### Abstract

We explore a basic noise-free signaling scenario where coordination and communication are naturally merged. A random signal X _{1},⋯, X _{n} is processed to produce a control signal or action sequence A _{1},⋯, A _{n}, which is observed and further processed (without access to X _{1},⋯, X _{n}) to produce a third sequence B _{1}, , B _{n}. The object of interest is the set of empirical joint distributions p(x, a, b) that can be achieved in this setting. We show that H(A) ≥ I(X;A,B) is the necessary and sufficient condition for achieving p(x, a, b) when no causality constraints are enforced on the encoders. We also give results for various causality constraints. This setting sheds light on the embedding of digital information in analog signals, a concept that is exploited in digital watermarking, steganography, cooperative communication, and strategic play in team games such as bridge.

Original language | English (US) |
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Title of host publication | 2011 IEEE Information Theory Workshop, ITW 2011 |

Pages | 467-471 |

Number of pages | 5 |

DOIs | |

State | Published - Dec 21 2011 |

Event | 2011 IEEE Information Theory Workshop, ITW 2011 - Paraty, Brazil Duration: Oct 16 2011 → Oct 20 2011 |

### Publication series

Name | 2011 IEEE Information Theory Workshop, ITW 2011 |
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### Other

Other | 2011 IEEE Information Theory Workshop, ITW 2011 |
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Country | Brazil |

City | Paraty |

Period | 10/16/11 → 10/20/11 |

### All Science Journal Classification (ASJC) codes

- Information Systems

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## Cite this

*2011 IEEE Information Theory Workshop, ITW 2011*(pp. 467-471). [6089504] (2011 IEEE Information Theory Workshop, ITW 2011). https://doi.org/10.1109/ITW.2011.6089504