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Partial affine system-based frames and dual frames
- Source :
- Mathematical Methods in the Applied Sciences. 40:6927-6943
- Publication Year :
- 2017
- Publisher :
- Wiley, 2017.
-
Abstract
- In this paper, we introduce the notion of partial affine system that is a subset of an affine system. It has potential applications in signal analysis. A general affine system has been extensively studied; however, the partial one has not. The main focus of this paper is on partial affine system–based frames and dual frames. We obtain a necessary condition and a sufficient condition for a partial affine system to be a frame and present a characterization of partial affine system–based dual frames. Some examples are also provided.
- Subjects :
- Harris affine region detector
General Mathematics
010102 general mathematics
General Engineering
010103 numerical & computational mathematics
01 natural sciences
Affine plane
Affine coordinate system
Affine shape adaptation
Affine combination
Affine hull
Affine group
Affine transformation
0101 mathematics
Algorithm
Mathematics
Subjects
Details
- ISSN :
- 01704214
- Volume :
- 40
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi...........8c1e9aac60e3c9bfe50a0824a136786e