A wavelet-based algorithm for numerical integration on vibration acceleration measurement data

This paper will present a wavelet-based algorithm for numerical integration. The contribution of the manuscript is that: 1) Define an integration wavelet, which is applied to the numerical integration and applicable for processing stationary vibration data; 2) The basic properties of integration wavelet, such as frequency response, convolution solution with zero mean, stability and ripple in pass-band are discussed, and the investigation results reveal the excellent properties of it; 3) The validity of presented approach is illustrated by numerical integration computation on angular oscillation of a pendulum. The theoretical research and engineering experiments show that the presented approach is valuable in the vibration signal estimation.