scholarly journals Adaptive Waveform Design for Multiple Radar Tasks Based on Constant Modulus Constraint

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Wang Bin ◽  
Yang Wenfang ◽  
Wang Jinkuan
Keyword(s):  
Intelligent System ◽  
Design Method ◽  
Waveform Design ◽  
Radar System ◽  
Channel Noise ◽  
Constant Modulus ◽  
Complex Environment ◽  
Cognitive Radar ◽  
Trade Offs ◽  
The Given

Cognitive radar is an intelligent system, and it can adaptively transmit waveforms to the complex environment. The intelligent radar system should be able to provide different trade-offs among a variety of performance objectives. In this paper, we investigate the mutual information (MI) in signal-dependent interference and channel noise. We propose a waveform design method which can efficiently synthesize waveforms and provide a trade-off between estimation performance and detection performance. After obtaining a local optimal waveform, we apply the technique of generating a constant modulus signal with the given Fourier transform magnitude to the waveform. Finally we obtain a waveform that has constant modulus property.

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 Constant-Modulus-Waveform Design for Multiple-Target Detection in Colocated MIMO Radar

Sensors ◽  
2019 ◽  
Vol 19 (18) ◽  
pp. 4040 ◽  
Author(s):  
Bingfan Liu ◽  
Baixiao Chen ◽  
Minglei Yang
Keyword(s):  
Target Detection ◽  
Optimization Problems ◽  
Design Method ◽  
Waveform Design ◽  
Mimo Radar ◽  
Beam Pattern ◽  
Constant Modulus ◽  
Multiple Target ◽  
Beam Design ◽  
Detection Probabilities

For improving the performance of multiple-target detection in a colocated multiple-input multiple-output (MIMO) radar system, a constant-modulus-waveform design method is presented in this paper. The proposed method consists of two steps: simultaneous multiple-transmit-beam design and constant-modulus-waveform design. In the first step, each transmit beam is controlled by an ideal orthogonal waveform and a weight vector. We optimized the weight vectors to maximize the detection probabilities of all targets or minimize the transmit power for the purpose of low intercept probability in the case of predefined worst detection probabilities. Various targets’ radar cross-section (RCS) fluctuation models were also considered in two optimization problems. Then, the optimal weight vectors multiplied by ideal orthogonal waveforms were a set of transmitted waveforms. However, those transmitted waveforms were not constant-modulus waveforms. In the second step, the transmitted waveforms obtained in the first step were mapped to constant-modulus waveforms by cyclic algorithm. Numerical examples are provided to show that the proposed constant-waveform design method could effectively achieve the desired transmit-beam pattern, and that the transmit-beam pattern could be adaptively adjusted according to prior information.

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.

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