scholarly journals Efficient Low-PAR Waveform Design Method for Extended Target Estimation Based on Information Theory in Cognitive Radar

Entropy ◽  
2019 ◽  
Vol 21 (3) ◽  
pp. 261 ◽  
Author(s):  
Tianduo Hao ◽  
Chen Cui ◽  
Yang Gong
Keyword(s):  
Optimization Problem ◽  
Nearest Neighbor ◽  
Design Method ◽  
Average Power ◽  
Waveform Design ◽  
Cognitive Radar ◽  
Extended Target ◽  
Convex Problem ◽  
The Matrix ◽  
Matrix Variable

This paper addresses the waveform design problem of cognitive radar for extended target estimation in the presence of signal-dependent clutter, subject to a peak-to-average power ratio (PAR) constraint. Owing to this kind of constraint and the convolution operation of the waveform in the time domain, the formulated optimization problem for maximizing the mutual information (MI) between the target and the received signal is a complex non-convex problem. To this end, an efficient waveform design method based on minimization–maximization (MM) technique is proposed. First, by using the MM approach, the original non-convex problem is converted to a convex problem concerning the matrix variable. Then a trick is used for replacing the matrix variable with the vector variable by utilizing the properties of the Toeplitz matrix. Based on this, the optimization problem can be solved efficiently combined with the nearest neighbor method. Finally, an acceleration scheme is used to improve the convergence speed of the proposed method. The simulation results illustrate that the proposed method is superior to the existing methods in terms of estimation performance when designing the constrained waveform.

scholarly journals Radar Waveform Design for Extended Target Recognition under Detection Constraints

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Huadong Meng ◽  
Yimin Wei ◽  
Xuhua Gong ◽  
Yimin Liu ◽  
Xiqin Wang
Keyword(s):  
Optimization Problem ◽  
Target Recognition ◽  
Signal To Noise Ratio ◽  
Recognition Performance ◽  
Waveform Design ◽  
Code Design ◽  
Quadratic Optimization Problem ◽  
Important Constraint ◽  
Extended Target ◽  
Gaussian Disturbance

We address the problem of radar phase-coded waveform design for extended target recognition in the presence of colored Gaussian disturbance. Phase-coded waveforms are selected since they can fully exploit the transmit power with sufficient variability. An important constraint, target detection performance, is considered to meet the practical requirements. The waveform is designed to achieve maximum recognition performance under a control on the achievable signal-to-noise ratio (SNR) of every possible target hypothesis. We formulate the code design in terms of a nonconvex, NP-hard quadratic optimization problem in the cases of both continuous and discrete phases. Techniques based on semidefinite relaxation (SDR) and randomization are proposed to approximate the optimal solutions. Simulation results show that the recognition performance and the detection requirements are well balanced and accurate approximations are achieved.

scholarly journals Multi-Target Robust Waveform Design Based on Harmonic Variance and Mutual Information

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Bin Wang ◽  
Shuangqi Yu
Keyword(s):  
Mutual Information ◽  
Design Method ◽  
Waveform Design ◽  
Upper And Lower Bounds ◽  
Cognitive Radar ◽  
Multiple Targets ◽  
Uncertainty Range ◽  
Target Spectrum ◽  
Definition Of ◽  
Transmitted Waveform

Cognitive radar is an intelligent radar system, and adaptive waveform design is one of the core problems in cognitive radar research. In the previous studies, it is assumed that the prior information of the target is known, and the definition of target spectrum variance has not changed. In this paper, we study on robust waveform design problem in multiple targets scene. We hope that the upper and lower bounds of the uncertainty range of robustness are more close to the actual situation, and establish a finite time random target signal model based on mutual information (MI). On the basis of the optimal transmitted waveform and robust waveform based on MI, we redefine the target spectrum variance as harmonic variance, and propose a novel robust waveform design method based on harmonic variance and MI. We compare its performance with robust waveform based on original variance. Simulation results show that, in the situation of multiple targets, compared to the original variance, the MI lifting rate of robust waveform based on harmonic variance relative to the optimal transmitted waveform in the uncertainty range has great improvement. In certain circumstances, robust waveform based on harmonic variance and MI is more suitable for more targets.

scholarly journals Transmitted Waveform Design Based on Iterative Methods

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Bin Wang ◽  
Jinkuan Wang ◽  
Xin Song ◽  
Fengming Xin
Keyword(s):  
Mutual Information ◽  
Iterative Methods ◽  
Interior Point ◽  
Interior Point Method ◽  
Optimization Problem ◽  
Waveform Design ◽  
Design Criterion ◽  
Cognitive Radar ◽  
Simulation Results ◽  
Transmitted Waveform

In intelligent radar, it is an important problem for the transmitted waveform to adapt to the environment in which radar works. In this paper, we propose mutual information model of adaptive waveform design, which can convert the problem of adaptive waveform design into the problem of optimization. We consider two situations of no clutter and clutter and use Newton method and interior point method to solve the optimization problem. Then we can draw the design criterion for the transmitted waveform in cognitive radar and get a greater mutual information from the simulation results. Finally, the whole paper is summarized.

scholarly journals Waveform Design for Improved Detection of Extended Targets in Sea Clutter

Sensors ◽  
2019 ◽  
Vol 19 (18) ◽  
pp. 3957
Author(s):  
Linke Zhang ◽  
Na Wei ◽  
Xuhao Du
Keyword(s):  
Closed Loop ◽  
Waveform Design ◽  
Optimization Criterion ◽  
Clutter Suppression ◽  
Sea Clutter ◽  
Cognitive Radar ◽  
Extended Target ◽  
Loop Feedback ◽  
Closed Loop Feedback ◽  
Transmitted Waveform

Adaptive waveform design for cognitive radar in the case of extended target detection under compound-Gaussian (CG) sea clutter is addressed. Based on the CG characteristics of sea clutter, the texture component is employed to characterize the clutter ensemble during each closed-loop feedback and its estimation can be used for the next transmitted waveform design. The resulting waveform design problem is formulated according to the following optimization criterion: maximization of the output signal-to-interference-plus-noise ratio (SINR) for sea clutter suppression, and imposing a further constraint on sidelobes level of the waveform autocorrelation outputs for decreasing the false alarm rate. Numerical results demonstrate the effectiveness of this approach.

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