Space-Time Sampling for Network Observability

Sampling Design Optimization for Space-Time Kriging

Network observability transitions.

In the modeling, monitoring, and control of complex networks, a fundamental problem concerns the comprehensive determination of the state of the system from limited measurements. Using power grids as example networks, we show that this problem leads to a new type of percolation transition, here termed a network observability transition, which we solve analytically for the configuration model. W...

Space-Time Filtering, Sampling and Motion Uncertainty

We analyse the structure of filters which are space-time oriented. Basically, this paper consists of two parts. In the first one, we present the cascade of space-time DOG as an energy filter, discuss its general properties and show how to compute its energy. In the second part, we discuss the consequences of applying the sampling theorem to uniformly translating patterns in the presence of moti...

Dynamical Sampling: Time-space Trade-off

We consider the problem of spatiotemporal sampling in which an initial state of an evolution process is to be recovered from a set of samples at different time levels. We are particularly interested in lossless trade-off between spatial and temporal samples. We show that for a special class of signals it is possible to recover the initial state using a reduced number of measuring devices activa...

On sampling without loss of observability/controllability