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Babel function

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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.

Contents

Definition and formulation

The Babel function of a dictionary A with normalized columns is a real-valued function that is defined as

where a k are the columns (atoms) of the dictionary A .

Special case

When p=1, the babel function is the mutual coherence.

References

Babel function Wikipedia


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