Complete characterization of stable bandlimited systems under quantization and thresholding
IEEE Transactions on Signal Processing
System representations for the Zakai class with applications
IEEE Transactions on Information Theory
Distributional system representations on bandlimited signals
IEEE Transactions on Signal Processing
Approximation of wide-sense stationary stochastic processes by Shannon sampling series
IEEE Transactions on Information Theory
| Hi-index | 754.96 |
Sampling representations of bounded linear operators (BLOs) acting on extended classes of band-limited signals are derived. These are classes of deterministic signals that are not necessarily square-integrable and random signals with covariance functions that are not necessarily square-integrable on the plane. These classes consist of signals whose Fourier transforms, defined as generalized functions (or distributions), have supports that are subsets of compact sets. The merit of these representations lies in the fact that the image of a signal under an operator may be reconstructed from the samples of the original signal rather than the samples of the image. For example, the derivative of a signal, of any order, may be expressed in terms of the samples of the signal itself instead of the samples of the derivative