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Mixed-order sampling of 2-D frequency distributions by using the concept of common superset
- Source :
- Multidimensional Systems and Signal Processing. 30:1237-1262
- Publication Year :
- 2018
- Publisher :
- Springer Science and Business Media LLC, 2018.
-
Abstract
- It has been found that tiling clusters and pair regions of frequency distributions play an important role in the sampling problems. When a given 2-D frequency distribution is made up of one tiling cluster, first-order sampling can be used, and when it is made up of two tiling clusters with the same periodicity lattice system, second-order sampling can be used by dividing tiling clusters into sets of pair regions. However, what kind of sampling can be used for other complicated 2-D frequency distributions has not been found. The sampling of frequency distributions which are made up of tiling clusters that belong to different periodicity lattice systems is discussed in this paper. We introduce the concept of common superset as the lattice system which is the common superset of all the lattice systems derived from individual tiling clusters. In practice, the sampling of a 2-D frequency distribution made up of one main body components and two debris ones is calculated in this paper. This type of sampling is a mixture of first-order and higher-order samplings. This sampling method can be applied to other 2-D frequency distributions, when there is a common superset for the given frequency distribution.
- Subjects :
- Applied Mathematics
Crystal system
Sampling (statistics)
020206 networking & telecommunications
02 engineering and technology
Subset and superset
Computer Science Applications
Artificial Intelligence
Hardware and Architecture
Lattice (order)
Signal Processing
0202 electrical engineering, electronic engineering, information engineering
Cluster (physics)
020201 artificial intelligence & image processing
Frequency distribution
Multidimensional systems
Algorithm
Computer Science::Databases
Software
Information Systems
Mathematics
Subjects
Details
- ISSN :
- 15730824 and 09236082
- Volume :
- 30
- Database :
- OpenAIRE
- Journal :
- Multidimensional Systems and Signal Processing
- Accession number :
- edsair.doi...........bd583e021311e625a2ec1672ccbb4e11