基于迭代凸優(yōu)化的恒模波形合成方法
doi: 10.11999/JEIT141593
基金項(xiàng)目:
國家自然科學(xué)基金(61002045, 61179017, 61102167)和航空科學(xué)基金(20095184004)
Constant Modulus Waveform Synthesis Based on Iterative Convex Optimization
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摘要: 針對(duì)認(rèn)知雷達(dá)合成的時(shí)域恒模波形能量譜誤差大的問題,該文提出了一種基于迭代凸優(yōu)化的恒模波形合成方法。該方法首先將波形合成過程轉(zhuǎn)化成峰均功率比(PAPR)約束下的優(yōu)化問題,克服了常規(guī)波形合成過程中時(shí)域和頻域獨(dú)立優(yōu)化導(dǎo)致的整體收斂速度慢,局部最優(yōu)值能量譜誤差大的問題。其次通過最小化加權(quán)誤差矢量值(WEVM)降低阻帶功率水平,提高干擾及強(qiáng)雜波抑制能力。最后通過一系列變換操作將優(yōu)化問題轉(zhuǎn)化成二階錐規(guī)劃(SOCP)問題求解。計(jì)算機(jī)仿真驗(yàn)證了所提算法的有效性。
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關(guān)鍵詞:
- 認(rèn)知雷達(dá) /
- 恒模波形 /
- 凸優(yōu)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. -
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. 公緒華, 孟華東, 魏軼旻, 等. 雜波環(huán)境下面向擴(kuò)展目標(biāo)檢測(cè)的自適應(yīng)波形設(shè)計(jì)方法[J]. 清華大學(xué)學(xué)報(bào), 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. 趙宜楠, 李風(fēng)從, 王軍, 等. 基于秩虧傅里葉變換的交替投影編碼波形設(shè)計(jì)[J]. 電子學(xué)報(bào), 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. 李風(fēng)從, 趙宜楠, 喬曉林. 抑制特定區(qū)間距離旁瓣的恒模波形設(shè)計(jì)方法[J]. 電子與信息學(xué)報(bào), 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. 趙宜楠, 張濤, 李風(fēng)從, 等. 基于交替投影的MIMO雷達(dá)最優(yōu)波形設(shè)計(jì)[J]. 電子與信息學(xué)報(bào), 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. -
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