Waveform design and high-resolution imaging of cognitive radar based on compressive sensing

We introduce the compressive sensing (CS) theory for waveform design of cognitive radar, and then propose an algorithm for the high-resolution radar signal waveform and its corresponding imaging method based on the sparse orthogonal frequency division multiplexing-linear frequency modulation (OFDM-LFM) signal. We first present the principle of spectrum synthesis and high-resolution imaging based on OFDM-LFM signals. Then, we propose the spectrum-sparse waveform design criterion and the reconstruction algorithm for a high-resolution range profile (HRRP) based on CS. Based on this, we analyze in detail the relationship between the scattering characteristics of the target and the parameters of the designed signal, and we construct the feedback of the target characteristics on the waveforms. Therefore, the “cognitive” function of radar can be achieved by adaptively adjusting the waveform with the target characteristics. Simulations are given to validate the effectiveness of the proposed algorithm.

[1]  Wang Liang-jun,et al.  Advances in Theory and Application of Compressed Sensing , 2009 .

[2]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

[3]  Wei Li,et al.  A current-mode RF transmitter for 6–9 GHz MB-OFDM UWB application , 2010, Science China Information Sciences.

[4]  Uday B. Desai,et al.  Improvement in target detection performance of pulse coded Doppler radar based on multicarrier modulation with fast Fourier transform (FFT) , 2004 .

[5]  Mengdao Xing,et al.  Generating dense and super-resolution ISAR image by combining bandwidth extrapolation and compressive sensing , 2011, Science China Information Sciences.

[6]  Mark R. Bell Information theory and radar waveform design , 1993, IEEE Trans. Inf. Theory.

[7]  Meng Wang,et al.  Optimized address assignment with array and loop transformations for minimizing schedule length , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[8]  B. Wang,et al.  Optimal Adaptive Waveform Selection for Target Tracking , 2009 .

[9]  R.G. Baraniuk,et al.  Compressive Sensing [Lecture Notes] , 2007, IEEE Signal Processing Magazine.

[10]  Emmanuel J. Candès,et al.  Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information , 2004, IEEE Transactions on Information Theory.

[11]  Guangming Shi,et al.  UWB Echo Signal Detection With Ultra-Low Rate Sampling Based on Compressed Sensing , 2008, IEEE Transactions on Circuits and Systems II: Express Briefs.

[12]  Ting Gao,et al.  A 6.2–9.5 GHz receiver for Wimedia MB-OFDM and China UWB standard , 2010, Science China Information Sciences.

[13]  Feng Shu,et al.  ML integer frequency offset estimation for OFDM systems with null subcarriers: Estimation range and pilot design , 2010, Science China Information Sciences.

[14]  Emmanuel J. Candès,et al.  Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? , 2004, IEEE Transactions on Information Theory.

[15]  Amit Kumar Mishra,et al.  IET International Radar Conference , 2007 .

[16]  M.A. Neifeld,et al.  Adaptive Waveform Design and Sequential Hypothesis Testing for Target Recognition With Active Sensors , 2007, IEEE Journal of Selected Topics in Signal Processing.

[17]  N.A. Goodman Closed-Loop Radar with Adaptively Matched Waveforms , 2007, 2007 International Conference on Electromagnetics in Advanced Applications.

[18]  R. Baraniuk,et al.  Compressive Radar Imaging , 2007, 2007 IEEE Radar Conference.

[19]  S. Haykin,et al.  Cognitive radar: a way of the future , 2006, IEEE Signal Processing Magazine.

[20]  Joel A. Tropp,et al.  Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit , 2007, IEEE Transactions on Information Theory.

[21]  H. Vincent Poor,et al.  MIMO Radar Using Compressive Sampling , 2009, IEEE Journal of Selected Topics in Signal Processing.

[22]  Huadong Meng,et al.  Adaptive single-tone waveform design for target recognition in Cognitive Radar , 2009 .

[23]  Zheng Bao,et al.  Radar automatic target recognition based on feature extraction for complex HRRP , 2008, Science in China Series F: Information Sciences.

[24]  Han Zhang,et al.  Linearly time-varying channel estimation and training power allocation for OFDM/MIMO systems using superimposed training , 2011, Science China Information Sciences.

[25]  Holger Rauhut,et al.  Random Sampling of Sparse Trigonometric Polynomials, II. Orthogonal Matching Pursuit versus Basis Pursuit , 2008, Found. Comput. Math..

[26]  Qun Zhang,et al.  Micro-Doppler Effect Analysis and Feature Extraction in ISAR Imaging With Stepped-Frequency Chirp Signals , 2010, IEEE Transactions on Geoscience and Remote Sensing.