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A Novel NLFM Waveform With Low Sidelobes Based on Modified Chebyshev Window

机译:基于改进的Chebyshev窗口的低侧链的新型NLFM波形

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摘要

It is well known that the nonlinear frequency modulation (NLFM) chirp waveform can shape advantageously the power spectrum density (PSD) such that the autocorrelation function exhibits reduced sidelobes as the window function. However, differences between the PSD and window function due to the Gibbs effects caused by the Fresnel integral would lead to deteriorative performance of the NLFM chirp waveform. In particular, the correlation function of NLFM waveform with Chebyshev PSD is seriously inconsistent with the lowest sidelobe level of the Chebyshev window function possesses. To overcome the inconsistency, therefore, in this letter, a novel NLFM waveform with modified Chebyshev window PSD is proposed, which combines the Chebyshev with edge distortion compensation, allowing, in theory, low sidelobe level as Chebyshev window. Using theoretical analysis also confirmed by simulation, this letter shows that the novel NLFM waveform possesses low sidelobes without high computational complexity in design.
机译:众所周知,非线性频率调制(NLFM)Chirp波形可以有利地塑造功率谱密度(PSD),使得自相关函数表现出作为窗口功能的减小的侧链。然而,PSD与窗口功能之间的差异由于菲涅耳积分引起的GIBBS效应导致NLFM Chirp波形的劣化性能。特别是,与Chebyshev PSD的NLFM波形的相关函数与Chebyshev Window功能的最低侧瓣级具有严重不一致。因此,在这封信中,提出了一种具有修改的Chebyshev窗口PSD的新颖NLFM波形,其将Chebyshev与边缘失真补偿组合,允许理论上,低于Sidelobe级别作为Chebyshev窗口。使用仿真也证实了使用理论分析,这封信表明,新颖的NLFM波形具有低侧梭形,无需高计算复杂性。

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