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基于多尺度Chirplet稀疏分解和Wigner-Ville變換的時(shí)頻分析方法

發(fā)布時(shí)間:2018-06-21 11:13

  本文選題:多尺度Chirplet + Wigner-Ville變換; 參考:《電子與信息學(xué)報(bào)》2017年06期


【摘要】:針對(duì)多分量多項(xiàng)式相位信號(hào)(mc-PPS)的Wigner-Ville分布存在的時(shí)頻干擾問(wèn)題,該文提出一種基于多尺度Chirplet稀疏分解和Wigner-Ville變換的時(shí)頻分析方法。該方法采用多尺度的Chirplet基函數(shù)對(duì)信號(hào)進(jìn)行投影分解,通過(guò)延時(shí)相關(guān)解調(diào)的分?jǐn)?shù)階傅里葉變換(FRFT)搜索投影系數(shù)最大的基函數(shù),將搜索得到的基函數(shù)通過(guò)Wigner-Ville變換和最佳路徑連接方法,逐次獲得使分解信號(hào)能量最大的信號(hào)分量及其時(shí)頻分布。仿真結(jié)果表明,該方法能在低信噪比條件下有效抑制等振幅mc-PPS的自交叉項(xiàng)和互交叉項(xiàng)的干擾,具有最佳的時(shí)頻聚集性,克服了全局搜索基函數(shù)計(jì)算量大的問(wèn)題,適用于非平穩(wěn)信號(hào)的分析和處理。
[Abstract]:This paper presents a time-frequency analysis method based on multi-scale Chirplet sparse decomposition and Wigner-Ville transform to solve the time-frequency interference problem in the Wigner-Ville distribution of multi-component polynomial phase signals. In this method, the multi-scale Chirplet basis function is used to decompose the signal, and the fractional Fourier transform (FRFT) of delay correlation demodulation is used to search the basis function with the largest projection coefficient. Through the Wigner-Ville transform and the optimal path connection method, the signal components and their time-frequency distributions of the decomposed signal energy are obtained successively. The simulation results show that the proposed method can effectively suppress the interference of self-crossover and intercrossover terms of constant amplitude mc-PPS under the condition of low signal-to-noise ratio, and has the best time-frequency aggregation, and overcomes the problem of large computation of global search basis function. Suitable for non-stationary signal analysis and processing.
【作者單位】: 重慶郵電大學(xué)信號(hào)與信息處理重慶市重點(diǎn)實(shí)驗(yàn)室;
【基金】:國(guó)家自然科學(xué)基金(61671095,61371164,61275099) 信號(hào)與信息處理重慶市市級(jí)重點(diǎn)實(shí)驗(yàn)室建設(shè)項(xiàng)目(CSTC2009 CA2003) 重慶市教育委員會(huì)科研項(xiàng)目(KJ130524,KJ1600427,KJ1600429)~~
【分類號(hào)】:TN911.7


本文編號(hào):2048415

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