Stability and Causality of LTI Systems Described by Difference Equations

In this lesson you will learn the requirements for a system to be stable and causal. These critical properties are dependent on the locations of the poles in the $z$-plane. You will gain key insights about the most widely used class of systems in signal processing. Systems that are not stable are of no practical utility. Similarly, causality is required for any system that processes data as it is collected. These properties play a foundational role in filter design, equalization, and system modeling.