Causal Rate Distortion Function and Relations to Filtering Theory

TL;DR

This paper introduces a causal rate distortion function, explores its solution, and discusses its connection to filtering theory through a causal constraint on the reconstruction kernel.

Contribution

It defines a causal rate distortion function and establishes its relationship with filtering theory by imposing a causal realizability constraint.

Findings

The causal rate distortion function is formally defined.

A solution to the causal rate distortion problem is provided.

The relation to filtering theory is elucidated through a causal constraint.

Abstract

A causal rate distortion function is defined, its solution is described, and its relation to filtering theory is discussed. The relation to filtering is obtained via a causal constraint imposed on the reconstruction kernel to be realizable.