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基于时间切变Gabor原子的时频建模
Time-frequency Modeling Based on Time-shearing Gabor Atom
【Author】 MA Shi-wei, WU Cong-mao, YUAN Kang (School of Mechatronic Engineering & Automation, Shanghai University, Shanghai Kay Laboratory of Power Station Automation Technology, Shanghai 200072, China)
【机构】 上海大学机电工程与自动化学院上海市电站自动化技术重点实验室;
【摘要】 对尺度高斯函数与线性调频因子卷积,再做频移和时移,得到了具有四个可调参数的时间切变Gabor原子,其时频分布为聚集于其时间中心和频率中心的具有时间倾斜特性的能量曲线。给出了基于该原子集合的频域自适应信号子空间分解和相应的参数自适应时频分布,其中每步分解都采用模拟变焦距过程估计所得原子的四个参数,可用于对非平稳信号中线性和非线性变频成份进行建模和分析。
【Abstract】 Time-shearing Gabor atom with four adjustable parameters was derived by convolving with a linear frequency modulated factor, modulating and translating to a dilated Gaussian function. Its time-frequency distribution concentrates in its time center and frequency center along energy curve with some oblique in time. Based on the atoms, an adaptive signal subspace decomposition in frequency domain and related parametric adaptive time-frequency distribution was proposed, in which a zooming-like approximation was employed to estimate four parameters of an atom obtained at each decomposition step. The approach can be used to model and analyze the linear or nonlinear frequency-varying components of signals.
【Key words】 time-frequency distribution; Gabor atom; time-shear; adaptive signal decomposition;
- 【会议录名称】 中国系统仿真学会第五次全国会员代表大会暨2006年全国学术年会论文集
- 【会议名称】中国系统仿真学会第五次全国会员代表大会暨2006年全国学术年会
- 【会议时间】2006-08
- 【会议地点】中国黑龙江哈尔滨
- 【分类号】TP391.9
- 【主办单位】中国系统仿真学会