Multi-aperture diversity imaging: physical limitations to the generalized sampling theorem

2007 ◽  
Author(s):  
Markus E. Testorf ◽  
J. Carter ◽  
Michael A. Fiddy ◽  
Thomas J. Suleski
Keyword(s):  
Sampling Theorem ◽  
Generalized Sampling ◽  
Physical Limitations

FORMULATION AND SOLUTION OF OPTIMIZATION PROBLEM REDUNDANCY SYSTEM COMPRISING SITUATION CENTER

2019 ◽  
pp. 44-50
Author(s):  
A.V. Alekseev
Keyword(s):  
Analytical Model ◽  
Quality Indicators ◽  
Significant Influence ◽  
Optimization Problem ◽  
Sampling Theorem ◽  
Sampling Frequency ◽  
Generalized Sampling ◽  
Optimal Value ◽  
Situation Center ◽  
Situation Centers

The analysis of the concept, properties and features of heterogeneous redundancy in modern complex ergatic systems, including those included in the situation centers (SC). On the basis of the qualimetric paradigm, the generalized analytical model of quality and optimization of quality by private, group, summary and aggregated quality indicators is justified. Practical ways of realization of the model and methods of optimization of the objects which are a part of SC and them as a whole at the expense of reduction of structural, functional and other types of redundancy under the obligatory condition of non-reduction of the required value of quality are given. On the example of the generalized sampling theorem when choosing the optimal value of the sampling frequency of the real bandpass signal, the criticality and significant influence on the redundancy of data in their further processing in the SC is shown.

scholarly journals On Generalizations of Sampling Theorem and Stability Theorem in Shift-Invariant Subspaces of Lebesgue and Wiener Amalgam Spaces with Mixed-Norms

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 331
Author(s):  
Junjian Zhao ◽  
Marko Kostić ◽  
Wei-Shih Du
Keyword(s):  
Invariant Subspaces ◽  
Sampling Theorem ◽  
Stability Theorem ◽  
Wiener Amalgam Spaces ◽  
Mixed Norms ◽  
Sampling Theorems ◽  
Generalized Sampling ◽  
Stability Theorems ◽  
Amalgam Spaces ◽  
New Inequalities

In this paper, we establish generalized sampling theorems, generalized stability theorems and new inequalities in the setting of shift-invariant subspaces of Lebesgue and Wiener amalgam spaces with mixed-norms. A convergence theorem of general iteration algorithms for sampling in some shift-invariant subspaces of Lp→(Rd) are also given.

Sign in / Sign up

Export Citation Format

Share Document