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Separation of Overlapping Linear Frequency Modulated (LFM) Signals Using the Fractional Fourier Transform

机译:用分数傅里叶变换分离重叠线性调频(LFm)信号

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摘要

Linear frequency modulated (LFM) excitation combined with pulse compression provides an increase in SNR at the receiver. LFM signals are of longer duration than pulsed signals of the same bandwidth; consequently, in many practical situations, maintaining temporal separation between echoes is not possible. Where analysis is performed on individual LFM signals, a separation technique is required. Time windowing is unable to separate signals overlapping in time. Frequency domain filtering is unable to separate signals with overlapping spectra. This paper describes a method to separate time-overlapping LFM signals through the application of the fractional Fourier transform (FrFT), a transform operating in both time and frequency domains. A short introduction to the FrFT and its operation and calculation are presented. The proposed signal separation method is illustrated by application to a simulated ultrasound signal, created by the summation of multiple time-overlapping LFM signals and the component signals recovered with +/-0.6% spectral error. The results of an experimental investigation are presented in which the proposed separation method is applied to time-overlapping LFM signals created by the transmission of a LFM signal through a stainless steel plate and water-filled pipe.
机译:线性调频(LFM)激励与脉冲压缩相结合,可以提高接收器的SNR。 LFM信号的持续时间比相同带宽的脉冲信号更长;因此,在许多实际情况下,不可能保持回波之间的时间间隔。如果对单个LFM信号进行分析,则需要一种分离技术。时间窗口无法分离时间重叠的信号。频域滤波无法分离频谱重叠的信号。本文介绍了一种通过应用分数阶傅里叶变换(FrFT)来分离时间重叠LFM信号的方法,该分数阶傅里叶变换在时域和频域中均有效。介绍了FrFT及其操作和计算的简短介绍。所提出的信号分离方法通过应用于模拟超声信号进行说明,该超声信号由多个时间重叠的LFM信号与以+/- 0.6%频谱误差恢复的分量信号的总和创建。提出了实验研究的结果,其中将所提出的分离方法应用于通过不锈钢板和注水管传输LFM信号而产生的时间重叠LFM信号。

著录项

  • 作者

    Cowell DMJ; Freear S;

  • 作者单位
  • 年度 2010
  • 总页数
  • 原文格式 PDF
  • 正文语种 {"code":"en","name":"English","id":9}
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