Ten lectures on wavelets
Multirate systems and filter banks
Multirate systems and filter banks
Wavelets and subband coding
JPEG 2000: Image Compression Fundamentals, Standards and Practice
JPEG 2000: Image Compression Fundamentals, Standards and Practice
DCC '00 Proceedings of the Conference on Data Compression
The polyphase-with-advance representation and linear phase lifting factorizations
IEEE Transactions on Signal Processing - Part I
Gain scaling for multirate filter banks
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
Group lifting structures for multirate filter banks I: uniqueness of lifting factorizations
IEEE Transactions on Signal Processing
Group lifting structures for multirate filter banks II: linear phase filter banks
IEEE Transactions on Signal Processing
| Hi-index | 0.09 |
The DC and Nyquist responses of the filters in a two-channel perfect reconstruction filter bank are expressed in terms of the lifting filters in a lifting decomposition. The computation makes use of the cascade-form representation of lifting steps as lower- and upper-triangular factor matrices in the polyphase-with-advance representation. A functional relationship is derived connecting the DC and Nyquist responses via the polyphase determinant, and it is shown that the responses for a lifted filter bank can be computed recursively using the DC responses of the lifting filters. These results are applied to derive the filter bank normalization specifications in Part 2 of the ISO/IEC JPEG 2000 still image coding standard.