【摘要】：針對(duì)相關(guān)檢測方法中自相關(guān)不能檢測相位、互相關(guān)需要參考信號(hào)的問題,從相關(guān)和卷積的關(guān)系出發(fā),提出一種自卷積檢測方法。首先,擴(kuò)展相關(guān)和卷積的關(guān)系;然后,分別推導(dǎo)周期信號(hào)的自卷積、兩周期信號(hào)的卷積、周期信號(hào)與噪聲的卷積、噪聲的自卷積、加噪信號(hào)的自卷積表達(dá)式,從理論上證明自卷積檢測方法能檢測信號(hào)的頻率、幅值和相位,同時(shí)可以抑制噪聲。最后,作為自卷積檢測方法的應(yīng)用實(shí)例,結(jié)合能量重心法提出一種新的離散頻譜校正方法。仿真結(jié)果表明,所提方法能提高離散頻譜校正的抗噪性能,對(duì)研究相關(guān)與卷積的關(guān)系以及卷積應(yīng)用有一定的參考價(jià)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.
【作者單位】： 湖南大學(xué)電氣與信息工程學(xué)院;
【基金】：國家自然科學(xué)基金項(xiàng)目(51277058) 湖南省教育廳項(xiàng)目(13C931)~~
【分類號(hào)】：TN911.23

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相關(guān)期刊論文 前7條

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本文編號(hào)：2236074