Name
Abstract | ||
|---|---|---|
A unified approach to the representation and processing of a class of images which are not bandlimited but belong to the space of locally bandlimited signals is presented. A nonuniform sampling theorem (Clark et al, 1985) for functions belonging to this space is extended, and a class of nonstationary stochastic processes is considered. The space of locally bandlimited signals is shown to be a reproducing-kernel space. A generalized projection theorem can therefore be applied, yielding either a continuous or a discrete projection filter. The former can be used for image conditioning prior to nonuniform sampling, while the latter provides a general tool for image representation by nonuniform sampling schemes. The problem of finding the local bandwidth of a given signal, in order to generate an optimal sampling scheme, is addressed in the context of signal representation in the combined position-frequency space. The stochastic estimation of parameters which characterize the local bandwidth is discussed. Bounds on the error resulting from the utilization of nonexact position-varying signal parameters are derived |
Year | DOI | Venue |
|---|---|---|
1993 | 10.1109/78.205725 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
nonuniform sampling,image processing,parameter estimation,signal generators,signal processing,bandwidth,stochastic processes,stochastic process | Signal processing,Mathematical optimization,Bandlimiting,Image representation,Image processing,Stochastic process,Bandwidth (signal processing),Estimation theory,Mathematics,Nonuniform sampling | Journal |
Volume | Issue | ISSN |
41 | 3 | 1053-587X |
Citations | PageRank | References |
17 | 1.94 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yehoshua Y. Zeevi | 1 | 610 | 248.69 |
| Eyal Shlomot | 2 | 191 | 18.79 |