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On the general defective channel with informed encoder and capacities of some constrained memories

机译:在具有已知编码器和某些受约束存储器容量的一般缺陷通道上

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From an information-theoretical point of view the write once memory (WOM), the unidirectional memory (WUM), the write isolated memory (WIM), the memory with address faults (MAF), Blackwell's broadcast channel, and some other constrained memories and channels with an informed encoder can be considered as particular cases of the general defective channel (GDC) introduced by Kuznetsov (1983) as a generalization of a memory with defects. Using the concept of the GDC we consider a unified approach to the investigation of different types of natural and artificial channels with a finite number of states known to the encoder, but unknown to the decoder. To illustrate the usefulness of this approach we derive the capacities of the above-mentioned constrained memories (WOM, WUM, WIM, MAF) as corollaries of lower and upper bounds for the number of messages transmitted over the GDC.
机译:从信息论的角度来看,一次写入存储器(WOM),单向存储器(WUM),写隔离存储器(WIM),具有地址错误的存储器(MAF),布莱克韦尔广播信道以及一些其他受约束的存储器具有已知编码器的通道可以看作是Kuznetsov(1983)引入的一般缺陷通道(GDC)的特殊情况,它是对缺陷存储器的概括。使用GDC的概念,我们考虑采用统一的方法来研究不同类型的自然和人工信道,其中有限数量的状态对于编码器来说是已知的,而对于解码器来说是未知的。为了说明此方法的实用性,我们推导了上述受限存储器(WOM,WUM,WIM,MAF)的容量,作为通过GDC传输的消息数的上下限的推论。

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