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基于信號(hào)分解和群延時(shí)的維格納分布改進(jìn)方法
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國(guó)家“973”重點(diǎn)基礎(chǔ)研究發(fā)展計(jì)劃資助項(xiàng)目（2007CB714706）


Improved Wigner Ville Distribution Based on Signal Decomposition and Modified Magnitude Group Delay
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    摘要:

    提出一種WVD (Wigner Ville distribution)的改進(jìn)方法。應(yīng)用離散余弦諧波小波變換對(duì)多分量信號(hào)進(jìn)行分解,，計(jì)算分解后得到的單分量信號(hào)的WVD,，將單分量信號(hào)的WVD沿頻率軸串聯(lián)得到整個(gè)信號(hào)的WVD,，抑制分布的交叉項(xiàng),。應(yīng)用修改群延時(shí)函數(shù)減少因WVD核函數(shù)截?cái)喽a(chǎn)生的波動(dòng)效應(yīng)，改善分布的時(shí)頻分辨率,。通過算例中的線性調(diào)頻信號(hào)和應(yīng)用實(shí)例中軸承振動(dòng)信號(hào)驗(yàn)證表明,，改進(jìn)后的WVD有滿意的時(shí)頻分辨率和明顯的交叉項(xiàng)抑制能力，能夠通過離散余弦變換實(shí)現(xiàn)其快速算法,，算法快速,、簡(jiǎn)單，適合非平穩(wěn)工程信號(hào)的時(shí)頻分析,。

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    A new method was proposed for improving the performance of the Wigner Ville distribution. The WVDs of the subbands gotten by DCHWT (discrete cosine harmonic wavelet transform), was concatenated to obtain an overall WVD, significantly free from the existence of cross-terms was applied to reduce the Gibbs effect from the truncation of the Wigner Ville distribution kernel. Examples of application demonstrated that this proposed method obeys the desirable properties of time-frequency resolution and strikingly reduces cross-terms. This method can realize the simple and fast algorithm through DCT discrete cosine transform and is suitable for joint time-frequency analysis of non-stationary engineering signal.

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丁建明,林建輝,楊強(qiáng),陳哲明.基于信號(hào)分解和群延時(shí)的維格納分布改進(jìn)方法[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2010,41(2):198-202. Ding Jianming, Lin Jianhui, Yang Qiang, Chen Zheming. Improved Wigner Ville Distribution Based on Signal Decomposition and Modified Magnitude Group Delay[J]. Transactions of the Chinese Society for Agricultural Machinery,2010,41(2):198-202.

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