arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2002.10159eess.SP
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多音频正弦调频自适应发射波形设计

Adaptive Transmit Waveform Design using Multi-Tone Sinusoidal Frequency Modulation

David A. Hague

摘要:

提出了一种基于多音正弦调频(MTSFM)的自适应波形设计方法。MTSFM波形的调制函数表示为有限傅立叶级数展开。傅立叶系数被用作设计参数的离散集合,其可以被修改以适应波形的属性。MTSFM的设计参数被调整以形成波形的频谱、自相关函数(ACF)和模糊函数(AF)形状。MTSFM波形模型自然具有恒定包络和频谱紧凑的波形,这使得它非常适合在利用高功率放大器的实际雷达/声纳发射机上传输。MTSFM使用广义贝塞尔函数对其时间序列进行了精确的数学定义,该广义贝塞尔函数允许导出其频谱、AF和ACF的封闭形式的解析表达式。这些表达式允许建立定义良好的优化问题,微调MTSFM的属性。这种自适应波形设计模型通过优化最初具有“图钉状”AF形状的MTSFM波形来证明。由此产生的优化设计具有大幅改善的旁瓣电平在指定区域的距离-多普勒平面,而不增加的时间带宽积(TBP),初始化的波形拥有。仿真结果还表明,优化的图钉状MTSFM波形与从已发表文献中可用的设计算法导出的图钉状相位编码波形具有竞争力。

英文摘要:

This paper presents an adaptive waveform design method using Multi-Tone Sinusoidal Frequency Modulation (MTSFM). The MTSFM waveform's modulation function is represented as a finite Fourier series expansion. The Fourier coefficients are utilized as a discrete set of design parameters that may be modified to adapt the waveform's properties. The MTSFM's design parameters are adjusted to shape the spectrum, Auto-Correlation Function (ACF), and Ambiguity Function (AF) shapes of the waveform. The MTSFM waveform model naturally possesses the constant envelope and spectrally compact waveforms that make it well suited for transmission on practical radar/sonar transmitters which utilize high power amplifiers. The MTSFM has an exact mathematical definition for its time-series using Generalized Bessel Functions which allow for deriving closed-form analytical expressions for its spectrum, AF, and ACF. These expressions allow for establishing well-defined optimization problems that finely tune the MTSFM's properties. This adaptive waveform design model is demonstrated by optimizing MTSFM waveforms that initially possess a "thumbtack-like" AF shape. The resulting optimized designs possess substantially improved sidelobe levels over specified regions in the range-Doppler plane without increasing the Time-Bandwidth Product (TBP) that the initialized waveforms possessed. Simulations additionally demonstrate that the optimized thumbtack-like MTSFM waveforms are competitive with thumbtack-like phase-coded waveforms derived from design algorithms available in the published literature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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