自卷积检测方法及其在离散频谱校正中的应用

发布时间：2018-09-11 07:53

【摘要】：针对相关检测方法中自相关不能检测相位、互相关需要参考信号的问题,从相关和卷积的关系出发,提出一种自卷积检测方法。首先,扩展相关和卷积的关系;然后,分别推导周期信号的自卷积、两周期信号的卷积、周期信号与噪声的卷积、噪声的自卷积、加噪信号的自卷积表达式,从理论上证明自卷积检测方法能检测信号的频率、幅值和相位,同时可以抑制噪声。最后,作为自卷积检测方法的应用实例,结合能量重心法提出一种新的离散频谱校正方法。仿真结果表明,所提方法能提高离散频谱校正的抗噪性能,对研究相关与卷积的关系以及卷积应用有一定的参考价值。
[Abstract]:Aiming at the problem that autocorrelation can not detect phase and cross-correlation needs reference signal in correlation detection method, a self-convolution detection method is proposed based on the relationship between correlation and convolution. First of all, the relation between extended correlation and convolution, then the self-convolution of periodic signal, the convolution of two-period signal, the convolution of periodic signal and noise, the self-convolution of noise, the self-convolution expression of noised signal, respectively. It is proved theoretically that the self-convolution detection method can detect the frequency, amplitude and phase of the signal, and suppress the noise at the same time. Finally, as an application example of the self-convolution detection method, a new discrete spectrum correction method is proposed in combination with the energy center of gravity method. The simulation results show that the proposed method can improve the anti-noise performance of discrete spectrum correction, and has a certain reference value for the study of the relationship between correlation and convolution and the application of convolution.
【作者单位】：湖南大学电气与信息工程学院;
【基金】：国家自然科学基金项目(51277058) 湖南省教育厅项目(13C931)~~
【分类号】：TN911.23

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