Title :
Generalized sampling expansion on lattices
Author_Institution :
Dept. of Math., Case Western Reserve Univ., Cleveland, OH, USA
fDate :
6/1/2005 12:00:00 AM
Abstract :
The Papoulis Generalized Sampling Expansion (GSE) can be combined with Petersen-Middleton lattice sampling to obtain a GSE for n-dimensional bandlimited functions. Such expansions will be discussed for nonperiodic/periodic hybrids. The periodic and nonperiodic cases are incorporated as special cases. For a restrictive special case, a Parseval-like formula is proved for n-dimensional bandlimited functions sampled on periodic, nonuniform sample sets.
Keywords :
signal sampling; telecommunication channels; generalized sampling expansion; lattice sampling; multichannel sampling expansion; n-dimensional bandlimited function; nonperiodic hybrid; periodic hybrid; Filtering; Filters; Lattices; Mathematics; Multidimensional systems; Nonuniform sampling; Sampling methods; Two dimensional displays; Lattices; multichannel sampling expansion; periodic nonuniform sampling lattices;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2005.847841
