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Chris Brislawn and Brendt Wohlberg, "Symmetry-Preserving Lattice Vector Quantization for Reversible Half Sample Symmetric FIR Filter Banks", in *Proceedings of the 2006 Asilomar Conference on Signals, Systems, and Computers*, (Pacific Grove, CA, USA), doi:10.1109/ACSSC.2006.354876, pp. 878--882, Oct 2006

Linear phase FIR filter banks form an integral part of the ISO/IEC JPEG 2000 image coding standard. One feature they enable is lossless subband coding based on reversible filter bank implementations. While this meshes well with symmetric boundary-handling techniques for whole-sample symmetric (oddlength) linear phase filters, there are obstructions with half sample symmetric (even-length) filters, a fact that influenced the JPEG 2000 standard. We show how these obstructions can be overcome for a class of half-sample symmetric filter banks by employing lattice vector quantization to ensure symmetry preserving rounding in reversible implementations.

@inproceedings{brislawn-2006-symmetry,

author = {Chris Brislawn and Brendt Wohlberg},

title = {Symmetry-Preserving Lattice Vector Quantization for Reversible Half Sample Symmetric {FIR} Filter Banks},

year = {2006},

month = Oct,

urlpdf = {http://brendt.wohlberg.net/publications/pdf/brislawn-2006-symmetry.pdf},

booktitle = {Proceedings of the 2006 Asilomar Conference on Signals, Systems, and Computers},

address = {Pacific Grove, CA, USA},

doi = {10.1109/ACSSC.2006.354876},

pages = {878--882}

}