The purpose of this paper is to develop methods that can reconstruct a bandlimited discrete-time signal from an irregular set of samples at unknown locations. We define a solution to the problem using first a geometric and then an algebraic point of view. We find the locations of the irregular set of samples by treating the problem as a combinatorial optimization problem. We employ an exhaustive method and two descent methods: the random search and cyclic coordinate methods. The numerical simulations were made on three types of irregular sets of locations: random sets; sets with jitter around a uniform set; and periodic nonuniform sets. Furthermore, for the periodic nonuniform set of locations, we develop a fast scheme that reduces the comp...
The problem of reconstructing an N-point discrete signal from a part of its known sample points and ...
Two novel block-based algorithms are presented for the reconstruction of uniform samples given the n...
Sampling plays a critical role in remote sensing and signal analysis. In conventional sampling theor...
AbstractDiscrete irregular sampling is the problem of recovering a band-limited discrete signal from...
It is possible to reconstruct a signal from cyclic nonuniform samples and thus take advantage of a l...
This thesis is concerned with the problem of irregular sampling with derivatives. In one dimension, ...
AbstractWe derive algorithms for the iterative reconstruction of discrete band-limited signals from ...
This paper presents a straightforward method to convert non-uniformly sampled data to uniform sample...
Theoretically, irregularly sampled bandlimited signals can be reconstructed even if very few demands...
We give an overview of recent developments in the problem of reconstructing a band-limited ...
AbstractWe give an overview of recent developments in the problem of reconstructing a band-limited s...
In this thesis, we consider three main resampling problems. The first is the sampling rate conversio...
A bandlimited signal can be reconstructed from its periodic nonuniformly spaced samples provided the...
International audienceWe study the problem of sampling k-bandlimited signals on graphs. We propose t...
In remote sensing with a large array of spatially distributed sensors, localization of individual se...
The problem of reconstructing an N-point discrete signal from a part of its known sample points and ...
Two novel block-based algorithms are presented for the reconstruction of uniform samples given the n...
Sampling plays a critical role in remote sensing and signal analysis. In conventional sampling theor...
AbstractDiscrete irregular sampling is the problem of recovering a band-limited discrete signal from...
It is possible to reconstruct a signal from cyclic nonuniform samples and thus take advantage of a l...
This thesis is concerned with the problem of irregular sampling with derivatives. In one dimension, ...
AbstractWe derive algorithms for the iterative reconstruction of discrete band-limited signals from ...
This paper presents a straightforward method to convert non-uniformly sampled data to uniform sample...
Theoretically, irregularly sampled bandlimited signals can be reconstructed even if very few demands...
We give an overview of recent developments in the problem of reconstructing a band-limited ...
AbstractWe give an overview of recent developments in the problem of reconstructing a band-limited s...
In this thesis, we consider three main resampling problems. The first is the sampling rate conversio...
A bandlimited signal can be reconstructed from its periodic nonuniformly spaced samples provided the...
International audienceWe study the problem of sampling k-bandlimited signals on graphs. We propose t...
In remote sensing with a large array of spatially distributed sensors, localization of individual se...
The problem of reconstructing an N-point discrete signal from a part of its known sample points and ...
Two novel block-based algorithms are presented for the reconstruction of uniform samples given the n...
Sampling plays a critical role in remote sensing and signal analysis. In conventional sampling theor...