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术语 mean transinformation
释义 mean transinformation
平均传送信息量
The mean of the transinformation content conveyed by the occurrence of any one of a finite number of mutually exclusive and jointly exhaustive events, given the occurrence of the events of another set of mutually exclusive events; in mathematical notation, the mean transinformation content, T, for a set of events x1…xn which are dependent on the occurrence of events from another set y1…ym with joint probabilities P(xi,yj) of the occurrence of both events xi,yi, equals the mathematical expectation of the transinformation content T( xi
|yj) of all pairs of events: T=∑ni=1 ∑mj=1P(xi,yj)T(xi
|yj). Note: The mean transinformation content is also equal to the difference between the entropy of one of the two sets of events and the conditional entropy of this set relative to the other. For instance, in transmitting one message, the difference between the entropy at the message source and the equivocation is equal to the difference between the entropy at the message sink and the irrelevance, i.e.: T=H(x)-H(x
|y)=H(y)-H(y
|x).
在给定另一组互相排斥事件发生的前提下,由有限数目的互相排斥与共同穷尽事件之中的任 一事件发生所传送信息量的平均值,用数学表示为: 对于一组事件x1…xn,它取决于另一组事 件y1…ym的发生,两种事件xi,yj发生的共同概率为P(xi,yj),平均传送信息量T 等于所有成对事件传送信息量T(xi
|yj)的数学期望值: T=∑ni=1 ∑mj=1 P(xi,yj)T(xi
|yj)。 注: 平均传送信息量还等于这两组事件中一组的熵和这组事件(与另一组相对应)的条件 熵之间的差值。例如,在传输一份报文中,在报文发送端的熵与条件信息量总平均值 的差值等于在报文接收端的熵与不相关性的差值,即T=H(x)-H(x
|y)=H(y)-H(y
|x)。 同mean transinformation content。
参阅character mean transinformation content。
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