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Parameter Estimation of LFM Signal Based on Bayesian Compressive Sensing via Fractional Fourier Transform

机译:基于分数阶傅里叶变换的贝叶斯压缩感知的LFM信号参数估计

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摘要

Compressive Sensing (CS) theory breaks through the limitations of traditional Nyquist sampling theorem, accomplishes the compressive sampling and reconstruction of signals based on sparsity or compressibility. In this paper CS is presented in a Bayesian framework for linear frequency modulated (LFM) cases whose likelihood or priors are usually Gaussian. In order to decrease the sampling pressure of hardware Bayesian CS (BCS) method is proposed which reconstructs the spectrum information of LFM signal via fractional Fourier transform (FRFT). On the different fractional orders of FRFT basis, the LFM signal has different forms of spectrum; from the spectrums we search the peak position to estimate the initial frequency and chirp rate of LFM signal. Simulation results show that by using the method this paper proposed it outperforms some existing algorithms demonstrating the superior performance of the proposed approach.'
机译:压缩感知(CS)理论突破了传统的奈奎斯特采样定理的局限性,基于稀疏性或可压缩性完成了信号的压缩采样和重构。在本文中,CS是在贝叶斯框架中针对线性调频(LFM)情况提出的,其可能性或先验通常是高斯。为了降低硬件的采样压力,提出了贝叶斯CS(BCS)方法,该方法通过分数阶傅立叶变换(FRFT)重建LFM信号的频谱信息。在FRFT的不同分数阶基础上,LFM信号具有不同形式的频谱。从频谱中我们搜索峰值位置,以估计LFM信号的初始频率和线性调频率。仿真结果表明,通过本文提出的方法,其性能优于现有算法,证明了该方法的优越性能。

著录项

  • 来源
    《Journal of Communications》 |2016年第7期|693-701|共9页
  • 作者单位

    School of Electronics and Information Engineering, Changchun University of Science and Technology, Changchun 130022, China;

    School of Electronics and Information Engineering, Changchun University of Science and Technology, Changchun 130022, China;

    School of Electronics and Information Engineering, Changchun University of Science and Technology, Changchun 130022, China;

    School of Electronics and Information Engineering, Changchun University, Changchun 130022, China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    BCS; FRFT; LFM; estimation;

    机译:BCS;FRFT;LFM;估算;

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