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Fundamental limits on the power consumption of encoding and decoding

机译:编码和解码功耗的基本限制

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We provide fundamental information-theoretic bounds on the required circuit wiring complexity and power consumption for encoding and decoding of error-correcting codes. These bounds hold for all codes and all encoding and decoding algorithms implemented within the paradigm of our VLSI model. This model essentially views computation on a 2-D VLSI circuit as a computation on a network of connected nodes. The bounds are derived based on analyzing information flow in the circuit. They are then used to show that there is a fundamental tradeoff between the transmit and encoding/decoding power, and that the total (transmit + encoding + decoding) power must diverge to infinity at least as fast as cube-root of log 1/pe, where Pe is the average block-error probability. On the other hand, for bounded transmit-power schemes, the total power must diverge to infinity at least as fast as square-root of log 1/Pe due to the burden of encoding/decoding.
机译:我们为纠错码的编码和解码提供了所需的电路布线复杂性和功耗方面的基本信息理论界限。这些界限适用于在我们的VLSI模型范式内实现的所有代码以及所有编码和解码算法。该模型实质上将2-D VLSI电路上的计算视为连接节点网络上的计算。基于对电路中信息流的分析得出边界。然后,它们被用来表明在传输能力和编码/解码能力之间存在根本的折衷,并且总(传输+编码+解码)能力必须至少与log 1 / pe的立方根一样快地扩散到无穷大。 ,其中Pe是平均误块概率。另一方面,对于有限的发射功率方案,由于编码/解码的负担,总功率必须至少与log 1 / Pe的平方根一样快地扩散到无穷大。

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