET SIGNAL PROCESSING 2022年第7期16卷 873-881页

作者： Wan, Huan Quan, Zhi Liao, Bin Shenzhen Univ Coll Elect & Informat Engn Guangdong Key Lab Intelligent Informat Proc Shenzhen 518060 Peoples R China Shenzhen Polytech Sch Artificial Intelligence Shenzhen Peoples R China

In this paper, we investigate the joint design of transmit waveform and receive filter for colocated multiple-input multiple-output radar equipped with one-bit digital-to-analogue converters (DACs). The problem is formulated as maximising the output signal-to-interference-plus-noise ratio in the presence of signal-dependent interferences, subject to a discrete constraint imposed by the waveform quantised with one-bit DACs. To cope with the challenging non-convex problem, an alternating maximisation framework is developed to optimise the transmit waveform and receive filter vectors in an iterative manner. More specifically, for a given transmit waveform vector, the analytical expression of the receive filter vector is first derived. Then, by fixing the receive filter, a biconvex relaxation method is employed to tackle the non-convex problem with respect to the transmit waveform vector. The performance of the proposed approach is demonstrated by numerical simulations in different circumstances.

关键词： filter design filter vector receive filter design MIMO radar colocated multiple-input multiple-output radar convex programming iterative methods transmit waveform vector output signal-to-interference-plus-noise ratio concave programming iterative manner numerical simulations discrete constraint digital-analogue conversion one-bit digital-to-analogue converters alternating maximisation framework one-bit DAC biconvex relaxation method signal-dependent interferences nonconvex problem

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Signal design based on post-detection SINR for MIMO radar in the presence of signal-dependent interference

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IET radar SONAR AND NAVIGATION 2022年第1期16卷 76-90页

作者： Azarang, Marzieh Derakhtian, Mostafa Sheikhi, Abbas Shiraz Univ Sch Elect & Comp Engn Shiraz Iran

In this study, the target detection and signal design problems in the presence of signal-dependent interference for a colocated multiple-input multiple-output (MIMO) radar employing a space-(slow) time transmit signal are addressed. Due to the large dimension of the clutter covariance matrix (CCM) in MIMO radars, the Kronecker form of the CCM is exploited to derive a Rao-based detector, which does not require the secondary data. According to the numerical results, the proposed detector considerably outperforms its competitors. Additionally, by tackling a non-convex sum of ratio problem, a low-complexity algorithm is devised to maximise the post-detection signal-to-interference-plus-noise ratio (SINR) under constant modulus and similarity constraints. Finally, using the simulation results, the effectiveness of the designed signal on the system performance is highlighted.

关键词： clutter covariance matrix signal design problem nonconvex sum of ratio problem post-detection SINR radar interference MIMO radar colocated multiple-input multiple-output radar concave programming target detection radar signal processing signal-dependent interference object detection Rao-based detector CCM post-detection signal-to-interference-plus-noise ratio space-time transmit signal signal design radar detection covariance matrices

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Low-complexity ESPRIT-based DOA estimation for colocated MIMO radar using reduced-dimension transformation

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ELECTRONICS LETTERS 2011年第4期47卷 283-+页

作者： Zhang, X. Xu, D. Nanjing Univ Aeronaut & Astronaut Dept Elect Engn Nanjing 210016 Peoples R China

Direction of arrival (DOA) estimation for colocated multiple-input multiple-output (MIMO) radar is considered. An estimation of signal parameters via rotational invariance techniques (ESPRIT)-based DOA estimation for the MIMO radar using reduced-dimension transfomation is proposed to reduce the complexity. The proposed algorithm has very close angle estimation performance to conventional ESPRIT;also it has slightly better performance than conventional ESPRIT for low SNR. Simulation results verify the usefulness of the proposed algorithm.

关键词： MIMO radar colocated MIMO radar colocated multiple-input multiple-output radar communication complexity direction of arrival estimation direction-of-arrival estimation low-complexity ESPRIT-based DOA estimation reduced-dimension transformation rotational invariance technique signal parameter estimation

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A Novel Method Based on Sequential Unconstrained Programming for Transmit Beamforming in colocated MIMO radars

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IEEE ACCESS 2024年 12卷 150284-150294页

作者： Faghand, Elahe Guerzoni, Giorgio Mehrshahi, Esfandiar Vitetta, Giorgio Matteo Karimian, Shokrollah Univ Modena & Reggio Emilia Dept Engn Enzo Ferrari I-41124 Modena Italy Shahid Beheshti Univ Fac Elect Engn Tehran *** Iran

The design of the waveform covariance matrix for beampattern matching in colocated multiple-input multiple-output (MIMO) radars represents a challenging problem because of its large number of variables and the presence of multiple constraints. The solutions available in the technical literature are computationally intensive and usually rely on iterative procedures that minimize a constrained mean square error (MSE). In this manuscript, a new computationally efficient method for beampattern matching design is proposed. This method, called sequential weight-shift unconstrained programming (SWSUP), allows to compute the covariance matrix of the probing signals achieving a desired beampattern at the transmit side of a colocated MIMO radar. Its derivation is based on the idea of reformulating the beampattern matching problem in an unconstrained form that can be tackled by breaking it into two subproblems. The first subproblem admits a closed-form solution, whose accuracy, in terms of MSE, is comparable to provided by other known methods. The solution of the second subproblem, instead, is evaluated through an iterative procedure and allows to achieve further improvement. Our numerical results evidence that the SWSUP method achieves precise beampattern matching with a substantially lower computational effort and computing time with respect to various existing alternatives.

关键词： colocated multiple-input multiple-output radar covariance matrix design transmit beampattern matching unconstrained programming colocated multiple-input multiple-output radar covariance matrix design transmit beampattern matching unconstrained programming

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