基于譜逼近的瞬態(tài)極化雷達(dá)最優(yōu)波形設(shè)計(jì)
doi: 10.11999/JEIT150299 cstr: 32379.14.JEIT150299
基金項(xiàng)目:
國(guó)家自然科學(xué)基金(61371181)資助課題
Optimal Waveform Design for Instantaneous Polarization Radar via Spectral Approximation
Funds:
The National Natural Science Foundation of China (61371181)
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摘要: 針對(duì)瞬態(tài)極化雷達(dá)(IPR)兩路極化波形相關(guān)度較高而導(dǎo)致的目標(biāo)極化參數(shù)估計(jì)誤差大的問題，該文提出純相位譜逼近算法(POSAA)來(lái)設(shè)計(jì)具有低相關(guān)水平的波形對(duì)。首先，以積分旁瓣電平準(zhǔn)則構(gòu)建目標(biāo)函數(shù)；然后利用相關(guān)與譜的傅里葉變換對(duì)關(guān)系，基于譜逼近的思想，推導(dǎo)了目標(biāo)函數(shù)的頻域表示；最后獲得目標(biāo)函數(shù)的梯度和Hess矩陣，并采用信賴域方法優(yōu)化求解目標(biāo)函數(shù)以獲得理想波形。仿真結(jié)果表明優(yōu)化后的波形對(duì)具有極低的相關(guān)水平，且利用該優(yōu)化波形獲得的目標(biāo)參數(shù)誤差遠(yuǎn)小于當(dāng)前常見波形。
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關(guān)鍵詞:
- 瞬態(tài)極化雷達(dá) /
- 波形設(shè)計(jì) /
- 旁瓣抑制 /
- 功率譜擬合 /
- 相位編碼
Abstract: To reduce estimation error caused by high correlation level of two transmitted waveforms, a novel method is proposed to design a couple of waveforms with low correlation level, named Phase Only Spectral Approximation Algorithm (POSAA). Firstly, the object function is constructed under the rule of minimizing the integrated sidelobe level. Secondly, the object function is derived in frequency domain based on spectral approximation, according to the relationship between correlation sequences and the power spectral density of waveforms. Finally, the object function is optimized by trust region algorithm using its gradient and Hessian matrix. The numerical simulations have demonstrated that the designed waveforms posses a good correlation level, and the error of received target polarization information using this waveform is much less than others. -
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