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 :
– The open unit bidisk | ![]() |
– The closed unit bidisk | ![]() |
– The unit bi-circle or toric unit | ![]() |
Here are the three subsets of :
– The open unit disk | ![]() |
– The closed unit disk | ![]() |
- The unit circle | ![]() |
Let us consider a continuous function : that does not vanish in the closed unit bidisk. It results from the continuity of |f| and the ...
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