Header menu link for other important links
Shift invariant spaces in L2(R, Cm) with m generators
, John A., Kulkarni S.H.
Published in Springer Science and Business Media B.V.
The paper deals with sampling and reconstruction of vector valued functions in a shift invariant space with multiple generators. Unlike the case of a shift invariant space with multiple generators in L2(R) , when the dimension of the vectors is the same as the number of generators, Z turns out to be a stable set of sampling. A sampling formula for reconstructing a function from its samples at integer points is derived and the problem of sampling on a perturbed set of integers is discussed. An illustration of sampling and reconstruction of a function in L2(R, R2) on a finite interval is given using Matlab. © 2020, Forum D'Analystes, Chennai.
About the journal
JournalData powered by TypesetJournal of Analysis
PublisherData powered by TypesetSpringer Science and Business Media B.V.
Open AccessNo