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On Extrinsic Information of Good Codes Operating Over Memoryless Channels with Incremental Noisiness

机译:在具有增量噪声的记忆频道上运行的好代码的外在信息

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We show that the Extrinsic Information about the coded bits of any good (capacity achieving) code operating over a binary symmetric channel is zero when the code operates at code rate above capacity and a positive constant otherwise, that is, the Extrinsic Information Transfer (EXIT) chart is a step function of channel quality, for any capacity achieving code. This extends similar previous results proved over the erasure channel and over the AWGN channel, indicating the step function property of the EXIT chart is rather general. It follows that, for a common class of iterative receivers where the error correcting decoder must operate at the first iterations at rate above capacity (such as in turbo equalization, turbo channel estimation, parallel and serial concatenated coding and the like), classical good codes which achieve capacity over the relevant channels are not effective and should be replaced by different new ones.
机译:我们表明,当代码以高于容量高于高容量和正常数时,所示,当代码以高于容量和正常常数,即外部信息传输(退出)时,所在的任何好的(容量实现)代码的所外信息的外在信息为零)图表是频道质量的一步函数,对于任何能力实现代码。这扩展了类似的先前结果,证明了擦除通道和AWGN通道上,指示出口图的步骤函数属性相当普遍。因此,对于误差校正解码器的常见类别的迭代接收器,其中必须在高于容量的第一次迭代(例如在Turbo均衡,涡轮通道估计,并行和串行连接编码等中的第一次迭代中,典型的好代码在相关渠道上实现的能力无效,应由不同的新渠道取代。

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