Journal of the
Korean Mathematical Society JKMS

Accuracy of the scaling function is very crucial in wavelet theory, or correspondingly, in the study of wavelet filter banks. We are mainly interested in vector-valued filter banks having matrix factorization and indicate how to choose block central symmetric matrices to construct multi-wavelets with suitable accuracy.

Keywords: multi-wavelets, PR condition, accuracy, block central symmetric matrix

MSC numbers: 42C40, 65T60