小波变换用于Wigner-Ville分布交叉项的抑制

Applying Wavelet Transform to the Suppression of the Interference-terms of Wigner-Ville Distribution

基于 Wingner- Ville分布良好的时频性质 ,针对它的交叉项的高频振荡特性 ,利用二维张量积小波对信号的 Wigner- Ville分布进行分解 ,用低频系数重构时频图 ,使交叉项干扰受到抑制 ,并就以 4个高斯包络正弦信号和 Wigner- Ville分布为例 ,用双正交小波作分解和重构说明了交叉项抑制的方法和过程 .数值计算表明 ,该方法对交叉项的抑制优于伪 Wigner-

Wingner Ville distribution has good time frequency characteristic. Its interference terms are oscillatory at high frequency. But after Wigner Ville distribution of a signal is decomposed and reconstructed by 2D tensor product wavelet analysis, the interference terms can be suppressed. The method is stated in detail. And an example is presented for illustrating the application of it. The result of the example shows that the method is very effective.