Title
Optimal Stationary Self-Triggered Sampling For Estimation
Abstract
In this paper, we study optimal stationary sampling for transmission of measurements of a stochastic process from a source encoder to a source decoder through a costly communication channel. We measure information transferred over a time interval by the change in the decoder's entropy regarding the state of the process given the transmitted measurements. In our setting, the encoder employs a sampler to control the information flow in the channel. The problem is casted as a discounted infinite horizon optimization problem that takes into account the transferred information and the paid price. We derive the optimal stationary sampling policy, and propose two computational methods with convergence guarantees by using techniques from approximate dynamic programing. In addition, we introduce two triggering mechanisms based on the value of information and on the covariance threshold that can generate the optimal policy. Finally, we present some numerical and simulation results.
Year
Venue
Keywords
2016
2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC)
Approximate Policy Iteration, Approximate Value Iteration, Covariance Threshold, Self-Triggered Sampling, Optimal Stationary Policy, Value of Information
Field
DocType
ISSN
Convergence (routing),Dynamic programming,Mathematical optimization,Control theory,Computer science,Stochastic process,Communication channel,Encoder,Sampling (statistics),Decoding methods,Optimization problem
Conference
0743-1546
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Touraj Soleymani1163.04
Sandra Hirche2961106.36
John S. Baras31953257.50