基于迭代凸优化的恒模波形合成方法

李秀友; 薛永华; 董云龙; 关键

doi:10.11999/JEIT141593

基于迭代凸优化的恒模波形合成方法

doi: 10.11999/JEIT141593

基金项目:

国家自然科学基金(61002045, 61179017, 61102167)和航空科学基金(20095184004)

计量
- 文章访问数: 1286
- HTML全文浏览量: 147
- PDF下载量: 703
- 被引次数: 0
出版历程
- 收稿日期: 2014-11-07
- 修回日期: 2015-05-21
- 刊出日期: 2015-09-19

Constant Modulus Waveform Synthesis Based on Iterative Convex Optimization

摘要

摘要: 针对认知雷达合成的时域恒模波形能量谱误差大的问题，该文提出了一种基于迭代凸优化的恒模波形合成方法。该方法首先将波形合成过程转化成峰均功率比(PAPR)约束下的优化问题，克服了常规波形合成过程中时域和频域独立优化导致的整体收敛速度慢，局部最优值能量谱误差大的问题。其次通过最小化加权误差矢量值(WEVM)降低阻带功率水平，提高干扰及强杂波抑制能力。最后通过一系列变换操作将优化问题转化成二阶锥规划(SOCP)问题求解。计算机仿真验证了所提算法的有效性。
- 认知雷达 /
- 恒模波形 /
- 凸优化 /
- 峰均功率比
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.
- Cognitive radar /
- Constant modulus waveform /
- Convex optimization /
- Peak-to-Average Power Ratio (PAPR)

HTML全文

参考文献(23)

Haykin S. Cognitive radar: a way of the future[J]. IEEE Signal Processing Magazine, 2006, 23(1): 30-40.

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.

Zhang X and Cui C. Signal detection for cognitive radar[J]. Electronics Letters, 2013, 49(8): 559-560.

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.

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.

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.

Bell M R. Information theory and radar waveform design[J]. IEEE Transactions on Information Theory, 1993, 39(5): 1578-1597.

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.

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.

Richards M A. Fundamentals of Radar Signal Processing[M]. New York: The McGraw-Hill Companies, 2005: 230-231.

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.

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.

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.

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.

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.

Armstrong J. Peak-to-average power reduction for OFDM by repeated clipping and frequency domain filtering[J]. Electronics Letters, 2002, 38(5): 246-247.

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.

Boyd S and Vandenberghe L. Convex Optimization[M]. Cambridge, United Kingdom: Cambridge University Press, 2004: 340-341.

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.

施引文献

资源附件(0)

访问统计