Real and complex analysis, 3rd ed.
Real and complex analysis, 3rd ed.
The H2 problem for sampled-data systems m for sampled-data systems
Systems & Control Letters
An introduction to infinite-dimensional linear systems theory
An introduction to infinite-dimensional linear systems theory
Computer-controlled systems (3rd ed.)
Computer-controlled systems (3rd ed.)
Signals & systems (2nd ed.)
On a key sampling formula relating the Laplace and L transforms
Systems & Control Letters
Control of Uncertain Sampled-Data Systems
Control of Uncertain Sampled-Data Systems
Optimal Sampled-Data Control Systems
Optimal Sampled-Data Control Systems
Digital Signal Processing (4th Edition)
Digital Signal Processing (4th Edition)
Sampling from a system-theoretic viewpoint part II: noncausal solutions
IEEE Transactions on Signal Processing
Design of multirate filter banks by ℋ∞optimization
IEEE Transactions on Signal Processing
Nonideal sampling and interpolation from noisy observations in shift-invariant spaces
IEEE Transactions on Signal Processing
Sampling from a system-theoretic viewpoint part II: noncausal solutions
IEEE Transactions on Signal Processing
| Hi-index | 35.69 |
This paper is first in a series of papers studying a system-theoretic approach to the problem of reconstructing an analog signal from its samples. The idea, borrowed from earlier treatments in the control literature, is to address the problem as a hybrid model-matching problem in which performance is measured by system norms. In this paper we present the paradigm and revise underlying technical tools, such as the lifting technique and some topics of the operator theory. This material facilitates a systematic and unified treatment of a wide range of sampling and reconstruction problems, recovering many hitherto considered different solutions and leading to new results. Some of these applications are discussed in the second part.