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Radio 102: Noise In An Information Carrying System

Each letter in the word is represented by noise is purely random. This theorem may
different signal amplitude using thirty be used as a very good approximation for
two scale order. If we do so information the ultimate channel capacity of most of
flow speed gets greatly increased as per the transmission channels in spite of the
Hartley law. Since now each letter is fact that the noise present in most
represented by one symbol instead of channels is never perfectly random. It is
five. But in such a case noise will cause found that the limiting channel speed for
numerous error making the system useless a typical telephone channel is about
extremely large transmitting power is thirty three kilo bits per second. How
used. This fact may be established on ever speeds used in practice over such
comparing the power requirements for the channels do not normally exceed eleven
binary coding system and any N-level kilo bits per second. Doubling the speed
system under the same noise conditions. the bandwidth of a noise limited channel
For a given transmission and coding will double its capacity would amount to
system there results are threshold noise misinterpretation. Actually the capacity
levels below which practically no errors gets increased by only eighty percent
occur due to noise. Using binary code depending upon signal to noise ratio.
noise has to compete with the full power Thus we see that there exists possibility
of the transmitter to cause any serious of trading bandwidth for signal to noise
error. It is found that in a practical ratio. It may also be noted that a low
channel, signal to noise ratio of thirty channel capacity does not mean that the
decibel ensures almost error free desired amount of information can not be
reception. This thirty decibel ratio seen over a given channel. It simply
implies that noise power be one by means sending this amount of information
thousand of signal power or root mean takes longer time. Lastly it may be seen
square noise voltage be one by thirty one that the Shannon-Hartley theorem
of root mean square signal voltage. represents a fundamental limitation. Any
The transmitted power is required to rise attempt to exceed the Shannon limit would
tremendously if a desired high signal to result in unacceptable error rate. In
noise power ratio is to be maintained on good quality transmission system maximum
increasing signaling speed that is on acceptable error ratio is one in 1000000.
increasing the number of coding levels. All the messages sent though the noise
Shannon-Hartley theorem gives the maximum limited channel are unpredictable or
signaling speed in a channel in which the random.




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