雜波條件下穩(wěn)健的MIMO雷達發(fā)射波形和接收濾波器聯(lián)合優(yōu)化設(shè)計
doi: 10.11999/JEIT161146
基金項目:
國家自然科學(xué)基金(61302153)
Robust Joint Design of Transmit Waveform and Receive Filter for MIMO Radar in Presence of Clutter
Funds:
The National Natural Science Foundation of China (61302153)
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摘要: 現(xiàn)有MIMO雷達發(fā)射波形和接收濾波器聯(lián)合優(yōu)化方法均未考慮陣元功率放大器非線性以及算法的穩(wěn)健性。針對上述問題,該文以MIMO雷達各陣元發(fā)射功率和每個陣元發(fā)射波形的峰均比(PAR)為約束條件,提出一種雜波條件下穩(wěn)健的MIMO雷達發(fā)射波形和接收濾波器聯(lián)合優(yōu)化設(shè)計方法。該方法利用Max-Min構(gòu)造目標(biāo)導(dǎo)向矢量不確定集范圍內(nèi)關(guān)于雷達輸出信干噪比(SINR)的優(yōu)化模型,通過半正定松弛(SDR)、Charnes-Cooper轉(zhuǎn)換、序列優(yōu)化和Lagrange對偶方法,將非凸的聯(lián)合優(yōu)化模型轉(zhuǎn)化為兩個分別關(guān)于發(fā)射波形和接收濾波器空時序列協(xié)方差矩陣的凸的半正定規(guī)劃問題(SDP)進行求解,最后利用隨機向量合成方法得到具體的發(fā)射波形和接收濾波器。實驗仿真驗證了所提方法的有效性和穩(wěn)健性。Abstract: The existing joint design methods of transmit waveform and receive filter for MIMO radar do not take into account the non-linear characteristics of radio frequency amplifier and the imprecise information about the target in practical applications. For these problems, a robust joint design of transmit waveform and receive filter for MIMO radar in presence of clutter with the power constraint of each element and the Peak-to-Average-power Ratio (PAR) constraint of transmit waveform from each element is proposed. The novel scheme sets an optimization model of MIMO radars output Signal-to-Interference-plus-Noise Ratio (SINR) within the uncertainty of targets steering vector via Max-Min method. As for the resulting non-convex joint optimization problem, Semi-Definite Relaxation (SDR), Charnes-Cooper transformation, sequential optimization, and Lagrange dual theorem are adopted to converse the non-convex original problem into two convex Semi-Definite Programming (SDP) sub-problems, which are concerned about the covariance matrix of transmit space-time code and receive space-time filter, respectively. The final transmit waveform and receive filter can be obtained by randomization method. The efficiency and robustness of the proposed algorithm are verified by the simulation results.
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Key words:
- MIMO radar /
- Waveform design /
- Robustness /
- Semi-Definite Relaxation (SPR)
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