Vector quantization and signal compression
Vector quantization and signal compression
Multirate systems and filter banks
Multirate systems and filter banks
JPEG 2000: Image Compression Fundamentals, Standards and Practice
JPEG 2000: Image Compression Fundamentals, Standards and Practice
CREW: Compression with Reversible Embedded Wavelets
DCC '95 Proceedings of the Conference on Data Compression
Symmetric-extension-compatible reversible integer-to-integer wavelet transforms
IEEE Transactions on Signal Processing
The polyphase-with-advance representation and linear phase lifting factorizations
IEEE Transactions on Signal Processing - Part I
New networks for perfect inversion and perfect reconstruction
IEEE Journal on Selected Areas in Communications
An image multiresolution representation for lossless and lossy compression
IEEE Transactions on Image Processing
Highly scalable video compression with scalable motion coding
IEEE Transactions on Image Processing
Group lifting structures for multirate filter banks I: uniqueness of lifting factorizations
IEEE Transactions on Signal Processing
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Symmetric pre-extension is a standard approach to boundary handling for finite-length input vectors with linear phase filter banks. It works with both conventional linear implementations and the so-called reversible, or integer-to-integer, implementations of odd-length linear phase (whole-sample symmetric) filter banks. In comparison, significant difficulties arise when using symmetric pre-extension on reversible filter banks with even-length (half-sample symmetric) linear phase filters. An alternative approach is presented using lifting step extension, in which boundary extensions are performed in each step of a lifting factorization, avoiding some of these difficulties while preserving reversibility and retaining the nonexpansive property of symmetric pre-extension. Another alternative that is capable of preserving both reversibility and subband symmetry for half-sample symmetric filter banks is developed based on ideas from the theory of lattice vector quantization. The practical ramifications of this work are illustrated by describing its influence on the specification of filter bank algorithms in Part 2 of the ISO/IEC JPEG 2000 image coding standard.