基于聯(lián)合優(yōu)化松弛交替投影的組網(wǎng)雷達(dá)恒模波形設(shè)計(jì)
doi: 10.11999/JEIT151152
基金項(xiàng)目:
國(guó)家自然科學(xué)基金(61371181)
Unimodular Waveforms Design for Netted Radar System via Joint Optimization Relaxed Alternating Projection
Funds:
The National Natural Science Foundation of China (61371181)
-
摘要: 針對(duì)組網(wǎng)雷達(dá)工作頻段擁塞、高自相關(guān)距離旁瓣及節(jié)點(diǎn)雷達(dá)間波形互干擾等問(wèn)題，該文在恒模約束下引入聯(lián)合優(yōu)化松弛交替投影算法來(lái)設(shè)計(jì)稀疏頻譜波形，使其同時(shí)具有低自相關(guān)旁瓣或低節(jié)點(diǎn)雷達(dá)間波形互擾特性。該算法利用功率譜與非周期相關(guān)函數(shù)的傅里葉變換關(guān)系將原優(yōu)化問(wèn)題轉(zhuǎn)化為譜逼近問(wèn)題，并通過(guò)多目標(biāo)聯(lián)合優(yōu)化機(jī)制綜合考慮各設(shè)計(jì)要求，引入松弛因子和加速因子擴(kuò)展交替投影框架來(lái)優(yōu)化收斂投影區(qū)，最終憑借快速傅里葉變換及加速交替投影機(jī)制實(shí)現(xiàn)迭代優(yōu)化。仿真結(jié)果表明，該算法無(wú)需求解梯度，運(yùn)算效率高且能夠有效避免局部?jī)?yōu)化停滯，與當(dāng)前流行投影算法及循環(huán)算法相比更適合工程實(shí)現(xiàn)。
-
關(guān)鍵詞:
- 組網(wǎng)雷達(dá) /
- 稀疏頻譜 /
- 恒模波形 /
- 功率譜逼近 /
- 交替投影
Abstract: The netted radar often suffers congested spectrum assignment, high autocorrelation sidelobes as well as cross-interference of transmitted waveforms. In this paper, the Joint Optimization Relaxed Alternating Projection (JORAP) method is introduced to design sparse frequency waveforms with low auto- and cross-correlation sidelobes under the unimodular constraint. Firstly, the original optimization issue is converted into spectrum approximation issue via FFT between the aperiodic correlation function and power spectral density. Secondly, different design requirements are synthesized via multi-objective optimization mechanism. Next, the projection space is exploited utilizing its relaxed factor and accelerating factor. Finally, the iterative optimization is conducted by FFT and accelerated alternating projection. Simulations demonstrate that this algorithm, without computing conjugate gradient, can avoid the local stagnation and obtain efficient performance, which seems more convenient for engineering than some prevalent alternating projections or cyclic algorithms.-
Key words:
- Netted radar /
- Sparse frequency /
- Unimodular waveform /
- Spectrum approximation /
- Alternating projection
-
DENG H. Orthogonal netted radar systems[J]. IEEEAerospace and Electronic Systems Magazine, 2012, 27(5): 28-35. doi: 10.1109/MAES.2012.6226692. BARBARY M and ZONG P. Optimisation for stealth target detection based on stratospheric balloon-borne netted radar system[J]. IET Radar, Sonar Navigation, 2015, 9(7): 802-816. doi: 10.1049/iet-rsn.2014.0308. 周宇, 張林讓, 趙珊珊. 組網(wǎng)雷達(dá)低自相關(guān)旁瓣和互相關(guān)干擾的稀疏頻譜波形設(shè)計(jì)方法[J]. 電子與信息學(xué)報(bào), 2014, 36(6): 1394-1399. doi: 10.3724/SP.J.1146.2013.00702. ZHOU Yu, ZHANG Linrang, and ZHAO Shanshan. Sparse frequency waveforms design with low correlation sidelobes for Netted Radar[J]. Journal of Electronics Information Technology, 2014, 36(6): 1394-1399. doi: 10.3724/SP.J.1146. 2013.00702. ROWE W, STOICA P, and LI J. Spectrally constrained waveform design [sp TipsTricks][J]. IEEE Signal Processing Magazine, 2014, 31(3): 157-162. doi: 10.1109/MSP.2014. 