arXiv subjects

Nicolas Limal

Publications and source records attributed to Nicolas Limal.

3 recordsLinked to original sources

arXiv2014

Information Flow Decomposition in Feedback Systems: General Case Study

We derive three fundamental decompositions on relevant information quantities in feedback systems. The feedback systems considered in this paper are only restricted to be causal in time domain and the channels are allowed to be subject to arbitrary distribution. These decompositions comprise the well-known mutual information and the directed information, and indicate a law of conservation of information flows in the closed-loop network.

cs.IT↗

arXiv2014

Information Flow Decomposition in Feedback Systems: Linear Time-Invariant Systems with Gaussian Channels

In our companion paper [1], an information identity decomposition has been derived, which can be interpreted as a law of conservation of information flows in feedback systems. In this paper, we further investigate this decomposition result when specified to linear time-invariant(LTI) systems connected with additive white Gaussian noise(AWGN) channels. It is shown that the quantities in the decomposition are characterized in sensitivity function and the law of conservation is verified.

eess.SY↗

arXiv2014

An Information Identity for State-dependent Channels with Feedback

In this technical note, we investigate information quantities of state-dependent communication channels with corrupted information fed back from the receiver. We derive an information identity which can be interpreted as a law of conservation of information flows.

cs.IT↗