Wavelets from trigonometric spline approach

The explicit form for the orthonormal periodic trigonometric spline wavelet is given. We also give the decomposition and reconstruction equations. Each of the two equations involves only two terms. We prove that the family of periodic trigonometric spline wavelets is dense in L₂ (0,2π]). This work is pastially supported by NNSFC and the Foundation of Zhongshan University Advanced Research Centre.