11.2. Stability criteria

In this section, we will pre sent different stability criteria for causal and semi-causal recursive filters. A stability criterion is a sufficient and necessary condition to assure BIBO stability.

We start by introducing three subsets of images:

The open unit bidisk images
The closed unit bidisk images
The unit bi-circle or toric unit images

Here are the three subsets of images:

The open unit disk images
The closed unit disk images
- The unit circle images

Let us consider a continuous function images: that does not vanish in the closed unit bidisk. It results from the continuity of |f| and the ...

Get Digital Filters Design for Signal and Image Processing now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.