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Sinusoidal Frequency Modulation Fourier-Bessel Series for Multicomponent SFM Signal Estimation and Separation

机译:用于多分量SFM信号估计和分离的正弦调频傅里叶-贝塞尔级数

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摘要

Multicomponent sinusoidal frequency modulated (SFM) signals are widely used in radar, acoustics, and biomedicine. The instantaneous frequency (IF) characterizes important physical parameters of the real applications. In this paper, a sinusoidal frequency modulation Fourier-Bessel (SFMFB) series is defined for IF estimation. It provides the signal decomposition on the Bessel function basis with a finer resolution, which proposes an extension of the performance and the applicability of the classic Fourier Bessel transform (FBT). Based on the property analysis of the SFMFB series, an algorithm of IF estimation and signal separation is introduced. Unlike the existing estimation methods which apply sliding windows to make an instantaneous approximation, the proposed method uses the global data, which provides a longer period gain, therefore achieving a better estimation performance. Moreover, considering that most estimation methods are invalid in multicomponent separation, the individual signals are well separated by the proposed algorithm, which facilitates the further monocomponent analysis. A performance comparison between the proposed method, the FBT, and another recently proposed sinusoidal frequency modulation Fourier transform (SFMFT) is also provided. Simulation results indicate that the proposed method outperforms the existing methods in estimation precision and computation load, and it is free of interference which exists in SFMFT.
机译:多分量正弦频率调制(SFM)信号广泛用于雷达,声学和生物医学中。瞬时频率(IF)表征了实际应用中的重要物理参数。在本文中,定义了用于IF估计的正弦频率调制傅里叶-贝塞尔(SFMFB)系列。它以更好的分辨率在贝塞尔函数基础上提供信号分解,从而提出了经典傅里叶贝塞尔变换(FBT)的性能和适用性的扩展。在对SFFMB系列进行性能分析的基础上,提出了一种中频估计和信号分离算法。与使用滑动窗口进行瞬时逼近的现有估计方法不同,所提出的方法使用全局数据,该数据提供了更长的周期增益,因此获得了更好的估计性能。此外,考虑到大多数估计方法在多分量分离中都是无效的,因此所提出的算法可以很好地分离单个信号,这有助于进一步的单分量分析。还提供了所提出的方法,FBT和另一个最近提出的正弦频率调制傅里叶变换(SFMFT)之间的性能比较。仿真结果表明,所提方法在估计精度和计算量上均优于现有方法,且无干扰。

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  • 来源
    《Mathematical Problems in Engineering》 |2017年第9期|5852171.1-5852171.14|共14页
  • 作者单位

    Air Force Engn Univ, Sch Informat & Nav, Xian 710077, Shaanxi, Peoples R China;

    Air Force Engn Univ, Sch Informat & Nav, Xian 710077, Shaanxi, Peoples R China;

    Air Force Engn Univ, Sch Informat & Nav, Xian 710077, Shaanxi, Peoples R China;

    Air Force Engn Univ, Sch Informat & Nav, Xian 710077, Shaanxi, Peoples R China;

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