The role of Smith-form decomposition of integer-matrices, in multidimensional multirate systems
- 1 January 1991
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- No. 15206149,p. 1777-1780 vol.3
- https://doi.org/10.1109/icassp.1991.150672
Abstract
Multirate topics such as decimation, interpolation, polyphase decomposition, and filter bank theory have been extended in the past for the case of multidimensional systems. It is pointed out that the decimation matrix plays a crucial role in these extensions. Unless the matrix is diagonal, separable techniques cannot be used either for theoretical derivations or practical implementations. In this context, the author introduces a diagonalization technique for the decimation matrix, which brings the results closer to the separable (hence one-dimensional) case.Keywords
This publication has 7 references indexed in Scilit:
- Design of perfect reconstruction multi-dimensional filter banks using cascaded Smith form matricesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Theory of two-dimensional multirate filter banksIEEE Transactions on Acoustics, Speech, and Signal Processing, 1990
- Multirate digital filters, filter banks, polyphase networks, and applications: a tutorialProceedings of the IEEE, 1990
- Perfect reconstruction QMF banks for two-dimensional applicationsIEEE Transactions on Circuits and Systems, 1987
- Two-dimensional IIR filters for exact reconstruction in tree-structured sub-band decompositionElectronics Letters, 1987
- Subband coding of imagesIEEE Transactions on Acoustics, Speech, and Signal Processing, 1986
- The sampling and reconstruction of time-varying imagery with application in video systemsProceedings of the IEEE, 1985