Flexible design of multidimensional perfect reconstruction FIR 2-band filters using transformations of variables
- 1 January 1993
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Image Processing
- Vol. 2 (4) , 466-480
- https://doi.org/10.1109/83.242356
Abstract
An approach to designing multidimensional linear-phase FIR diamond subband filters having the perfect reconstruction property is presented. It is based on a transformation of variables technique and is equivalent to the generalized McClellan transformation. Methods for designing a whole class of transformation are given. The approach consists of two parts; design of the transformation and design of the 1-D filters. The use of Lagrange halfband filters to design the 1-D filters is discussed. The modification of a particular Lagrange halfband filter which gives a pair of simple 1-D filters that are almost similar to each other in their frequency characteristics but still form a perfect reconstruction pair is presented. The design technique is extended to other types of two-channel sampling lattice and subband shapes, in particular, the parallelogram and the diagonally quadrant subband cases. Several numerical design examples are presented to illustrate the flexibility of the design method.Keywords
This publication has 21 references indexed in Scilit:
- Theory and design of multidimensional QMF sub-band filters from 1-D filters and polynomials using transformsIEE Proceedings I Communications, Speech and Vision, 1993
- A filter bank for the directional decomposition of images: theory and designIEEE Transactions on Signal Processing, 1992
- Subband decomposition procedure for quincunx sampling gridsPublished by SPIE-Intl Soc Optical Eng ,1991
- Wavelet construction using Lagrange halfband filtersIEEE Transactions on Circuits and Systems, 1991
- Two-dimensional IIR filters for exact reconstruction in tree-structured sub-band decompositionElectronics Letters, 1987
- The processing of periodically sampled multidimensional signalsIEEE Transactions on Acoustics, Speech, and Signal Processing, 1983
- On half-band, third-band, and Nth-band FIR filters and their designIEEE Transactions on Acoustics, Speech, and Signal Processing, 1982
- McClellan transformations for two-dimensional digital filtering-Part II: ImplementationIEEE Transactions on Circuits and Systems, 1976
- McClellan transformations for two-dimensional digital filtering-Part I: DesignIEEE Transactions on Circuits and Systems, 1976
- A computer program for designing optimum FIR linear phase digital filtersIEEE Transactions on Audio and Electroacoustics, 1973