INTEGRAL REPRESENTATIONS FOR NONUNIFORM SAMPLING EXPANSIONS,
Abstract
The paper investigates an integral representation, involving the Green's function of a boundary-value problem, for the derivation of sampling expansions. The representation is generalized to include non-self-adjoint boundary conditions, and resulting physical interpretation is emphasized. Two cases are considered in detail. The first order differential operator is treated with non-self-adjoint boundary conditions. The representation for this case yields periodically nonuniform and derivative sampling expansions, with corresponding system interpretations. The second order differential operator is further investigated. The general expression for the interpolating function is derived. Examples resulting in nonuniform sampling expansions are given. Further examples are discussed to illustrate the validity of the method for singular problems as well. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 05, 1966
- Accession Number
- AD0642583
Entities
People
- A. H. Haddad
- J. B. Thomas
Organizations
- Princeton University