Application of linear canonical transform correlation for detection of linear frequency modulated signals
Application of linear canonical transform correlation for detection of linear frequency modulated signals
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DOI：
10.1049/iet-spr.2015.0041
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发表时间：
2016-06
期刊：
影响因子：
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通讯作者：
Yuanchao Li;Feng Zhang;Yanbin Li;R. Tao
中科院分区：
文献类型：
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作者：
Yuanchao Li;Feng Zhang;Yanbin Li;R. Tao
线性正则变换（LCT），可以被认为是分数傅里叶变换的推广，已被用于多个领域，包括信号处理和光学。受算子理论的启发，引入了一个新的与LCT相关的酉算子。这种新算子推广了Akay等人最近提出的酉分式算子。通过算子操作，作者还导出了一个新的定义，LCT相关运算，并提出了一种替代和有效的实现它。它表明，所提出的LCT自相关对应于径向切片的模糊度函数在模糊度平面。在此基础上，提出了一种基于快速LCT自相关的线性调频信号啁啾率检测和参数估计方法。仿真结果验证了该方法的有效性。
Linear canonical transform (LCT), which can be deemed to be a generalisation of the fractional Fourier transform, has been used in several areas, including signal processing and optics. Motivated by the operator theory, a new unitary operator associated with the LCT is introduced. This new operator generalises the unitary fractional operator which is proposed by Akay et al. recently. Via operator manipulations, the authors also derive a new definition, the LCT correlation operation, and present an alternative and efficient implementation of it. It is shown that the proposed LCT autocorrelation corresponds to radial slices of the ambiguity function in the ambiguity plane. On the basis of this relationship, an application of the fast LCT autocorrelation for detection and parameter estimation with respect to the chirp rates of linear frequency modulated signals corrupted by noise is proposed. Finally, the validity of the proposed method is verified by simulation results.