TY - GEN
T1 - Lifting factorization and design based on stationary wavelet transform
AU - Meng, Jinli
AU - Pan, Quan
AU - Zhang, Hongcai
PY - 2005
Y1 - 2005
N2 - The main advantage of the stationary wavelet transform is its translation invariance of the wavelet coefficients. In this paper, based on the polyphase representation of wavelet transform, a new structure is proposed to that the traditional stationary wavelet transform can be obtained with a finite number of alternating lifting and dual lifting steps starting from the Lazy wavelet, using the equivalent relation of position-swapping between up (down) sampler and filter. Moreover, one can increase the vanishing moments of stationary wavelet by designing proper (dual) lifting steps. It overcomes the drawback in former algorithm, which can only be used to design interpolating wavelets starting from odd-even splitting. Furthermore, we present that the lifting factorization asymptotically reduces the computational complexity of the standard algorithm by a factor two.
AB - The main advantage of the stationary wavelet transform is its translation invariance of the wavelet coefficients. In this paper, based on the polyphase representation of wavelet transform, a new structure is proposed to that the traditional stationary wavelet transform can be obtained with a finite number of alternating lifting and dual lifting steps starting from the Lazy wavelet, using the equivalent relation of position-swapping between up (down) sampler and filter. Moreover, one can increase the vanishing moments of stationary wavelet by designing proper (dual) lifting steps. It overcomes the drawback in former algorithm, which can only be used to design interpolating wavelets starting from odd-even splitting. Furthermore, we present that the lifting factorization asymptotically reduces the computational complexity of the standard algorithm by a factor two.
KW - Lazy wavelet
KW - Lifting scheme
KW - Stationary wavelet transform
KW - Translation-invariance
UR - http://www.scopus.com/inward/record.url?scp=33750123346&partnerID=8YFLogxK
U2 - 10.1109/ISCIT.2005.1566928
DO - 10.1109/ISCIT.2005.1566928
M3 - 会议稿件
AN - SCOPUS:33750123346
SN - 0780395387
SN - 9780780395381
T3 - ISCIT 2005 - International Symposium on Communications and Information Technologies 2005, Proceedings
SP - 586
EP - 589
BT - ISCIT 2005 - International Symposium on Communications and Information Technologies 2005, Proceedings
T2 - ISCIT 2005 - International Symposium on Communications and Information Technologies 2005
Y2 - 12 October 2005 through 14 October 2005
ER -