The construction of high-order b-spline wavelets and their decomposition relations for fault detection and localisation in composite beams
Andrzej Katunin · Zagadnienia Eksploatacji Maszyn · 2011
B-spline scaling functions and wavelets have found wide applicability in many scientific and practical problems thanks to their unique properties. They show considerably better results in comparison to other wavelets, and they are used as well in mathematical approximations, signal processing, image compression, etc. But only the first four wavelets from this family were mathematically formulated. In this work, the author formulates the quartic, quintic and sextic B-spline wavelets and their decomposition relations in explicit form. This allows for the improvement of the sensitivity of fault detection and localisation in composite beams using discrete wavelet transform with decomposition.