中文摘要：

为适应屋盖结构随机脉动风速场谱分析的需要，根据数字信号处理基本原理和小波包分析理论，推导出小波包系数与功率谱的关系式，从而建立了一种基于小波包变换的随机信号功率谱估计的新方法．然后将该法应用于一个大跨屋盖模拟风速场的功率谱计算，检验了该法对随机信号的谱估计精度．计算结果显示，所提出的方法速度快、精度高，是一种适用于大型屋盖风速场的高分辨率谱估计算法．

英文摘要：

To satisfy the requirement of spectral analysis for the stochastic fluctuating wind velocity field of roof structures, the relational expression of wavelet packet coefficients and power spectrum is derived based on the principles of digital signal processing and the theories of wavelet packet analysis. Therefore a novel approach using the wavelet packet transform is proposed for power spectrum estimation of stochastic signals. Then the approach is applied to compute the power spectra of the simulated wind velocity field of a large span roof. The accuracy of spectral estimation for stochastic signals is verified. The numerical results show that the proposed approach is efficient and accurate with high resolution. So it is applicable for power spectrum estimation of wind velocity field of large roofs.