A dichotomy of functions F(X, Y) of correlated sources (X, Y)
A dichotomy of functions F(X, Y) of correlated sources (X, Y)
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相关源 (X, Y) 的函数 F(X, Y) 的二分法
DOI：
10.1109/tit.1987.1057272
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发表时间：
1987
期刊：
影响因子：
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通讯作者：
Kingo Kobayashi
中科院分区：
文献类型：
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作者：
T. Han;Kingo Kobayashi
考虑对相关信源\(X^{n}=(X_{1}, \cdots,X_{n})\)，\(Y^{n} = (Y_{1}, \cdots,Y_{n})\)进行独立编码，以便解码器能够可靠地重现函数\(\{F(X_{i}, Y_{i})\}_{i = 1}^{n}\)。我们确定了在概率密度\(p(x,y)\)对所有\((x,y)\)都为正的情况下，所有可实现速率的集合与斯莱皮恩 - 沃尔夫区域重合的充分必要条件。
Consider separate encoding of correlated sources X^{n}=(X_{l}, \cdots ,X_{n}), Y^{n} = (Y_{l}, \cdots ,Y_{n}) for the decoder to reliably reproduce a function \{F(X_{i}, Y_{i})\}^{n}_{i=1} . We establish the necessary and sufficient condition for the set of all achievable rates to coincide with the Slepian-Wolf region whenever the probability density p(x,y) is positive for all (x,y) .