A power spectrum estimation approach for fluctuating wind velocity field based on wavelet packet analysis

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.