Orthogonal periodic wavelet packets
Mao Yi-bo · Journal of Hubei University · 2011
The notion of orthogonal periodic wavelet packets was introduced,and its property was investigated.The decomposition algorithm and Fourier transformation for orthogonal periodic wavelet packets were obtained.It showed that one could decompose a periodic wavelet space through orthogonal direct sum different from wavelet in real line.The times of decomposition were restricted by dimension of wavelet space.For orthogonal periodic wavelet space,one could decompose it at most j times to direct sum of 2j wavelet subspace with 1 dimension.