Orthogonal two-direction compactly supported wavelet packets
Lan Li, Na Li, Huae Yang · 2010 3rd International Congress on Image and Signal Processing · 2010
Orthogonal two-direction wavelet packets with dilation α are introduced and discussed their properties by means of matrix theory and operator theory. A new approach for constructing orthogonal two-direction wavelet packets is developed. The formulas for performing iterations and decomposition are established. New Riesz bases for L2(R) are obtained by constructing a series of subspaces of the given orthogonal two-direction wavelet packets. As application, an example is given.