A characterization of all solutions to the four block general distance problem
SIAM Journal on Control and Optimization
An introduction to infinite-dimensional linear systems theory
An introduction to infinite-dimensional linear systems theory
Matrix computations (3rd ed.)
Indefinite-quadratic estimation and control: a unified approach to H2 and H∞ theories
Indefinite-quadratic estimation and control: a unified approach to H2 and H∞ theories
SIAM Journal on Control and Optimization
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 I: concepts and tools
IEEE Transactions on Signal Processing
Self-Similarity: Part II—Optimal Estimation of Fractal Processes
IEEE Transactions on Signal Processing
Cardinal exponential splines: part I - theory and filtering algorithms
IEEE Transactions on Signal Processing
Nonideal Sampling and Regularization Theory
IEEE Transactions on Signal Processing
Principal component filter banks for optimal multiresolutionanalysis
IEEE Transactions on Signal Processing
Generalized smoothing splines and the optimal discretization of the Wiener filter
IEEE Transactions on Signal Processing
Sampling from a system-theoretic viewpoint part I: concepts and tools
IEEE Transactions on Signal Processing
Technical communique: Frequency-truncated system norms
Automatica (Journal of IFAC)
Hi-index | 35.69 |
This paper puts to use concepts and tools introduced in Part I to address a wide spectrum of noncausal sampling and reconstruction problems. Particularly, we follow the system-theoretic paradigm by using systems as signal generators to account for available information and system norms (L2 and L∞) as performance measures. The proposed optimization-based approach recovers many known solutions, derived hitherto by different methods, as special cases under different assumptions about acquisition or reconstructing devices (e.g., polynomial and exponential cardinal splines for fixed samplers and the Sampling Theorem and its modifications in the case when both sampler and interpolator are design parameters). We also derive new results, such as versions of the Sampling Theorem for downsampling and reconstruction from noisy measurements, the continuous-time invariance of a wide class of optimal sampling-and-reconstruction circuits, etcetera.