Title :
Commutativity of up/down sampling
Author :
Kalker, A.A.C.M.
Author_Institution :
Philips Res. Labs., Eindhoven, Netherlands
fDate :
3/12/1992 12:00:00 AM
Abstract :
A technique for the construction of perfect reconstruction filter banks with division into non-uniform channels has been introduced. This construction uses the commutativity of subsampling and upsampling. Explicit conditions for commutativity have been presented only for the 1-D and 2-D cases. The author generalises the conditions for commutativity of subsampling and upsampling to arbitrary dimensions.
Keywords :
digital filters; filtering and prediction theory; matrix algebra; sampled data systems; commutativity; perfect reconstruction filter banks; subsampling; up/down sampling; upsampling;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19920358