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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Given below are two statements:
Statement I: The laws of nature put two fundamental limits on the data rate of a channel. The H. Nyquist limit restricts the number of independent samples per second to twice the bandwidth in a noiseless channel.
Statement II: Shannon's major result about noisy channel is that the maximum data rate of a channel whose bandwidth is $H$ Hz, and whose signal-to-noise ratio is $\frac{S}{N}$ is given by:
Maximum number of bits/sec $=H\log_2\left(1+\frac{S}{N}\right)$
In the light of the above statements, choose the correct answer from the options given below:
Statement I: The laws of nature put two fundamental limits on the data rate of a channel. The H. Nyquist limit restricts the number of independent samples per second to twice the bandwidth in a noiseless channel.
Statement II: Shannon's major result about noisy channel is that the maximum data rate of a channel whose bandwidth is $H$ Hz, and whose signal-to-noise ratio is $\frac{S}{N}$ is given by:
Maximum number of bits/sec $=H\log_2\left(1+\frac{S}{N}\right)$
In the light of the above statements, choose the correct answer from the options given below:
Solution
Statement I is true.Nyquist theorem gives the limit for a noiseless channel.
It says that for a channel of bandwidth $H$, the maximum number of independent samples per second is $2H$.
So, Statement I is true.
Statement II is also true.
Shannon capacity theorem gives the maximum data rate of a noisy channel as:
$C=H\log_2\left(1+\frac{S}{N}\right)$
where $H$ is bandwidth and $\frac{S}{N}$ is signal-to-noise ratio.
Therefore, both statements are true.
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