Abstract:

To address the problems of narrow frequency band and low distance resolution of conventional single carrier frequency sub-pulse phase coded signals in the multiple input multiple output （MIMO） radar， as well as the problem of “gating lobe” in the fuzzy function of linear frequency modulation （LFM）-phase coded signals， a design method for orthogonal waveform sets of LFM-phase coded mixed waveform based on time-frequency distribution of permutation matrix （Perm-LFM-PC， PLP） is proposed. The autocorrelation sidelobe peak （ASP） and cross-correlation peak （CP） of PLP waveforms are increased due to the introduction of permutation sequence FM code by the time-frequency distribution modulation method of the permutation matrix. Therefore， a PLP waveform set optimization model is developed in this paper with the sum of ASP and CP as the cost function， and proposes a multiple swarm optimization genetic algorithm （MSO-GA） is proposed to jointly optimize the FM coding sequence and the phase coding sequence. The simulation results show that the PLP waveform has the advantages of easy implementation of broad frequency band and peg-like fuzzy functions， and the ASP and CP of the algorithm-optimized PLP waveform set are lower and suitable for MIMO radar systems.

Key words: multiple input multiple output（MIMO） radar, perm-LFM-PC waveform, frequency coding, phase coding, multiple swarm optimization genetic algorithm （MSO-GA）

摘要：

针对MIMO雷达中常规单载频子脉冲相位编码信号的频带较窄、距离分辨率不高，以及线性调频-相位编码信号模糊函数有“栅瓣”的问题，提出了一种基于置换矩阵时频分布的线性调频-相位编码（perm-LFM-PC，PLP）混合波形的正交波形集设计方法。由于置换矩阵时频分布调制方法引入置换序列调频编码，使得PLP波形的峰值旁瓣（ASP）和互相关峰值（CP）有所升高。为此，以ASP和CP的总和为代价函数，建立PLP波形集优化模型，并提出一种多种群优化遗传算法(MSO-GA)，对调频编码序列和相位编码序列进行联合优化。仿真结果表明，PLP波形具有易于实现宽频带的优点和图钉状模糊函数，经过算法优化后的PLP波形集的ASP和CP较低，适用于MIMO雷达系统。

关键词: MIMO雷达, perm-LFM-PC波形, 频率编码, 相位编码, 多种群优化遗传算法