Abstract | ||
---|---|---|
Perturbation theorems for regular sampling in shift-invariant spaces are derived using a generalized perturbation theorem for frames in a Hilbert space, which generalizes the irregular sampling theorem established by Chen Using this generalized irregular sampling theorem, estimates for the maximum perturbation are obtained. Some typical examples illustrate the result |
Year | DOI | Venue |
---|---|---|
2006 | 10.1109/TIT.2006.881704 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
shift-invariant space,hilbert space,typical example,maximum perturbation,generalized perturbation theorem,irregular sampling theorem,shift-invariant spaces,regular sampling,generalized irregular,perturbation theorem,frame,hilbert spaces,wavelets,perturbation,sampling | Hilbert space,Discrete mathematics,Mathematical analysis,Singular perturbation,Sampling (statistics),Invariant (mathematics),Nyquist–Shannon sampling theorem,Mathematics,Perturbation (astronomy),Wavelet,Nonuniform sampling | Journal |
Volume | Issue | ISSN |
52 | 10 | 0018-9448 |
Citations | PageRank | References |
14 | 1.00 | 9 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ping Zhao | 1 | 48 | 8.60 |
Chun Zhao | 2 | 18 | 3.06 |
P. G. Casazza | 3 | 14 | 1.00 |