高斯基函数参数自适应信号分解和相应的时频分布

Paramatric Adaptive Decomposition Based on Gaussian Elementary Functions and Related Adaptive Time-frequency Distribution

提出了一种在线性调频高斯基函数上进行信号自适应分解的方法 ,并给出了相应的自适应时频分布 .该分布是一种正的时频能量分布 ,具有较高的时频分辨率且无交叉项干扰 .基函数集是由单一原型高斯函数通过自适应调节其方差、扫频率、时移和频移来匹配信号的局部时频特征而获得 .这些参数和匹配系数中包含了信号的全部信息 ,可以方便地用于进一步的信号处理 .

We propose a method of adaptive signal decomposition based on the linear frequency modulated Gaussian elementary functions and the related adaptive time frequency distribution that is positive, cross term interference free and with better time and frequency resolution. The set of the elementary functions is obtained by the successive matching of the signal local nature with the single prototype Gaussian function through regulating its variance, sweep rate, translation and modulation in an adaptive manner. The matched coefficients and the parameters contain all the information of the signal and can be used for the further processing of the signal. The effectiveness of the method has been proved by simulation results.