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基础篇–信息和编码


想象一下电脑的几个使用场景。

  • 办公的时候,我打开word,输入文字,文字会显示在屏幕上。然后保存,提示保存成功。
  • 看剧,我输入一个网址,显示一个网页。我在网页上点鼠标,选了我要看的剧,开始播放。
  • 玩儿游戏,我按了一下攻击,游戏角色去砍了怪物一刀,怪物头上飘字,掉血。

这几个操作,都有一些相似的地方:我按了键,或者点了鼠标,然后电脑告诉了我这个操作的结果。用word的时候,我打个字,电脑就会显示在屏幕上。看剧我点鼠标选要看的剧,他就会播放。玩儿游戏我进行操作,游戏角色就会做出相应动作。

本质上,是我给电脑输入(Input)了信息(Information),电脑进行了一些处理,然后告诉了我结果(输出:Output)。电脑其实是处理信息的工具。电脑相关的行业,叫IT(Information Technology)行业,字面意思信息技术。

其实各行各业,都是在搜集和处理信息,但是一般说的IT,只是电脑和通信相关的行业。


但是信息这个东西吧,他其实本身没什么意义,意义是我们赋予给他的。

比如初中的时候,同学之间很爱玩儿一种密码游戏,我和同学之间约定,1是上午,2是下午,5是吃饭,9是食堂,这个过程叫编码(Code)。那么如果我写159,想表达的就是上午去食堂吃饭。同学看到了,1对应上午,5对应吃饭,9对应食堂,他也知道了上午去食堂吃饭这个意思,这个过程叫解码(Decode)。在这里,1、2、5、9只是一个单纯的符号,没有实际意义,意义是我赋予给他的。

再比如说,门口有一盏灯,他通电就会开,断电就会关,我发神经一直开关开关,有意义吗?除了证明我发神经以外,没啥实际意义。当然能证明我发神经也是一种意义了,只不过这个意义没有意义。但是如果我和住在我对面的小明约好,灯亮了,说明我妈不在家,可以过来玩儿游戏,灯灭了,我妈在家,别来。这下这个灯的开关,就有意义了。除了这个意义,我还可以赋予给他其他的意义,比如灯亮了是来吃饭,灯灭了是出去玩,反正只要我和小明说好就行了。

一盏灯,只有开和关2种状态,当然有些灯是能调亮度的,但是我实在是分不出来这个灯是30%亮,还是50%亮,所以为了大家都好过,亮和不亮最直观。那么这一盏灯也就最多只能表示2个意思:开代表一个,关代表一个。当然如果有彩色的灯,比如它可以切换红黄绿三种颜色,那么它就可以表示三个意思。

但是一盏灯表示的信息始终是有限的,如果是单色灯,要表达更多的意思,怎么办?答案是无解,只能用其他办法,比如再来一个灯,那么现在就可以表示开开、开关、关开、关关四个意思。那我就可以和小明约定,开开是来玩儿游戏,开关是来吃饭,关开是我来找你,关关是别来了撤。每增加一个灯,是再之前的基础上,增加了2种状态,表达的意思总数就是之前的再乘以2。同理,如果是3个颜色的灯,就是再之前的基础上乘以3。所以如果有N盏灯,每盏灯单独能表示X个意思,那么这个组合能表达的意思的数量就是:

X^N (X的N次方)

这只是其中的一种方式,把2盏灯表达的信息,看成了一个整体,所以有4种状态。还有一种,比如第一个灯,表示小明来不来,第二个灯,表示我今天开不开心,这种每个灯都是独立的表达,也是可以的。但是总的来说,灯越多,能表达的意思就更丰富。

