- Definition and formulation
- Special case
- References
- See also
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The Babel function (also known as cumulative coherence) measures the maximum total coherence between a fixed atom and a collection of other atoms in a dictionary.
Definition and formulation
The Babel function of a dictionary 
with normalized columns is a real-valued function that is defined as
where 
are the columns (atoms) of the dictionary .[1][2]
Special case
When p=1, the babel function is the mutual coherence.
References
1. ^{{cite web | title = Greed is good: Algorithmic results for sparse approximation | author=Joel A. Tropp | date=2004 | citeseerx = 10.1.1.84.5256 }}
2. ^Just Relax: Convex Programming Methods for Identifying Sparse Signals in Noise
2. ^Just Relax: Convex Programming Methods for Identifying Sparse Signals in Noise
See also
- Compressed sensing
1 : Signal processing
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