The construction of high-order b-spline wavelets and their decomposition relations for fault detection and localisation in composite beams

摘要: B-spline scaling functions and wavelets have found wide applicability in many scientific practical problems thanks to their unique properties. They show considerably better results comparison other wavelets, they are used as well mathematical approximations, signal processing, image compression, etc. But only the first four from this family were mathematically formulated. In work, author formulates quartic, quintic sextic decomposition relations explicit form. This allows for improvement of sensitivity fault detection localisation composite beams using discrete wavelet transform with decomposition.