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| Constant Modulus Waveform Synthesis Based on Iterative Convex Optimization |
| Li Xiu-you Xue Yong-hua Dong Yun-long Guan Jian |
| (Department of Electronic and Information Engineering, Naval Aeronautical and Astronautical University,Yantai 264001, China) |
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Abstract In order to solve the problem of large energy spectral density error of the constant modulus waveform synthesized in cognitive radar. A new waveform design algorithm based on iterative convex optimization is proposed. Firstly, in order to solve the problems of slow convergence speed and large error of energy spectral density, this algorithm transforms the waveform synthesis process into an optimization problem constrained by Peak-to-Average Power Ratio (PAPR). Secondly, Weighting Error Vector Magnitude (WEVM) is minimized to reduce stop-band power and suppress the interference and the clutter. Finally, the optimization problem is transformed into Second-Order Cone Programming (SOCP) problem. Simulation results verify the effectiveness of the proposed algorithm.
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Received: 07 November 2014
Published: 29 June 2015
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Corresponding Authors:
Li Xiu-you
E-mail: lixiuyou2012@163.com
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| [1] |
Haykin S. Cognitive radar: a way of the future[J]. IEEE Signal Processing Magazine, 2006, 23(1): 30-40.
|
| [2] |
Sen S. PAPR-constrained pareto-optimal waveform design for OFDM-STAP radar[J]. IEEE Transactions on Geoscience and Remote Sensing, 2014, 52(6): 3658-3669.
|
| [3] |
Zhang X and Cui C. Signal detection for cognitive radar[J]. Electronics Letters, 2013, 49(8): 559-560.
|
| [4] |
Aubry A, De Maio A, Jiang Bo, et al.. Ambiguity function shaping for cognitive radar via complex quartic optimization[J]. IEEE Transactions on Signal Processing, 2013, 61(22): 5603-5619.
|
| [5] |
Aubry A, De Maio A, Farina A, et al.. Knowledge-aided (potentially cognitive) transmit signal and receive filter design in signal-dependent clutter[J]. IEEE Transactions on Aerospace and Electronic Systems, 2013, 49(1): 93-117.
|
| [6] |
公绪华, 孟华东, 魏轶旻, 等. 杂波环境下面向扩展目标检测的自适应波形设计方法[J]. 清华大学学报, 2011, 51(11): 1652-1656.
|
|
Gong Xu-hua, Meng Hua-dong, Wei Yi-min, et al.. Adaptive waveform design for range-spread target detection in clutter[J]. Journal of Tsinghua University (Science & Technology), 2011, 51(11): 1652-1656.
|
| [7] |
Bell M R. Information theory and radar waveform design[J]. IEEE Transactions on Information Theory, 1993, 39(5): 1578-1597.
|
| [8] |
Romero R A, Bae Junh-yeong, and Goodman N A. Theory and application of SNR and mutual information matched illumination waveforms[J]. IEEE Transactions on Aerospace and Electronic Systems, 2011, 47(2): 912-927.
|
| [9] |
Kay S. Optimal signal design for detection of Gaussian point targets in stationary Gaussian clutter/ reverberation [J]. IEEE Journal of Selected Topics in Signal Processing, 2007, 1(1): 31-41.
|
| [10] |
Richards M A. Fundamentals of Radar Signal Processing[M]. New York: The McGraw-Hill Companies, 2005: 230-231.
|
| [11] |
Leland J, Steven K, and Naresh V. Iterative method for nonlinear FM synthesis of radar signals[J]. IEEE Transactions on Aerospace and Electronic Systems, 2010, 46(2): 910-917.
|
| [12] |
赵宜楠, 李风从, 王军, 等. 基于秩亏傅里叶变换的交替投影编码波形设计[J]. 电子学报, 2014, 42(6): 1216-1219.
|
|
Zhao Yi-nan, Li Feng-cong, Wang Jun, et al.. Coded waveform design via alternating projection based on rank deficient Fourier transform[J]. Acta Electronica Sinica, 2014, 42(6): 1216-1219.
|
| [13] |
李风从, 赵宜楠, 乔晓林. 抑制特定区间距离旁瓣的恒模波形设计方法[J]. 电子与信息学报, 2013, 35(3): 532-536.
|
|
Li Feng-cong, Zhao Yi-nan, and Qiao Xiao-lin. Constant modular waveform design method for suppressing range sidelobes in specified intervals[J]. Journal of Electronics & Information Technology, 2013, 35(3): 532-536.
|
| [14] |
赵宜楠, 张涛, 李风从, 等. 基于交替投影的MIMO雷达最优波形设计[J]. 电子与信息学报, 2014, 36(6): 1368-1373.
|
|
Zhao Yi-nan, Zhang Tao, Li Feng-cong, et al.. Optimal waveform design for MIMO radar via alternating projection[J]. Journal of Electronics & Information Technology, 2014, 36(6): 1368-1373.
|
| [15] |
Vescovo R. Reconfigurability and beam-scanning with phase-only control for antenna arrays[J]. IEEE Transactions on Antennas and Propagation, 2008, 56(6): 1555-1565.
|
| [16] |
Armstrong J. Peak-to-average power reduction for OFDM by repeated clipping and frequency domain filtering[J]. Electronics Letters, 2002, 38(5): 246-247.
|
| [17] |
Wang Y C and Luo Z Q. Optimized iterative clipping and filtering for PAPR reduction of OFDM signals[J]. IEEE Transactions on Communications, 2011, 59(1): 33-37.
|
| [18] |
Boyd S and Vandenberghe L. Convex Optimization[M]. Cambridge, United Kingdom: Cambridge University Press, 2004: 340-341.
|
| [19] |
Lobo M, Vandenberghe L, Boyd S, et al.. Applications of second-order cone programming[J]. Linear Algebra and Its Applications, 1998, 11(284): 193-228.
|
|
|
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