2301792. DENG H. Polyphase code design for orthogonal netted radar systems[J]. IEEE Transactions on Signal Processing, 2004, 52(11): 3126-3135. doi: 10.1109/TSP.2004.836530. CHEN W, CAI Z, CHEN R, et al. Optimizing polyphase sequences for orthogonal netted radar systems[J]. Journal of Systems Engineering and Electronics, 2012, 23(4): 529-535. doi: 10.1109/JSEE.2012.00067. 莊珊娜, 賀亞鵬, 朱曉華. 低距離旁瓣稀疏頻譜波形相位編碼設(shè)計(jì)[J]. 電子與信息學(xué)報(bào), 2012, 34(5): 1088-1095. doi: 10. 3724/SP.J.1146.2011.00973. ZHUANG Shanna, HE Yapeng, and ZHU Xiaohua. Phase coding for sparse frequency waveform with low range sidelobes[J]. Journal of Electronics Information Technology, 2012, 34(5): 1088-1095. doi: 10.3724/SP.J.1146.2011.00973. WANG G H and LU Y L. Designing single/multiple spares frequency waveforms with sidelobe constraint [J]. IET Radar, Sonar Navigation, 2011, 5(1): 32-38. doi: 10.1049/iet-rsn. 2009.0255. HE H, STOICA P, and LI J. Waveform design with stopband and correlation constraints for cognitive radar[C]. 2010 2nd IEEE International Workshop on Cognitive Information Processing (CIP), Elba, 2010: 344-349. doi: 10.1109/CIP. 2010.5604089. 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. doi: 10.3724/SP.J.1146.2013.01198. ZHAO Yinan, ZHANG Tao, LI Fengcong, et al. Optimal waveform design for MIMO radar via alternating projection [J]. Journal of Electronics Information Technology, 2014, 36(6): 1368-1373. doi: 10.3724/SP.J.1146.2013.01198. ZHAO Y N, LI F C, ZHANG T, et al. Computational design of optimal waveforms for MIMO radar via multi-dimensional iterative spectral approximation[J]. Multidimensional Systems and Signal Processing, 2016, 27(1): 43-60. doi: 10.1007/s11045-014-0288-1. 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. doi: 10.3724/SP.J.1146.2012.00857. LI Fengcong, ZHAO Yinan, and QIAO Xiaolin. Constant modular waveform design method for suppressing range sidelobes in specified intervals[J]. Journal of Electronics Information Technology, 2013, 35(3): 532-536. doi: 10.3724 /SP.J.1146.2012.00857. TROPP J, DHILLON I S, HEATH Jr R W, et al. Designing structured tight frames via an alternating projection method [J]. IEEE Transactions on Information Theory, 2005, 51(1): 188-209. doi: 10.1109/TIT.2004.839492. CEGIELSKI A and DYLEWSKI R. Variable target value relaxed alternating projection method[J]. Computational Optimization and Applications, 2010, 47(3): 455-476. doi: 10.1007/s10589-009-9233-x. 李姣芬, 胡錫炎, 張磊. 閉凸集約束下線性矩陣方程求解的松弛交替投影算法[J]. 數(shù)學(xué)學(xué)報(bào), 2014, 57(1): 17-34. LI Jiaofen, HU Xiyan, and ZHANG Lei. Relaxed alternating projection method for solving linear matrix equation problem under closed convex constraint[J]. Acta Mathematica Sinica, 2014, 57(1): 17-34. LEONG H W and DAWE B. Channel availability for east coast high frequency surface wave radar systems[R]. Defence Research Establishment Ottawa (Ontario), 2001. -
計(jì)量
- 文章訪問(wèn)數(shù): 1348
- HTML全文瀏覽量: 151
- PDF下載量: 467
- 被引次數(shù): 0
下載:
