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Flexible design of multidimensional perfect reconstruction FIR 2-band filters using transformations of variables

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2 Author(s)
D. B. H. Tay ; Dept. of Eng., Cambridge Univ., UK ; N. G. Kingsbury

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

Published in:

IEEE Transactions on Image Processing  (Volume:2 ,  Issue: 4 )