连续复小波变换在工程检测数据处理中的应用

Data Processing Based on Complex Continuous Wavelet Transform in Project Test

通过对基桩检测信号进行多尺度一维连续复小波分解,得到局部模极大值线(local maxi-mum line),计算模极大值线对应位置的Lipschitz指数值,从而综合判断信号的奇异点位置.由信号的奇异点位置很容易确定入射波、缺陷反射波、桩底反射波位置.这种分析方法可以实现对反射波测试数据更为灵活精细的分析,消除了由实测信号直接判读反射波到达时刻存在的潜在错误.最后给出了实测桩端部响应信号的分析实例,结果表明:复小波变换判断有效桩长和缺陷位置比实小波变换具有更好的精度.

The singularity can be determined by the local modular maximum line and its Lipschitz exponent, which can be obtained through the multi-scale complex continuous wavelet decomposition. Then the incident wave, pile-toe reflection wave and flaw reflection wave can be judged by the position of singularity. The method provides a more flexible and elaborate analysis and reduces the potential-error reading from the original signal directly. An analytic example tested on the pile-top was completed in this paper. The resultsshow＇that complex wavelet transform is better than real wavelet transform in judging both effective length and flaw posi- tion.