A realization framework based on a natural state space description of discrete k-D signal processing systems

Abstract

The paper presents a realization framework based on a natural state space description of n-D systems with a focus on design and analysis of discrete domain linear k-D systems. While widely used models satisfy control theoretic needs, the presented description addresses design, analysis, and realization of k-D signal processing systems. It provides a system description that offers better compliance with possible hardware realizations than existing models and thus allows evaluation and consideration of many realization specific effects. Non-causal systems that may be of interest in k-D signal processing can be described as well as shift operations / delays with respect to more than one coordinate direction.