Some Results on Distributed Source Coding for Interactive Function Computation
A two-terminal interactive distributed source coding problem with alternating messages for function computation at both locations is studied. For any number of messages, a computable characterization of the rate region is provided in terms of single-letter information measures. While interaction is...
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| Veröffentlicht in: | IEEE transactions on information theory Jg. 57; H. 9; S. 6180 - 6195 |
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| Hauptverfasser: | , |
| Format: | Journal Article |
| Sprache: | Englisch |
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New York, NY
IEEE
01.09.2011
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 0018-9448, 1557-9654 |
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| Abstract | A two-terminal interactive distributed source coding problem with alternating messages for function computation at both locations is studied. For any number of messages, a computable characterization of the rate region is provided in terms of single-letter information measures. While interaction is useless in terms of the minimum sum-rate for lossless source reproduction at one or both locations, the gains can be arbitrarily large for function computation even when the sources are independent. For a class of sources and functions, interaction is shown to be useless, even with infinite messages, when a function has to be computed at only one location, but is shown to be useful, if functions have to be computed at both locations. For computing the Boolean AND function of two independent Bernoulli sources at both locations, an achievable infinite-message sum-rate with infinitesimal-rate messages is derived in terms of a 2-D definite integral and a rate-allocation curve. The benefit of interaction is highlighted in multiterminal function computation problem through examples. For networks with a star topology, multiple rounds of interactive coding is shown to decrease the scaling law of the total network rate by an order of magnitude as the network grows. |
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| AbstractList | A two-terminal interactive distributed source coding problem with alternating messages for function computation at both locations is studied. For any number of messages, a computable characterization of the rate region is provided in terms of single-letter information measures. While interaction is useless in terms of the minimum sum-rate for lossless source reproduction at one or both locations, the gains can be arbitrarily large for function computation even when the sources are independent. For a class of sources and functions, interaction is shown to be useless, even with infinite messages, when a function has to be computed at only one location, but is shown to be useful, if functions have to be computed at both locations. For computing the Boolean AND function of two independent Bernoulli sources at both locations, an achievable infinite-message sum-rate with infinitesimal-rate messages is derived in terms of a 2-D definite integral and a rate-allocation curve. The benefit of interaction is highlighted in multiterminal function computation problem through examples. For networks with a star topology, multiple rounds of interactive coding is shown to decrease the scaling law of the total network rate by an order of magnitude as the network grows. [PUBLICATION ABSTRACT] A two-terminal interactive distributed source coding problem with alternating messages for function computation at both locations is studied. For any number of messages, a computable characterization of the rate region is provided in terms of single-letter information measures. While interaction is useless in terms of the minimum sum-rate for lossless source reproduction at one or both locations, the gains can be arbitrarily large for function computation even when the sources are independent. For a class of sources and functions, interaction is shown to be useless, even with infinite messages, when a function has to be computed at only one location, but is shown to be useful, if functions have to be computed at both locations. For computing the Boolean AND function of two independent Bernoulli sources at both locations, an achievable infinite-message sum-rate with infinitesimal-rate messages is derived in terms of a 2-D definite integral and a rate-allocation curve. The benefit of interaction is highlighted in multiterminal function computation problem through examples. For networks with a star topology, multiple rounds of interactive coding is shown to decrease the scaling law of the total network rate by an order of magnitude as the network grows. |
| Author | Nan Ma Ishwar, P. |
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| Keywords | Lossless circuit Source coding Resource allocation Distributed source signal Rate distortion theory Boolean function Star network Slepian―Wolf coding Interactive system Distributed source coding Scaling law Information measure Wyner―Ziv coding Source localization interactive coding rate-distortion region Wyner Ziv problem function computation Resource management Target detection two-way coding |
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| SubjectTerms | Applied sciences Boolean functions Coding theory Coding, codes Complexity theory Computational mathematics Computer science Decoding Detection, estimation, filtering, equalization, prediction Distributed source coding Exact sciences and technology function computation Information theory Information, signal and communications theory interactive coding Mathematical problems Random variables Rate-distortion rate-distortion region Signal and communications theory Signal, noise Slepian-Wolf coding Source coding Telecommunications and information theory two-way coding Wyner-Ziv coding |
| Title | Some Results on Distributed Source Coding for Interactive Function Computation |
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