基于迭代凸優(yōu)化的恒模波形合成方法

李秀友; 薛永華; 董云龍; 關(guān)鍵

doi:10.11999/JEIT141593

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)

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- 被引次數(shù): 0
出版歷程
- 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: 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。
- 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.
- Cognitive radar /
- Constant modulus waveform /
- Convex optimization /
- Peak-to-Average Power Ratio (PAPR)

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