Real and complex analysis, 3rd ed.
Real and complex analysis, 3rd ed.
An introduction to wavelets
A general sampling theory for nonideal acquisition devices
IEEE Transactions on Signal Processing
The Zak transform and sampling theorems for wavelet subspaces
IEEE Transactions on Signal Processing
On sampling in shift invariant spaces
IEEE Transactions on Information Theory
A sampling theorem for wavelet subspaces
IEEE Transactions on Information Theory - Part 2
| Hi-index | 7.29 |
Shannon's sampling formula has been extended to subspaces {V"j}"j"@?"Z in multiresolution analysis. When we apply the corresponding sampling formula for V"0 to a function which does not belong to this space, the so-called aliasing error arises. This paper deals with the aliasing error, Ef, whenever f is in V"1. We obtain an expression for its Fourier transform, Ef@^, which allows us to give estimations of the aliasing error both in L^2(R)-norm and in L^~(R)-norm. Finally, we carry out a study of the aliasing error in the case when f belongs to V"2.