信息表达的意义,还可以表示表示再表示,老千层饼。比如,为了方便打字,用1表示开,0表示关。这样一来,11就表示了开开,开开就表示了叫小明来玩儿游戏。


有小机灵鬼可能发现了,可以让灯闪起来,表达更多的意思啊,而且还可以让他花式闪起来,比如隔一秒闪一次是一个意思,隔两秒闪一次是一个意思,先隔一秒再隔两秒闪起来是一个意思。确实很对,而且也有人这么干了,这就是以前的电报。以前的电报,结构上,大概就是,我和你之间,有一个电线,开关在我这里,灯在你那边。我给你发,你只能收。如果你要给我发,就再来一个电线,只是开关在你那,灯在我这。同时再加一个喇叭,灯亮的时候喇叭也响。所以你看电视就会看到滴滴滴滴的声音。其实声音才是主体,灯反而是辅助的。

由于只有一条线路一个灯,同一时间,只能表达一个信息,而且关的时候默认是没信息。这一条电路,我们叫做一个信道(Channel),一个信道同一时间只能表示信息的个数,我们叫信道的宽度(Width)。如果我要表达多盏灯才能表达的信息,要么就是再来一些灯,也就是拓展信道宽度。要么就是把时间错开,先发一个,等一下再发一个,等一下再发一个,这种叫分时传输(Time Division Transfer)。你看电视也知道拓宽信道在当时的技术条件下是不可能的了,所以电报选择了后者,表现出来的就是花式闪灯。电报规定了2种最基本的操作,短亮(记作滴,写成0)和长亮(记作嗒,写成1)。为什么只有短亮和长亮,长亮可以亮一秒,亮2秒,亮3秒啊。其实还是一个道理,短和长,比较好区分,但是长几秒,就不是那么好区分了。所以短亮就相当于上面的灯关(0),长亮就相当于上面的灯开(1)。

然后我们就开始编码,比如我们要表示0~9这10个数字,算一下,最少需要4个灯。那么

0000表示数字0

0001表示数字1

。。。 。。。

1001表示数字9

然后再用千层饼,数字1表示A,数字2表示B,一直到26表示Z,基本上不管是拼音还是英文,可以表达一些基本信息了。这一串信息发出去就是0000000101010……101010101。

有些小机灵鬼可能又发现了,如果我直接用0表示数字0,1表示数字1,00表示数字2,01表示数字3,以此类推,就可以少发一些滴答滴了啊。没错,这种编码方式,就是变长( Variable-length)编码,每个数字的编码长度是不同的。而上面用的方式是定长( Fixed-length)编码,每个数字的长度是相同的。用定长编码,解码的时候,会比较方便,因为每个数字都是用4个符号来表示,一长串01010101很容易的就被分割成了0101和0101。而变长编码由于长度不固定,不知道怎么分割到底这一长串01010101,我是0 10 10 101还是 010 101 01,还是01010 1 01,都会产生不同的信息,为了解决这个问题,我可能会做一些其他的约定,比如会每发完一个数字,就停1秒,这样才能分割信息。这样看起来,变长编码好像更费事,因为为了分割会加一些额外的东西,比如这里每个信息之间会多停一秒时间,但是如果你发的信息大部分都是0或者01这样的短码,少数0101这样的长码,总的来说变长码就会更节约。而如果你发的大部分都是长码,那变长码由于多加了一些分割信息,就需要发送更多的信息。

但是不管怎么弄吧,电报这种方式很不直观,之前我看一眼,一排灯,是亮是暗一眼就看完,现在我要等,要把这一串滴答滴答滴听完,才知道说的是什么。这就相当于,有人给你发微信,发了一个59秒的语音,你必须要听满一分钟才行,要是中间走神了,还要再听一遍,如果他给你发的文字,说不定一眼就看完了, 中间走神了还可以从走神那接着看。所以,这种方式被时代抛弃了。

而之所以电报会弄的这么麻烦,就是因为它只有一个信道,而且宽度只有1。如果有很多信道,或者信道宽度更宽,它同一时间就可以表达更多的信息。但是信道的宽度始终是有限的,所以最终,还是会通过这种分时的方式,来发送信息。比如网线,也是通过分时的方式来发送的,但是为什么你没有感觉会等在那里一直听滴答滴呢,因为这部分电脑帮你做了,它一直等在那里听滴答滴,然后解码出来一个信息之后,才会通知你,所以你感觉就是完整的信息瞬间就到了。


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