Source Coding for Synthesizing Correlated Randomness
Source Coding for Synthesizing Correlated Randomness
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DOI：
10.1109/isit44484.2020.9174002
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发表时间：
2020-04
期刊：
影响因子：
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通讯作者：
Touheed Anwar Atif;Arun Padakandla;S. Pradhan
中科院分区：
文献类型：
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作者：
Touheed Anwar Atif;Arun Padakandla;S. Pradhan
我们考虑了一个场景，其中提供了两个政党爱丽丝和鲍勃的$ x_1^n $和$ x_2^n $ - 来自pmf $ {p _ {p _ {{x _ {x _ {\ text {1}}}}} {x _ {x _ {x _ { {2}}}}}} $。爱丽丝（Alice）和鲍勃（Bob）可以分别与查尔斯（Charles）（无噪声）R1和R2的通信链接进行沟通。他们的目标是启用Charles生成样本yn，以使triple $ \ left（{x_1^n，x_2^n，{y^n}}} \ right）$具有一个PMF，总体变化，到$ \ $ \ prod {{p _ {{x_1} {x_2} y}}}} $。此外，这三方可能在速率C处具有共同的随机性。我们解决了可以实现上述目标的速率三元组（R1，R2，C）的问题。我们提供一组足够的条件，即这三方设置的可实现的利率区域。我们的工作还提供了一个点对点设置的完整表征，其中鲍勃不存在，并提供了侧面信息。
We consider a scenario wherein two parties Alice and Bob are provided $X_1^n$ and $X_2^n$ - samples that are IID from a PMF ${p_{{X_{\text{1}}}{X_{\text{2}}}}}$. Alice and Bob can communicate to Charles over (noiseless) communication links of rate R1 and R2 respectively. Their goal is to enable Charles generate samples Yn such that the triple $\left( {X_1^n,X_2^n,{Y^n}} \right)$ has a PMF that is close, in total variation, to $\prod {{p_{{X_1}{X_2}Y}}} $. In addition, the three parties may posses shared common randomness at rate C. We address the problem of characterizing the set of rate triples (R1, R2,C) for which the above goal can be accomplished. We provide a set of sufficient conditions, i.e., an achievable rate region for this three party setup. Our work also provides a complete characterization of a point-to-point setup wherein Bob is absent and Charles is provided with side-information.