Mlnimum-cost encoding of information

N. Blachman
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引用次数: 12

Abstract

Haying determined a cost in energy, time, or money of transmitting each of a set of symbols (e.g., dot and dash, pulses of various amplitudes, etc.), one may inquire as to the nature of a code using these symbols which will transmit a given amount of information at the least cost, or will transmit information at a given rate for the least cost per unit time. Such a code must use each symbol with a relative frequency given by a negative exponential of a linear combination of its cost and duration in the case of a noiseless communication channel. If noise is present, the cost of each symbol is effectively increased by a multiple of its "prevarication," i.e., the entropy of the received symbol when only the given symbol is transmitted.
信息的最小代价编码
在确定了传输一组符号(例如,点和破折号,各种幅度的脉冲等)的能量、时间或金钱成本之后,可以查询使用这些符号的代码的性质,这些符号将以最少的成本传输给定数量的信息,或者将以最小的单位时间成本以给定的速率传输信息。在无噪声通信信道的情况下,这样的代码必须以相对频率使用每个符号,该频率由其成本和持续时间的线性组合的负指数给出。如果存在噪声,则每个符号的成本将有效地增加其“推诿”的倍数,即仅发送给定符号时接收到的符号的熵。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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