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By taking information per pulse in bit/pulse to be the base-2-logarithm of the number of distinct messages M that could be sent, Hartley[2] constructed a measure of the line rate R as:
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通过将每个脉冲中的Bit/脉冲中的信息作为可以发送的不同消息M的数量的2的对数,Hartley<ref>{{cite book | title = Information Theory; and its Engineering Applications | author = D. A. Bell | edition = 3rd | year = 1962 | publisher = Pitman | location = New York}}</ref>构造了一种测量线速R的方法:
通过将每个脉冲中的每位脉冲中的信息作为可以发送的不同消息M的数量的2的对数,Hartley [2]构造了一种测量线速R的方法:??
   
然后可以根据一下公式计算出先速率R的值:
 
然后可以根据一下公式计算出先速率R的值:
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where {\displaystyle f_{p}} f_{p} is the pulse rate, also known as the symbol rate, in symbols/second or baud.
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公式中<math>f_{p}</math>为脉冲速率,也称之为符号率,单位为符号/秒(symbols/second)或波特(baud)。
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公式中<math>f_{p}</math>为脉冲速率,也称之为符号速率,单位为符号/秒或波特。
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Hartley then combined the above quantification with Nyquist's observation that the number of independent pulses that could be put through a channel of bandwidth {\displaystyle B} B hertz was {\displaystyle 2B} 2B pulses per second, to arrive at his quantitative measure for achievable line rate.
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哈特利(Hartley)随后将上述量化结论与奈奎斯特的观察结合起来,观察到可以通过带宽信道放置的独立脉冲数 {\ displaystyle B}B赫兹原为{\ displaystyle 2B}2B 每秒脉冲数,以得出可达到的线路速率的量化指标。
 
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哈特利随后将上述结论与奈奎斯特的观察结合起来,即B赫兹的带宽信道中可以传输的独立脉冲为2B脉冲每秒,由此可以计算出线速率。
      
Hartley's law is sometimes quoted as just a proportionality between the analog bandwidth, {\displaystyle B} B, in Hertz and what today is called the digital bandwidth, {\displaystyle R} R, in bit/s.[3] Other times it is quoted in this more quantitative form, as an achievable line rate of {\displaystyle R} R bits per second:
 
Hartley's law is sometimes quoted as just a proportionality between the analog bandwidth, {\displaystyle B} B, in Hertz and what today is called the digital bandwidth, {\displaystyle R} R, in bit/s.[3] Other times it is quoted in this more quantitative form, as an achievable line rate of {\displaystyle R} R bits per second:
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